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FA25_QTM_100_3 Final Exam- Requires Respondus LockDown Browser

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A student researcher is interested in knowing whether or not the first-year college students and seniors spend the same amount of time studying in addition to doing the homework each week. To investigate this, random samples were drawn from both the first-years and the seniors from a college: the sample mean for the first-year students is 3.5 hours, and the sample mean for the seniors is 4.2 hours. A hypothesis test was conducted with ๐ป 0 : ๐œ‡ ๐‘“ ๐‘– ๐‘Ÿ ๐‘  ๐‘ก โˆ’ ๐‘ฆ ๐‘’ ๐‘Ž ๐‘Ÿ โˆ’ ๐œ‡ ๐‘  ๐‘’ ๐‘› ๐‘– ๐‘œ ๐‘Ÿ = 0 , ๐ป ๐‘Ž : ๐œ‡ ๐‘“ ๐‘– ๐‘Ÿ ๐‘  ๐‘ก โˆ’ ๐‘ฆ ๐‘’ ๐‘Ž ๐‘Ÿ โˆ’ ๐œ‡ ๐‘  ๐‘’ ๐‘› ๐‘– ๐‘œ ๐‘Ÿ โ‰  0 , and yielded a p-value of 0.04. Given the result, which is the appropriate decision against the null hypothesis at the 0.05 significance level? Also, which of the following is the best conclusion of this hypothesis test?

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A.We reject the null hypothesis; our data suggest that, on average, first-year students spend a significantly fewer number of hours studying than seniors do.
B.We fail to reject the null hypothesis; our data suggest that, on average, first-year students spend a significantly more number of hours studying than seniors do.
C.We reject the null hypothesis; our data suggest that, on average, first-year students spend a significantly more number of hours studying than seniors do.
D.We fail to reject the null hypothesis; our data suggest that, on average, first-year students spend a significantly different number of hours studying than seniors do.
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The research question compares average study hours between first-year students and seniors, using a two-sample hypothesis test with Ha: ฮผ_first โˆ’ ฮผ_senior โ‰  0. The reported sample means are 3.5 hours (first-year) and 4.2 hours (seniors), and the p-value is 0.04. This p-value is below the 0.05 significance level, so we would reject th......Login to view full explanation

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Each year the US Environmental Protection Agency (EPA) releases fuel economy data on cars manufactured in that year. Below are summary statistics on fuel efficiency (in miles/gallon) from random samples of small cars with manual and automatic transmissions. Which of the following statements is true if we were to decide whether or not these data provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage? Assume that conditions for inference are satisfied. Automatic Manual Mean 32.4 28.8 Standard Deviation 2.12 5.75 n 27 26

A two-sided independent samples t-test withย n1=33 and n2=38 yielded a test statistic of 2.03. Assuming unequal variances, which of the following is the correct p-value for this hypothesis test? Be sure to find the p-value using the t-distribution probability table.

A researcher was interested in comparing the response times of two different cab companies. Companies A and B were each called at 50 randomly selected times.ย  The calls to company A were made independently of the calls to company B. The response times for each call were recorded. The summary statistics were as follows: Use a 0.01 significance level to test the claim thatย  the mean response time for company A is the same asย  the mean response time for company B. ย Based on the sample standard deviations, it seems safe to assume that the variances are the same. The data is listed below. ย  Complete the following analysis. 1. This is a [ Select ] right two left -tailed test. 2. The test statistic is equal to t=2.248 . 3. The P-value is equal to [ Select ] 0.08211405 0.02681 0.09728 . 4. [ Select ] Fail to reject Reject the null hypothesis. 5. At the 1% significance level, it [ Select ] appears that does not appear that the mean response time for company A is different from the mean response time for Company B. ย  A - 6.424 , 7.768 , 6.088 , 10.12 , 7.936 , 6.088 , 8.272 , 8.608 , 8.44 , 6.928 , 9.952 , 8.104 , 6.424 , 3.736 , 9.28 , 7.432 , 7.432 , 8.944 , 8.776 , 8.44 , 8.944 , 8.776 , 7.6 , 4.072 , 8.44 , 7.264 , 7.096 , 4.912 , 6.592 , 8.104 , 9.784 , 7.264 , 8.104 , 7.264 , 5.08 , 6.76 , 6.76 , 7.264 , 9.28 , 8.776 , 7.096 , 6.928 , 8.608 , 8.44 , 6.256 , 6.256 , 8.104 , 8.776 , 7.264 , 8.944 ย  B - 7.376 , 5.625 , 7.2009 , 4.7495 , 9.127 , 10.1776 , 5.9752 , 4.9246 , 7.7262 , 6.5005 , 10.878 , 6.6756 , 7.9013 , 6.6756 , 5.4499 , 7.0258 , 3.5238 , 9.3021 , 7.0258 , 10.5278 , 7.5511 , 5.4499 , 7.7262 , 5.0997 , 4.3993 , 7.2009 , 5.9752 , 6.6756 , 6.8507 , 5.625 , 5.625 , 6.5005 , 8.7768 , 4.0491 , 7.7262 , 7.2009 , 8.6017 , 6.1503 , 7.376 , 7.2009 , 5.8001 , 8.7768 , 8.7768 , 7.9013 , 9.4772 , 7.7262 , 4.3993 , 5.625 , 4.5744 , 5.8001 ย  ย  c08.p084.q012 ย  ย 

