Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 178520: High levels of cockpit noise in an aircraft can damage the hearing of pilots who are exposed to this hazard for many hours. A Boeing 727 co-pilot collected 61 noise observations using a handheld sound meter. Noise level is defined as “Low” (under 88 decibels), “Medium” (88 to 91 decibels), or “High” (92 decibels or more). There are three flight phases (Climb, Cruise, and Descent). Research question: At α = .05, is the cockpit noise level independent of flight phase? (Data are from Capt. Robert E. Hartl, retired.) Noise
Noise Level Climb Cruise Descent Row Total
Low 6 2 6 14
Medium 18 3 8 29
High 1 3 14 18
Col Total 25 8 28 61
Click here to see answer by stanbon(75887)  |
Question 178519: A student team examined parked cars in four different suburban shopping malls. One hundred vehicles were examined in each location. Research question: At α = .05, does vehicle type vary by mall location? (Data are from a project by MBA students Steve Bennett, Alicia Morais, Steve Olson, and Greg Corda.) Vehic
Vehicle Type Somerset Oakland Great Lakes Jamestown Row Total
Car 44 49 36 64 193
Minivan 21 15 18 13 67
Full-sized Van 2 3 3 2 10
SUV 19 27 26 12 84
Truck 14 6 17 9 46
Col Total 100 100 100 100 400
Click here to see answer by stanbon(75887) |
Question 178343: High levels of cockpit noise in an aircraft can damage the hearing of pilots who are exposed to this hazard for many hours. A Boeing 727 co-pilot collected 61 noise observations using a handheld sound meter. Noise level is defined as “Low” (under 88 decibels), “Medium” (88 to 91 decibels), or “High” (92 decibels or more). There are three flight phases (Climb, Cruise, and Descent). Research question: At α = .05, is the cockpit noise level independent of flight phase? (Data are from Capt. Robert E. Hartl, retired.) Noise
Noise Level Climb Cruise Descent Row Total
Low 6 2 6 14
Medium 18 3 8 29
High 1 3 14 18
Col Total 25 8 28 61
Click here to see answer by stanbon(75887) |
Question 177676: Sixty-four students in an introductory college economics class were asked how many credits they
had earned in college, and how certain they were about their choice of major. Research question:
At α = .01, is the degree of certainty independent of credits earned?
Earned Very Uncertain Somewhat Certain Very Certain Row Total
0–9 12 8 3 23
10–59 8 4 10 22
60 or more 1 7 11 19
Col Total 21 19 24 64
Click here to see answer by stanbon(75887) |
Question 179501: Is the mean salary of accountants who have reached partnership status higher than that for accountants who are not partners? A sample of 15 accountants who have the partnership status showed a mean salary of $82,000 with a standard deviation of $5,500. A sample of 12 $6,500. At the 0.05 significance level can we conclude that accountants at the partnership level earn larger salaries?
a. State the null and alternative hypotheses.
Ho: H1:
b. State the decision rule.
c.Compute the value of the test statistic
d. Compute the p-value.
e. What is your decision reguarding the null hypotheses?
Again there is not a book just this practice question.
Click here to see answer by stanbon(75887) |
Question 176639: In a bumper test, three types of autos were deliberately crashed into a barrier at 5mph and the resulting damage in dollars was estimated. Five test vehicles of each type were crashed with results below showing. Are the mean crash DAMAGES THE SAME FOR THESE THREE VEHICLES ?
CRASH DAMAGES:
GOLIATH vARMINT WEASEL
1,600 1,290 1,090
760 1,400 2,100
880 1,390 1,830
1,950 1,850 1,250
1,220 950 1,920
Click here to see answer by stanbon(75887) |
Question 179573: The following data are the numbers of local channels available in 19 cities.
