Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 208253: Rejection of the null hypothesis in the two-sample case implies that
a. the samples are different on the trait of interest
b. the populations from which the samples are drawn are different on the trait of interest
c. the samples are not different on the trait of interest
d. the populations from which the samples are drawn are not different on the trait of interest
Click here to see answer by stanbon(75887)  |
Question 208252: Under what conditions would you use the t distribution to test the significance of a single sample proportion?
a. none, always use the Z distribution
b. only when the population standard deviation is known
c. only when sample size is less than or equal to 120
d. only when the population is normally distributed
Click here to see answer by stanbon(75887) |
Question 208297: Over the last several years, the use of cell phones has increased dramatically. According to a recent poll, the mean talking time per month for cell phones was 372 minutes for men and 275 minutes for women, while the mean talking time per month for traditional home phones was 334 minutes for men and 510 minutes for women.
Suppose that the poll was based on a sample of 100 men and 100 women, and that the standard deviation of talking time per month for cell phones was 120 minutes for men and 100 minutes for women, while the standard deviation of talking time per month for home phones was 110 minutes for men and 150 minutes for women. At the .05 level of significance, is there evidence of a difference in the variability of monthly talking time on cell phones for men and women?
Click here to see answer by stanbon(75887) |
Question 208294: The personnel director of a large insurance company is interested in reducing the turnover rate of data processing clerks in the first year of employment. Past records indicate that 25% of all new hires in this area are no longer employed at the end of one year. Extensive new training approaches are implemented for a sample of 150 new data processing clerks. At the end of a one-year period, 29 of these 150 individuals are no longer employed. At the .01 level of significance, is there evidence that the proportion of data processing clerks who have gone through the new training and are no longer employed is less than .25?
Click here to see answer by stanbon(75887) |
Question 208293: A quality control expert is called in to determine whether a newly installed machine is producing a particular cotton cloth according to the specifications set by the manufacturer. The mean warp-breaking strength of this particular cotton cloth has been established to be 66 pounds. A random sample of 36 pieces of cotton cloth is obtained from a production run on this machine. The results of the sample reveal a mean warp-breaking strength of 64.5 pounds and a standard deviation of 5 pounds. Can the quality control expert say that the cotton produced on the new machine meets the warp-breaking specification of the manufacturer at the .05 level of significance?
Click here to see answer by stanbon(75887) |
Question 208441: An automatic machine in a plant produces lengths of unit that if is operating properly, are nomrally distributed with a mean of 127cm, and a standard deviation of 3.1
What is the probability that if 3 units are randomly selected, their average or mean length will be greater than 130cm?
How would you approach this problem?
Click here to see answer by Theo(13342)  |
Question 208447: If the model assumptions concerning interval-ratio level of measurement and normal sampling distribution can be satisfied, the preferred test of hypothesis for the difference between samples is
a. a nonparametric test
b. ANOVA
c. alpha
d. a test of difference in means
Click here to see answer by stanbon(75887) |
Question 208446: When random samples are drawn in such a way that the selection of a case for one sample has no effect on the selection of cases for another sample, the samples are:
a. Dependent
b. Independent
c. Simple
d. Systematic
Click here to see answer by stanbon(75887) |
Question 208442: Let x be the absolute difference between the number of heads and the number of trials obtained when a coin is tossed n times. What are the possible values of the random variables x? Find expressions for the probabilities of the first three and last three values of x.
Click here to see answer by stanbon(75887) |
Question 208440: Let a bowl contain 10 chips of the same size and shape. One and only one of those chips is res. Continue to draw chips from the bowl, one at the time and at random without replacemeent, until the red chip is drawn. Let x be the number of trials needed to draw a red chip. a) Find the probability mass function of x. b) Compute Pr[x<=4].
Click here to see answer by stanbon(75887) |
Question 208428: Credit cards companies use an algorithm for distinguising between valid credit card numbers and collections of random digits. The algorithm is as follows:
1. begin by doubling all even-positioned digits when counting from right to left.
2. Determine the sum of the digits from the digits from step one and each of the unaffected (odd-positioned digits) digits in the original number.
3. Determine the number to be added to the sum from step two so that this new sum is a multiple of 10. This number is the check digit.
Using the algorithm, what should be the final digit of this credit card number?