A researcher wishes to determine whether the blood pressure of vegetariansย  is, on average, lower than the blood pressure of nonvegetarians. Independent simple random samples of 85 vegetariansย  and 75 nonvegetarians were taken. Use a significance level of 0.05 to test the claim that the mean systolic blood pressure of vegetarians is lower than the mean systolic blood pressure of nonvegetarians. Do not assume that the standard deviations are the same. The data is listed below. ย  Complete the following analysis. 1. This is a [ Select ] right left two -tailed test. 2. The test statistic is equal to t= [ Select ] -2.365 -0.987 -1.543 1.454 . 3. The P-value is equal to [ Select ] 0.0995 0.0096 0.038585 . 4. [ Select ] Fail to reject Reject the null hypothesis. 5.ย At the 5% significance level, there is ย is an indication that the mean systolic blood pressure of vegetarians is lower than the mean systolic blood pressure of nonvegetarians. ย  ย  V - 94.2236 , 128.4344 , 85.6709 , 188.3033 , 132.6914 , 85.6709 , 141.2441 , 149.7968 , 145.5398 , 107.0333 , 184.0076 , 136.9871 , 94.2236 , 25.802 , 166.9022 , 119.8817 , 119.8817 , 158.3495 , 154.0925 , 145.5398 , 158.3495 , 154.0925 , 124.1387 , 34.3547 , 145.5398 , 115.586 , 111.329 , 55.7171 , 98.4806 , 136.9871 , 179.7506 , 115.586 , 136.9871 , 115.586 , 60.0128 , 102.7763 , 102.7763 , 115.586 , 166.9022 , 154.0925 , 111.329 , 107.0333 , 149.7968 , 145.5398 , 89.9279 , 89.9279 , 136.9871 , 154.0925 , 115.586 , 158.3495 , 136.9871 , 94.2236 , 132.6914 , 72.8225 , 179.7506 , 205.4087 , 102.7763 , 77.1182 , 145.5398 , 115.586 , 222.5141 , 119.8817 , 149.7968 , 119.8817 , 89.9279 , 128.4344 , 42.9074 , 184.0076 , 128.4344 , 213.9614 , 141.2441 , 89.9279 , 145.5398 , 81.3752 , 64.2698 , 132.6914 , 102.7763 , 119.8817 , 124.1387 , 94.2236 , 94.2236 , 115.586 , 171.1979 , 55.7171 , 145.5398 ย  NV - 155.4384 , 189.268 , 130.076 , 159.672 , 155.4384 , 121.6088 , 193.4624 , 193.4624 , 172.3336 , 210.3968 , 168.1 , 87.8184 , 117.4144 , 92.052 , 121.6088 , 117.4144 , 142.7768 , 104.7136 , 151.2048 , 113.1808 , 218.8248 , 172.3336 , 180.8008 , 159.672 , 214.6304 , 117.4144 , 121.6088 , 201.9296 , 113.1808 , 134.3096 , 125.8424 , 130.076 , 130.076 , 163.9056 , 134.3096 , 121.6088 , 197.696 , 134.3096 , 134.3096 , 138.5432 , 172.3336 , 138.5432 , 142.7768 , 113.1808 , 130.076 , 146.9712 , 117.4144 , 163.9056 , 79.3512 , 155.4384 , 79.3512 , 130.076 , 121.6088 , 113.1808 , 138.5432 , 62.456 , 193.4624 , 70.884 , 121.6088 , 96.2464 , 108.9472 , 231.5256 , 142.7768 , 87.8184 , 75.1176 , 163.9056 , 142.7768 , 130.076 , 104.7136 , 79.3512 , 96.2464 , 185.0344 , 117.4144 , 83.5848 , 223.0584 ย  c08.p084.q010 ย  ย 

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