11,32,32,19,5,38,17,12,37,34,16,6,11,27,7,21,15,22,18
construct a box-and-whisker plot for the data
Click here to see answer by Mathtut(3670) |
Question 176058: A sample of 25 concession stand purchases at the October 22 matinee of Bride of Chucky showed a mean purchase of $5.29 with a standard deviation of $3.02. For the October 26 evening showing of the same movie, for a sample of 25 purchases the mean was $5.12 with a standard deviation of $2.14. The means appear to be very close, but not the variances. At α = .05, is there a difference in variances? Show all steps clearly, including an illustration of the decision rule. (Data are from a project by statistics students Kim Dyer, Amy Pease, and Lyndsey Smith.)
Click here to see answer by stanbon(75887) |
Question 172469: a 10 question multiple choice exam is given, and each questions has 5 possible answers. Pascal Gonyo takes this exam and guesses at every question. use the binomial probability formula to determine the probability (to 5 decimal places) that
a. he gets exactly 2 questions correct
b. he gets no questions correct
c. he gets at least one question correct ( use information from part b)to answer this part
d. he gets at least 9 questions correct
e. without using the binomial probability formula, determine the probability that he gets exactly 2 questions correct
f. compare your answers to parts a and e. if they are not the same exaplain why
Click here to see answer by stanbon(75887) |
Question 179649: In 1992, the FAA conducted 86,991 pre-employment drug tests on job applicants who were to be engaged in safety and security-related jobs, and found that 1,143 were positive. (a) Construct a 95 percent confidence interval for the population proportion of positive drug tests. (b) Why is the normality assumption not a problem, despite the very small value of p?
Click here to see answer by stanbon(75887) |
Question 179654: Below are numbers of hours that a sample of 19ecent college graduates reported working last week.
42,63,43,44,39,64,51,66,58,52,53,41,50,61,45,65,54,61,60
construct a box-and-whisker plot for the data.
Click here to see answer by stanbon(75887) |
Question 179690: Please you help me solve these problems.
How do you know?
Can you write everything that you solve its?
6.) What is the probability that a random 2-digit number (00-99) does not end in 5?
8.) A clerk has 4 different letters that need to go in 4 different envelopes. What is the probability that all 4 letters are placed in the correct envelopes?
Please answer me as soon as you could, Thank you.
Click here to see answer by stanbon(75887) |
Question 179742: 10.24 - 10.24 Below is a random sample of shoe sizes for 12 mothers and their daughters. (a) At α = .01, does this sample show that women’s shoe sizes have increased? State your hypotheses and show all steps clearly. (b) Is the decision close? (c) Are you convinced? (d) Why might shoe sizes change
over time? (See The Wall Street Journal, July 17, 2004.) Shoe Size 2
1 2 3 4 5 6 7 8 9 10 11 12
Daughter 8 8 7.5 8 9 9 8.5 9 9 8 7 8
Mother 7 7 7.5 8 8.5 8.5 7.5 7.5 6 8 7 7
Click here to see answer by stanbon(75887) |
Question 179648: A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were
3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477
(a) Construct a 90 percent confidence interval for the true mean weight. (b) What sample size
would be necessary to estimate the true weight with an error of ± 0.03 grams with 90 percent confidence?
(c) Discuss the factors which might cause variation in the weight of Tootsie Rolls during
manufacture.
Click here to see answer by stanbon(75887) |
Question 179819: Please you help me solve these problems.
How do you know, Can you write everything that you solve its?
1.) The table below shows the results of pulling one marble from a bag of marbles, recording its color, and replacing it in the bag.
-------------------------
Marble Color / Times Pulled(#)
--------------------------
Yellow..................>5
--------------------------
Red.......................>17
--------------------------
Green.....................>30
--------------------------
Find the experimental probability of each event.
1.1) Choosing a yellow marble
1.2) NOT choosing a red marble
1.3) Choosing either a red or a green marble
1.4) Which color marble is probably present in greatest number in the bag?
2.) Clarice has 7 new CDs; 3 are classical music and the rest are pop music. If she randomly grabs 3 CDs to listen to in the car on her way to school, what is the probability that she will select only classical music?
3.) Tom has a dollar's worth of dimes and dollar's worth of nickels in his pocket
a. What is the probability he will randomly select a nickel from his pocket?
b. What is the probability he will randomly select a dime from his pocket?