601143871005123_
In the above process there are two sums you are finding: one involving the odd-positioned digits and the other involving the even-positioned digits that were doubled. first consider the sum of the odd-positioned digits. what is the most the sum could be affected by if an incorrect digit was entered? explain why this occurs.
next consider the even-positioned digits that were doubled. it is possible here to have numbers that result in double digits. recall how this sum is determine. how is it possible that a single digit error would be detected? (hint: i think i can make a table that shows possible values for the check digit, the double of the check digit and the resulting sums...i just don't know how)
Click here to see answer by Edwin McCravy(20054)  |
Question 208460: The Tampa Bay (Florida) Area Chamber of Commerce wanted to know whether the mean
weekly salary of nurses was larger than that of school teachers. To investigate, they collected
the following information on the amounts earned last week by a sample of school
teachers and nurses.
teachers ($) 845 826 827 875 784 809 802 820 829 830 842 832
nurses ($) 841 890 821 771 850 859 825 829
Is it reasonable to conclude that the mean weekly salary of nurses is higher? Use the .01 significance level. What is the p-value?
Click here to see answer by stanbon(75887) |
Question 208459: The postanesthesia care area (recovery room) at St. Luke's Hospital in Maumee, Ohio, was recently enlarged. The hope was that with the enlargement the mean number of patients per day would be more than 25. A random sample of 15 days revealed the following number of patients.
25 27 25 26 25 28 28 27 24 26 25 29 25 27 24
At the .01 significance level, can we conclude that the mean number of patient per day is more than 25? Estimate the p-value and interpret it.
Click here to see answer by stanbon(75887) |
Question 208457: Given the following sample information, test the hypothesis that the treatment means are equal at the .05 significance level.
Treatment 1 Treatment 2 Treatment 3
3 9 6
2 6 3
5 5 5
1 6 5
3 8 5
1 5 4
4 1
7 5
6
4
1. State the null hypothesis and the alternate hypothesis.
2. What is the decision rule?
3. Compute SST, SSE, and SS total.
4. Complete an ANOVA table.
5. State your decision regarding the null hypothesis.
6. If H0 is rejected, can we conclude that treatment 2 and treatment 3 differ? Use the 95 percent level of confidence
Click here to see answer by stanbon(75887) |
Question 208486: In a normal distribution with a mean and a std deviation, how do you find the probability of selecting 3 random units, whose total average exceeds a certain value?
For example, normal distribution with mean of 127, and SD of 3.1: what is the probability that if three random units are selected, their total average (add up the values and divide by three), is greater than 130?
Click here to see answer by stanbon(75887) |
Question 208523: A five question multiple-choice quize as five choices for each answer.What is the probability of correctly answering at random exactly one correct answer?
Exactly two correct answers? Exactly three correct answers?
Click here to see answer by stanbon(75887) |
Question 208680: **Stanborn - You helped with this one, but gave an answer to another problem**
Over the last several years, the use of cell phones has increased dramatically. According to a recent poll, the mean talking time per month for cell phones was 372 minutes for men and 275 minutes for women, while the mean talking time per month for traditional home phones was 334 minutes for men and 510 minutes for women.
Suppose that the poll was based on a sample of 100 men and 100 women, and that the standard deviation of talking time per month for cell phones was 120 minutes for men and 100 minutes for women, while the standard deviation of talking time per month for home phones was 110 minutes for men and 150 minutes for women. At the .05 level of significance, is there evidence of a difference in the variability of monthly talking time on cell phones for men and women?
Click here to see answer by stanbon(75887) |
Question 208701: There are three hospitals in the Tulsa, Oklahoma, area. The following data show the number
of outpatient surgeries performed at each hospital last week. At the .05 significance level,
can we conclude there is a difference in the mean number of surgeries performed by hospital
or by day of the week?
Number of Surgeries Performed
Day St. Luke's St. Vincent Mercy
Monday 14 18 24
Tuesday 20 24 14
Wednesday 16 22 14
Thursday 18 20 22
Friday 20 28 24
Click here to see answer by stanbon(75887) |
Question 208700: The president of the American Insurance Institute wants to compare the yearly costs of auto
insurance offered by two leading companies. He selects a sample of 15 families, some with
only a single insured driver, others with several teenage drivers, and pays each family a
stipend to contact the two companies and ask for a price quote. To make the data comparable,
certain features, such as the amount deductible and limits of liability, are standardized.
