Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 637144: (a) The quality control department of Red Stripe Jamaica Ltd is interested in estimating the actual amount of Red Stripe Beer that is placed in 275 ml bottles at its local bottling plant. If the standard deviation for 275 ml bottles is 0.05 ml and a random sample of one hundred 275 ml bottles obtained from the QC department indicates a sample average of 1.99 ml.
(i) Set up a 95 % confidence interval of the true average amount of beer in each bottle.
(ii) What would be your answer if a 98% confidence was used
(iii) If the QC department wants to have 99% confidence and a sampling error of .03, what sample size is required?
(iv) What are the properties of a good estimator discuss briefly.
Click here to see answer by stanbon(75887)  |
Question 636970: at a large department store, the average number of years of service was 13.5 with a standard deviation of 6.2 years. If an employee is picked at random, what is the probability that the employee has worked for the company between 10 and 17 years?
Click here to see answer by stanbon(75887) |
Question 637204: Suppose that you roll a single die.
(a) What is the probability that the number on the face is a 3 or a 6?
(b) What is the probability that the number on the face is not a 2?
(c) What is the probability that the number on the face is a 2 or a 4 or a 6?
Click here to see answer by solver91311(24713)  |
Question 637236: Z is the standard normal distribution. Find the indicated probability. HINT [See Example 1.] (Round your answer to four decimal places.)
P(−0.6 ≤ Z ≤ 1.34)
then find
P(0.4 ≤ Z ≤ 1.51)
and (Round your answer to four decimal places.)
μ = 45, σ = 10, find
P(30 ≤ X ≤ 65)
Click here to see answer by reviewermath(1029)  |
Question 637248:
govt. data shows that 10% of males under age 25 are unemployed. A random sample is taken of 400 males who are in the labor force and under age 25. Find the chance that the sample unemployment rate is 12% or more.
Click here to see answer by stanbon(75887) |
Question 637348: You play a game based on drawing a single card from a standard deck. You win$6 dollars if you draw an ace or a king. Draw any other card loses. What price should you have to pay to play this game, if the game is to be a fair game?
Click here to see answer by lynnlo(4176) |
Question 637427: The names of 9 males and 26 females are placed into a jar for a prize drawing. Two names are drawn from the jar without replacement. What is the probability of a male name being drawn on the first draw and a female name being drawn on the second draw?
Click here to see answer by ewatrrr(24785)  |
Question 637447: Joan’s Nursery specializes in custom-desig...
Joan’s Nursery specializes in custom-designed landscaping for residential areas. The
estimated labor cost associated with a particular landscaping proposal is based on the
number of plantings of trees, shrubs, and so on to be used for the project. For costestimating
purposes, managers use two hours of labor time for the planting of a
medium-sized tree. Actual times from a sample of 10 plantings during the past month
follow (times in hours).
1.7 1.5 2.6 2.2 2.4 2.3 2.6 3.0 1.4 2.3
With a .05 level of significance, test to see whether the mean tree-planting time differs
from two hours.
a. State the null and alternative hypotheses.
b. Compute the sample mean.
c. Compute the sample standard deviation.
d. What is the p-value?
e. What is your conclusion?
Click here to see answer by stanbon(75887) |
Question 637440: .Sales personnel for Skillings Distributors submit weekly reports listing the customer contacts
made during the week. A sample of 65 weekly reports showed a sample mean of 19.5
customer contacts per week. The sample standard deviation was 5.2. Provide 90% and 95%
confidence intervals for the population mean number of weekly customer contacts for the
sales personnel.
Click here to see answer by stanbon(75887) |
Question 637477: Using the date in the Excel file MBA Student Survey, find 95% confidence intervals for the mean number of nights out per week and the mean number of study hours per week by gender. Based on the confidence intervals, would you conclude that there is a difference in social and study habits between males and females?
Click here to see answer by solver91311(24713) |
Question 637397: A. Let f(x)=kx^3 with xe{1,3}
B. Determine k such that f(x)=kx^3 is a probability density function
C. Determine P(X<-2) x<- (Means less than or equal to)
D. Determine the expected value of X
E. Determine the varience of X.
Click here to see answer by stanbon(75887) |
Question 637540: A college professor prepares an exam of only eight questions. Prior to the exam, he gave to students twenty study questions, from which he selected eight to include on the exam. If a particular student knows the answer to only fourteen of the twenty questions, the probability that he will get all eight correct on the exam is approximately
a. 0.0288
b. 0.0552
c. 0.0037
d.0.0238
I'm really stuck on this one!
