Assume that you have a sample of n1= 7,with the sample mean X1= 41, and a sample standard deviation of S1= 7, and you have an independent sample of n2= 5 from another population with a sample mean of X2= 33 and the sample standard deviation S2= 8. Assuming the population variances are equal, at the 0.01 level of significance, is here evidence that H1:μ1>μ2?Part 1a. Determine the hypotheses. Choose the correct answer below.A. H0:μ1≠μ2H1:μ1=μ2B.H0:μ1≤μ2H1:μ1>μ2C.H0:μ1>μ2H1:μ1≤μ2D.H0:μ1=μ2H1:μ1≠μ2 b. Compute the pooled variance. (Round to three decimal places to the right of the decimal point as needed.)A.S2p = [(7−1)•(7)]2+([5−1)•(8)]2(7−1)+(5−1) = 278810 = 278.8, using formula (10.1)B.S2p = (7−1)•(7)+(5−1)•(8)(7−1)+(5−1) = 7410 = 7.4, using formula (10.1)C.S2p = (7−1)•(7)2+(5−1)•(8)2(7−1)+(5−1) = 55010 = 55, using formula (10.1)D.p = (41 + 33)(7 + 5) =7412= 6.167, using formula (10.5) c. Then using the pooled variance, compute the test statistic. (Round to two decimal places to the right of the decimal point as needed.)A.tSTAT = (33 − 41)278.8 • 15+17 = −895.589= −0.82, using formula (10.1) B.tSTAT = (41 − 33)7.4 • 17+15 = 82.537= +5.02, using formula (10.1) C.tSTAT = (41 − 33)55 • 17+15 = 818.857= +1.84, using formula (10.1) D.ZSTAT = (41 − 33)[6.167 • (1− 6.167)] 17+15 = 8−10.925= +2.42, using formula (10.5) d. Determine the p-value. (Round to three decimal places as needed.)

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Question

Assume that you have a sample of n1= 7,with the sample mean X1= 41, and a sample standard deviation of S1= 7, and you have an independent sample of n2= 5 from another population with a sample mean of X2= 33 and the sample standard deviation S2= 8. Assuming the population variances are equal, at the 0.01 level of significance, is here evidence that H1:μ1>μ2?

Part 1

a. Determine the hypotheses. Choose the correct answer below.

A. H0:μ1≠μ2H1:μ1=μ2

B.H0:μ1≤μ2H1:μ1>μ2

C.H0:μ1>μ2H1:μ1≤μ2

D.H0:μ1=μ2H1:μ1≠μ2

b. Compute the pooled variance. (Round to three decimal places to the right of the decimal point as needed.)

S2p = [(7−1)•(7)]2+([5−1)•(8)]2(7−1)+(5−1) = 278810 = 278.8, using formula (10.1)

S2p = (7−1)•(7)+(5−1)•(8)(7−1)+(5−1) = 7410 = 7.4, using formula (10.1)

S2p = (7−1)•(7)2+(5−1)•(8)2(7−1)+(5−1) = 55010 = 55, using formula (10.1)

p = (41 + 33)(7 + 5) =7412= 6.167, using formula (10.5)

c. Then using the pooled variance, compute the test statistic. (Round to two decimal places to the right of the decimal point as needed.)