The sample information is reported below. At the .10 significance level, can we
conclude that there is a difference in the amounts quoted?
Family Progressive GEICO
Becker $2,090 $1,610
Berry 1,683 1,247
Cobb 1,402 2,327
Debuck 1,830 1,367
DuBrul 930 1,461
Eckroate 697 1,789
German 1,741 1,621
Glasson 1,129 1,914
King 1,018 1,956
Kucic 1,881 1,772
Meredith 1,571 1,375
Obeid 874 1,527
Price 1,579 1,767
Phillips 1,577 1,636
Tresize 860 1,188
Click here to see answer by stanbon(75887) |
Question 207452: i understand how to do mean and median but i am very confused on sum of squared deviations, variance, and standard deviations. So if you could please show every detail on how you got those so i can try to understand it to do the rest of my homework that would be great thanks!
For the following scores, find the A)Mean, B)Median, C) sum of squared deviations, D) variance, and E)standard deviation:
2,2,0,5,1,4,1,3,0,0,1,4,4,0,1,4,3,4,2,1,0
Thank you so much for the help
Click here to see answer by fakk2(1) |
Question 209001: 7. Which of the following is a characteristic of a binomial probability experiment?
A. Each trial has at least two possible outcomes
B. P(success) = 1 – P(failure)
C. The binomial random variable x is the count of the number of trials that occur
D. The result of one trial affects the probability of success on any other trial
Answer:
8. If the random variable z is the standard normal score, which of the following probabilities could easily be determined without referring to a table?
A. P(z > 5)
B. P(z < 1.43)
C. P(z < - 2.95)
D. P(z > -0.35)
Answer:
9. If P(A) = 0.45, P(B) = 0.35, and P(A and B) = 0.25, then P(B | A) is:
A. 1.4 B. 1.8 C. 0.714 D.0.556
Answer:
10. In which of the following binomial distributions is the normal approximation appropriate?
A. n = 100, p = 0.04
B. n = 50, p = 0.09
C. n = 75, p = 0.06
D. n = 12, p = 0.45
Answer:
Part II. Short Answers & Computational Questions
1. Classify the following as discrete or continuous random variables (4 pts)
a. The number of Nursing majors at South University
b. The time it takes to complete this assignment
c. The blood pressures of all patients admitted to a hospital on a certain day
d. The number of people who play the state lottery each day
Answer:
2. A small bag of Skittles candies has the following assortment: red (12), blue (5), orange (15), brown (0), green (16), and yellow (7). Construct the probability distribution for x. (6 pts)
Answer:
x red blue orange brown green yellow
P(x) 0.218 0.091 0.273 0 0.291 0.127
3. Find the mean and standard deviation of the following probability distribution: (4 pts)
x 1 2 3
P(x) 0.4 0.25 0.35
Answer:
4. Find the following probabilities: (4 pts)
a. Events A and B are mutually exclusive events defined on a common sample space. If P (A) = 0.3 and P(A or B) = 0.75, find P(B).
b. Events A and B are defined on a common sample space. If P(A) = 0.30, P(B) = 0.50, and P(A or B) = 0.72, find P(A and B)
Answer:
5. Find the value of z such that 45% of the distribution lies between it and the mean (4pts)
Answer:
6. In testing a new drug, researchers found that 5% of all patients using it will have a mild side effect. A random sample of 15 patients using the drug is selected. Find the probability that: (4pts)
i. exactly three will have this mild side effect
ii. at least two will have this mild side effect.
Answer:
7. A large shipment of TV sets is accepted upon delivery if an inspection of twelve randomly selected TV sets yields no more than one defective TV. (6 pts)
i. Find the probability that this shipment is accepted if 5% of the total shipment is defective.
ii. Find the probability that this shipment is not accepted if 10% of this shipment is defective
Answer:
8. X has a normal distribution with a mean of 80.0 and a standard deviation of 3.5. Find the following probabilities: (6 pts)
i. P(x < 74.0)
ii. P(76.0 < x < 85.0)
iii. P(x>89.0)
Answer:
9. Assume that the average annual salary for a worker in the United States is $31,000 and that the annual salaries for Americans are normally distributed with a standard deviation equal to $7,500. Find the following: (6 pts)
i. What percentage of Americans earn below $20,000?
ii. What percentage of Americans earn above $45,000?