Click here to see answer by solver91311(24713) |
Question 637500: A jar contains 24 red and blue marbles. If the probability of selecting a red marble at random is 3/8, then how many red marbles must be added so that the probability of randomly selecting a red marble becomes 1/2 ?
(1) 3/8 = x/24
3[24]= 8x
72 = 8x
9 = x
(2) 9 red marbles
24-9 = 15 blue marbles
(3) 15-9 = 6 more red marbles
(4) [9+6]/[24+6]= 15/30 = 1/2
On step 3 I did not really know what to do so I just guessed and played with
numbers. I finally arrived at an answer when I subtracted the red marbles from the blue marbles, but I do not understand why this works.Guessing,checking,and luck will take a long time on an exam. How do I solve these type of problems? For example what would I do if I needed to find how many more red marbles are needed to go from a probability of 3/8 to 209/698? Please explain.
PS: What concepts do I need to review or learn in order to work problems like this or more difficult ones in this area?
I am sorry this is so long, but I would sincerely appreciate your time and effort with my dilemma.
- disgruntled student(Konny)
Click here to see answer by DrBeeee(684) |
Question 637602: In a survey it was found that the probability that a man likes bananas
is 0.5 and that the probability that a woman likes bananas is 0.4.
What is the probability that a man and his wife both like bananas?
Could you please give a detailed explanation on how you got this answer.
Click here to see answer by solver91311(24713) |
Question 637653: From a lot of 12 missiles, 5 are selected at random and fired. If the lot contains 3 defective missiles that will not fire, what is the probability that
a) all 5 will fire?
b) at most 2 will fire?
Please use hypergeometric distribution.
Click here to see answer by ewatrrr(24785) |
Question 637665: 1) The probability that a person is immune to a certain disease is 0.40.
a)what is the probability that 4 people will have the disease in a sample of 12 people?
b)find the mean number of people who have immunity in a sample size of 12.
c) find the standard deviation for the sample size
Click here to see answer by ewatrrr(24785) |
Question 637652: A foreign student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a committee of 4 is selected at random, find the probability that
a) all nationalities are represented;
b) all nationalities except the Italians are represented.
Please use hypergeometric distribution
Click here to see answer by ewatrrr(24785) |
Question 637651: A foreign student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a committee of 4 is selected at random, find the probability that
a) all nationalities are represented;
b) all nationalities except the Italians are represented.
Please use hypergeometric distribution.
Click here to see answer by ewatrrr(24785) |
Question 637623: Two Trains left a station at the same time. One, Train A, traveled north at a certain speed and the other, Train B, traveled south at twice the speed. After 4 hours, the trains were 600 miles apart. How fast was each train traveling? Use needs to input the initial speed of train a to being the simulation.
Click here to see answer by checkley79(3341) |
Question 637798: How well do airline companies serve their customers? A study showed the following customer ratings: 3% excellent, 28% good, 45% fair, and 24% poor. In a follow-up study of service by telephone companies, assume that a sample of 400 adults found the following customer ratings: 24 excellent, 124 good, 172 fair, and 80 poor. Is the distribution of the customer ratings for telephone companies different from the distribution of customer ratings for airline companies? State the appropriate null and alternative hypothesis.
options:
H0: Distribution of customer rating for telephone companies is not different that airline companies. AND Ha: Distribution of customer rating for telephone companies is different that airline companies
H0:Distribution of customer rating for telephone companies is different that airline companies. AND Ha:Distribution of customer rating for telephone companies is not different that airline companies
H0:Distribution of customer rating for telephone companies is independent of airline companies. AND Ha:Distribution of customer rating for telephone companies is dependent of airline companies
H0:Distribution of customer rating for telephone companies is dependent of airline companies. AND Ha:Distribution of customer rating for telephone companies is independent of airline companies
Click here to see answer by reviewermath(1029) |
Question 637808: An instructor has been accused of sexual discrimination in grading, a serious charge. The dean takes a random sample of 150 grades posted by the instructor in the past and arrives at the results shown in the table.