4.)Frank is playing darts. The results of his throws are shown in the table below. Assume that his results continue to follow this trend.
---------------------------
. Color Hit / Number of Throws .
---------------------------
Blue ....................>12
---------------------------
Red........................>5
---------------------------
White.......................>2
---------------------------
Find the experimental probability of each event.
4.1 Frank's next throw will hit white.
4.2 Frank's next throw will hit blue.
4.3 Frank's next throw will hit either red or white.
4.4 Frank's next throw will NOT hit red.
Please answer me as soon as you could, Thank you for your help.
Click here to see answer by stanbon(75887) |
Question 179831: Please show me how to do these problems and please explains.
1.) A farmer has four sheepdogs and three beagles. If he randomly chooses a dog to accompany him on a walk, what is the probability of him taking a walk with sheepdog?
2.) Gordon spins a spinner with equal-sized sections numbered 1-6. In one spin, what is the likelihood that the spinner will stop on a 1 or a 5?
3.) When two number cubes labeled 1-6 are rolled, what is the probability that the result will be two 4's ?
4.) Joanne is guessing which day in November is Bess's birthday. Joanne know that Bess's birthday does not fall on an odd-numbered day. What is the probability that Joanne will guess the correct day on her first try?
Thank you for your help.
Click here to see answer by stanbon(75887) |
Question 179859: A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations.
(b) Calculate a p-value and interpret it.
Click here to see answer by stanbon(75887) |
Question 179875: Sixty-four students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Research question: At α = .01, is the degree of certainty independent of credits earned? Certainty
Credits Earned Very Uncertain Somewhat Certain Very Certain Row Total
0–9 12 8 3 23
10–59 8 4 10 22
60 or more 1 7 11 19
Col Total 21 19 24 64
Click here to see answer by stanbon(75887) |
Question 179923: An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events:
Event A : The sum is greater than 6 .
Event B : The sum is an odd number.
Write your answers as exact fractions.
Click here to see answer by stanbon(75887) |
Question 179944: Survey data indicate that 59% of customers at MegaHit video rental stores subscribe to premium movie channels through their cable television provider. The data also indicate that 39% of MegaHit customers own a DVD player, while 63% of MegaHit customers subscribe to premium movie channels or own a DVD player (or both). What is the probability that a randomly selected MegaHit customer both owns a DVD player and subscribes to premium movie channels?
Click here to see answer by kev82(151) |
Question 179949: A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour is 0.2. What is probability that (a) both will fail? (b) Neither will fail? (c ) One or the other will fail? Show all steps carefully.
Click here to see answer by stanbon(75887) |
Question 180043: Suppose that 53% of all adults in a certain community are obese and that 46% suffer from diabetes. If 26% of the adults in this community are both obese and suffering from diabetes, what is the probability that a randomly chosen adult in this community is obese or suffers from diabetes (or both)?
Click here to see answer by stanbon(75887) |
Question 179997: Can you solve these problem? and can you explain how to do?
1.) How many possible outcomes are there from tossing two number cubes labeled 1-6?
2.) Describe the sample space for a spinner with four equal sections of blue, red, green, and yellow.
3.) How likely is it that an outcome with a probability of 1 with occur?
4.) How likely is it that an outcome with a probability of 0 with occur?
Please answer me as soon as you could. Thank you for your help.
Click here to see answer by stanbon(75887) |
Question 180315: An auditor reviewed 25 oral surgery insurance claims from a particular surgical office, determining that the mean out-of-pocket patient billing above the reimbursed amount was $275.66 with a standard deviation of $78.11. (a) At the 5 percent level of significance, does this sample prove a violation of the guideline that the average patient should pay no more than $250 out-of-pocket?
State your hypotheses and decision rule. (b) Is this a close decision?
Click here to see answer by stanbon(75887) |
Question 180363: Ron has a 53% chance of receiving an A grade in geology, a 43% chance of receiving an A grade in mathematics, and a 76% chance of receiving an A grade in geology or mathematics (or both). Find the probability that he receives A grades in both geology and mathematics.