Click here to see answer by stanbon(75887) |
Question 209033: You are conducting a survey at a college with 800 students, 50 faculty members,
and 150 administrative staff members. Each of these 1,000 individuals has
a single listing in the campus phone directory. Suppose you were to cut up the
directory and pull out one listing at random to contact. What is the probability
it would be (a) a student, (b) a faculty member, (c) an administrative staff
member, (d) a faculty or administrative staff member, and (e) anyone except an
administrative staff member? (f) Explain your answers to someone who has
never had a course in statistics.
Click here to see answer by stanbon(75887) |
Question 209096: A certain type of thermal battery
for an airplane navigation device backup power has a
mean life of 300 hours with a standard deviation of 15
hours. What proportion of these batteries can be
expected to have lives of 322 hours or less? Assume a normal
distribution of backup power device lives.
Click here to see answer by stanbon(75887) |
Question 209030: A person scores 81 on a test of verbal ability and 6.4 on a test of quantitative
ability. For the verbal ability test, the mean for people in general is 50 and the
standard deviation is 20. For the quantitative ability test, the mean for people in
general is 0 and the standard deviation is 5. Which is this person’s stronger
ability: verbal or quantitative? Explain your answer to a person who has never
had a course in statistics.
Click here to see answer by stanbon(75887) |
Question 209029: On a standard measure of hearing ability, the mean is 300 and the standard deviation
is 20. Give the Z scores for persons who score (a) 340, (b) 310, and (c)
260. Give the raw scores for persons whose Z scores on this test are (d) 2.4, (e)
1.5, (f) 0, and (g) 4.5.
Click here to see answer by stanbon(75887) |
Question 209228: On November 1, the Holiday House Store marked up a $50 decoration by 30%. On November 28, the decoration was marked down 10%. It was marked up 20% on sales on December 1. Finally, it was marked down 70% on December 26. Find the final selling price.
Click here to see answer by Theo(13342) |
Question 209309: Based on the information given for each of the following studies, decide whether to reject the null hypothesis. For each give the z-score cutoff (or cutoffs) and the comparison distribution at which the null hypothesis should be reject, the z-score on the comparison distribution for the sample score and your conclusion. Assume that all populations are normally distributed.
I cant get table on her e hopefully you will be able to see it in the text.
I am really confused aboutz-scores
Thanks
Click here to see answer by stanbon(75887) |
Question 209083: In each case, consider what you know about the distribution
and then explain why you would expect it to be
or not to be normally distributed.
a. The wealth of the parents of students attending your
school
b. The values that a group of fourth-grade students
would give for the length of a segment that they
measured with a ruler
c. The SAT or ACT examination scores in mathematics
for students who were in your high school
graduation class
d. The weights of all incoming freshman students at
your school
Click here to see answer by stanbon(75887) |
Question 209460: A coin is flipped 3 times and heads (H) or tails (T) are recorded.
a. List all the elements in the sample space.
b. List the elements in the event “at least two heads
appear.”
c. Find the probability that the event in part (b) occurs.
Click here to see answer by stanbon(75887) |
Question 209699: A piece of wire was cut into pieces. One was bent into a square and the other was bent into a equiliteral triangle. One side of the equilateral triangle has the same whole-number length (in cm) as one side of the square. If the length of the original piece of wire is more than 21 cm and less than 50 cm, find all possible measurements for the sides of the figures.
Click here to see answer by RAY100(1637) |
Question 209866: A committee of three is selected at random from a set consisting of five Democrats, eight Republicans,and two Independents.
(a) What is the probability that the committee consists of all Democrats?
(b) What is the probability that the committee consists of no Republicans?
Click here to see answer by stanbon(75887) |
Question 209893: suppose you have totally forgotten the combination to your locker. There are three numbers in the combination, and you're sure each number is different. The numbers on the lock's dial range from 0 to 35. If you test one combination every 12 seconds, how long will it take to test all possible combinations?
Click here to see answer by solver91311(24713)  |
Question 209965: A bag contains 37 marbles. There are 10 red, 4 green, 9 yellow and the rest are blue. You reach into the bag, take out a marble, it is red. you set this marble in a bowl on the table and reach in the bag again. What is the probability that you will reach in and pull out a blue marble?
Click here to see answer by vleith(2983) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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