Male Students
Female Students
Grade A
15
19
Grade B
21
15
Grade C
26
16
Grade D
9
14
Grade F
9
6
The Dean is willing to take only a 5% risk of incorrectly supporting the charge of sexual discrimination. Calculate the appropriate test statistic.
options:
4.8936
2.2121
23.9473
4.628
Click here to see answer by reviewermath(1029) |
Question 637810: The military historian, Von Bortkewitsch, obtained the following data on the number of death (per year per corp.) in the Prussian cavalry due to being kicked in the head by a horse.
Number of Death
Frequency
0
110
1
65
2
21
3
3
4 or more
1
State the appropriate null and alternative hypotheses to see if population distribution follows a Poisson distribution.
Question 13 options:
H0: The population has a Poisson distribution. AND Ha: The population does not have a Poisson distribution.
H0: The population does not have a Poisson distribution. AND Ha: The population has a Poisson distribution.
H0: The sample data has a Poisson distribution. AND Ha: The sample data does not have a Poisson distribution.
None of the above
Click here to see answer by reviewermath(1029) |
Question 638003: Assume that a sample is drawn and z(α/2) = 1.96 and σ = 30. Answer the following questions:
(A) If the Maximum Error of Estimate is 0.04 for this sample, what would be the sample size?
(B) Given that the sample Size is 400 with this same z(α/2) and σ, what would be the Maximum Error of Estimate?
(C) What happens to the Maximum Error of Estimate as the sample size gets smaller?
(D) What effect does the answer to C above have to the size of the confidence interval?
Click here to see answer by stanbon(75887) |
Question 637898: On a police sergeant’s examination, the historical mean score was 80 with a standard deviation of 20. Four officers who were alleged to be cronies of the police chief scored 195, 171, 191, and 189, respectively, on the test. This led to allegations of irregularity in the exam.
(a) Convert these four officers’ scores to standardized z-values.
(b) Do you think there was sufficient reason to question these four exam scores? What assumptions are you making?
(Data are from Detroit Free Press, March 19, 1999, p. 10A)
Click here to see answer by stanbon(75887) |
Question 637845: Bill is doing a project for you in the marketing department. In conducting his analysis regarding consumer behavior and a new product that has come out, he tells you the correlation between these two variables is 1.09. What is your response to this analysis?
Click here to see answer by stanbon(75887) |
Question 638059: This is probably an easy one but the answer I thought was right has been marked wrong can anyone help please?
In a bag there are 8 blue triangles, 5 blue squares, 10 red triangles and 7 red squares. What is the probability that a shape taken out of the bag will be a red square.
I thought it would be 7 in 30
Any help would be greatly appreciated
Thanks
Click here to see answer by jim_thompson5910(35256) |
Question 638192: A random sample is selected from a normal population. The population mean is μ=60 and the population standard deviation is σ=15. After a treatment is given to the members of the sample, the sample mean is M=65. The sample size is n=25.
A)The Hypothesis Test: a=0.05
Ho: μ=60
H1: μ<>60
B) SE[M]
C) Z
D) Is the sample mean sufficient to conclude that the treatment has a significant effect? Give reasons for your decision.
E) If the size of the sample was changed to n = 16, would the sample mean be sufficient to conclude that the treatment has a significant effect? Give reasons for your decision.
I'm confused on what it is asking does it want me to choose abc or I don't know.
thank you
Click here to see answer by reviewermath(1029) |
Question 638199: A machine on the average produces
5% defective items. What are the mean
and variance in a set of 32 items ?
(A) 16, 8
(B) 16, 4
(C) 4, 16
(D) None of the above
Please let me know the answer as soon as possible.
Reply awaited.
Click here to see answer by reviewermath(1029) |
Question 638221: Using Binomial Distribution and with solution please...........
Suppose sixty-five percent of the freshmen entering MSU-IIT will graduate. If a random sample of 4 freshmen are selected, what is the probability that
a. exactly 1 will graduate?
b. at most 1 will graduate?
c. none will graduate?
d. at least one will not graduate.
Click here to see answer by reviewermath(1029) |
Question 638257: A basketball player has a history of making 80% of the foul shots taken during the games. What is the probability that one of the next five foul shots he
a. makes three missed shots?
b. makes at least 3 shots?
c. makes at most 2 shots?
Click here to see answer by stanbon(75887) |
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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 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