Click here to see answer by stanbon(75887) |
Question 180477: The manufacturer of Winston Tire Company claims its new tires last for an average 40,000 miles. An independent testing agency road-tested 20 tires to substantiate the claim made by the Winston Tire Company. The sample mean was 39,000 miles with a sample standard deviation of 5,000 miles. Using the .05 level of significance and the five-step hypothesis testing procedure, determine if there is reason to reject the claim made by Winston Tire Company and conclude that tires last for less than 40,000 miles.
My question: Am I on the right track and/or if not, what are the steps and formulas to use to solve for this?
I came up with:
H0: (Mu) = 40,000
H1: (Mu) not equal to 40,000
Z = 39,000 – 40,000/5,000/ sqrt 20 = - 4
I would say:
Reject the null in favor of the alternative, since – 4 falls in the rejection region.
Thank you
Click here to see answer by stanbon(75887) |
Question 180480: The data in the table that follows was collected by a large car manufacturer concerning a new prototype car called the CIELO. Thirty carefully selected respondents were shown the car and fully briefed about its capabilities. Here is the data, which includes age (intervally scaled), sex (nominal), social status (interval scale ranging from 10, low status, to 30, high status), attitude toward CIELO (interval scale ranging from 6, negative attitude, to 30, positive attitude) and intention to purchase CIELO (nominal, yes or no).
Is there any difference in male and female attitude scores toward the CIELO? Is there anything unusual about this data? Please note that we have to setup a hypothesis test of the difference in two population (female respondents and male respondents) means (attitude scores).
RESPONDENT #
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
AGE
20
19
34
23
42
55
24
26
35
41
43
51
56
62
43
51
28
19
24
26
28
35
38
23
42
41
30
29
19
26
SEX
M
F
M
M
M
F
F
M
F
M
F
M
M
F
F
F
M
M
M
F
F
M
F
M
F
F
F
M
M
F
SOCIAL STATUS
15.6
17.5
28.2
24.6
16.5
12.2
12.5
29.6
27.6
23.2
21.2
20.2
19.4
18.6
10.2
14.3
12.6
14.8
29.6
26.5
23.2
17.9
19.9
20.1
18.6
18.6
24.6
26.6
14.5
12.9
ATTITUDE SCORE
16
15
14
6
28
24
19
14
23
16
26
28
14
12
11
10
22
24
19
18
20
23
23
25
17
17
16
13
22
21
INTENTION TO PURCHASE
Y
Y
N
N
Y
N
Y
N
N
N
Y
N
N
Y
Y
N
Y
N
N
Y
N
N
N
Y
N
N
Y
N
Y
N
My question: Am I on the right track and/or if not can you please show me how to set up the hypothesis test and solve for it?
I got this:
Female: 272/15 = 18.133
Male: 284/15 = 18.933
H0: (Mu) less than or equal to 18
H1: (Mu) greater than 18
Small Sample
18.133 – 18.933/Sqrt 30(squared)*(1 over 15 + 1 over 15) = (0.8) / 900 * 2 over 15 = 120
(-0.8)/Sqrt 120 = (-0.8) / 10.954 = 0.073
Large Sample
18.133 – 18.933/Sqrt 30(squared) / 30(squared)over 15 / 30 (squared) over 15
= (0.8)/900 over 15 + 900 over 15
= (0.8)/ 60+60 = (0.8) / 120 = 0.006
Q: I am not sure if these are the right samples to use or if I should use a paired “t” sample? (below)
15
30 / sqrt (?)
Thank you
Click here to see answer by stanbon(75887) |
Question 180515: Suppose that 53% of the women who gave birth at a certain hospital last year were over 30 years old, and that 30% were unmarried. If 28% of the women were both unmarried and over 30, what is the probability that a woman who gave birth at the hospital was over 30 or unmarried (or both)?
Click here to see answer by stanbon(75887) |
Question 180539: Can you explain these problem?
1.) When text messaging on a telephone, pressing a 3 types D, E, F, or 3. Pressing a 7 types P, Q, R, S, or 7. How many messages are possible by pressing a 3, a 7, and then a 3?
11.) What is the probability that a random 2-digit number is a multiple of 7?
13.) A mother is making different lunches for each of her 3 children. If each child grabs a lunch bag at random, what is the probability that all 3 children will get the correct bag?
21.) Two number cubes are rolled--one blue and one yellow. Find the probability that the yellow cube is even, and the sum is 7. Explain why the events are dependent.
Please answer me as soon as you could. Thank you for your help.
Click here to see answer by stanbon(75887) |
Question 180536: A rainstorm in Portland, Oregon, wiped out the electricity in 7% of the households in the city. Suppose that a random sample of 50 Portland households is taken after the rainstorm.
A Estimate the number of households in the sample that lost electricity by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response.
B Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.
Click here to see answer by stanbon(75887) |
Question 180577: 1.)The blue cube show a multiple of 3, and the sum is 8.
>>>P(blue multiple of 3)=2/6=1/3
>>>P(sum is 8 | blue multiple of 3 ) =2/12=1/6
>>>P(blue multiple of 3 and sum is 8)=
P(blue multiple of 3)*P(sum is 8 | blue multiple of 3) = (1/3)*(1/6)=1/18
My question: Do you know how 2/6 and 2/12 came from?
Can you explain?
Please answer me as soon as you could.
Thank you for your help.
Click here to see answer by stanbon(75887) |
Question 180621: Not all visitors to a certain company's website are customers. In fact, the website administrator estimates that about 12% of all visitors to the website are looking for other websites. Assuming that this estimate is correct, find the probability that, in a random sample of 5 visitors to the website, exactly 4 actually are looking for the website.
Round your response to at least three decimal places.
Click here to see answer by stanbon(75887) |
Question 180619: I have found a solution already but I am still having a problem with (b) in the problem.
What formula do I use to find the answer.
To test the hypothesis that students who finish an exam first get better grades, Professor Hardtack
kept track of the order in which papers were handed in. The first 25 papers showed a mean score of
77.1 with a standard deviation of 19.6, while the last 24 papers handed in showed a mean score of
69.3 with a standard deviation of 24.9. Is this a significant difference at α = .05? (a) State the
hypotheses for a right-tailed test. (b) Obtain a test statistic and p-value assuming equal variances.
Interpret these results. (c) Is the difference in mean scores large enough to be important? (d) Is it reasonable
to assume equal variances? (e) Carry out a formal test for equal variances at α = .05, showing
all steps clearly.
Click here to see answer by stanbon(75887) |
Question 180108: Suppose that 48% of the women who gave birth at a certain hospital last year were over 30 years old, and that 46% were unmarried. If 65% of the women were over 30 or unmarried (or both), what is the probability that a woman who gave birth at the hospital was both unmarried and over 30 ?
Click here to see answer by stanbon(75887) |
Question 180823: Suppose that the New England Colonials baseball team is equally likely to win a game as not to win it. If 5 Colonials games are chosen at random, what is the probability that exactly 4 of those games are won by the Colonials?
Round your response to at least three decimal places.
Click here to see answer by stanbon(75887) |
Question 180837: A machine that manufactures automobile parts is estimated to produce defective parts 8% of the time. If this estimate is correct, and 10 parts produced by this machine are randomly selected, what is the probability that more than 1 turn out to be defective? Round your answer to four decimal places.
Click here to see answer by stanbon(75887) |
Question 180897: How can I proceed to solve this problem? Thank you.
In establishing warranties on HDTV sets, the manufacturer wants to set the limites so that few will need repair at manufacturer expense. On the other hand, the warranty period mst be long enough to make the purchase attractive to the buyer. For a new HDTV the mean number of months until repairs are needed is 36.84 with a standard deviation of 3.34 months. Where should the warranty limits be set so that only 10 percent of the HDTVs need repairs at the manufacturer's expensive?
Click here to see answer by user_dude2008(1862) |
Question 180889: A license plate is to consist of two letters followed by three digits. How many different license plates are possible if the first letter must be a vowel, and repetition of letters is not permitted, but repetition of digits is permitted?
Click here to see answer by edjones(8007)  |
|
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, 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