Provided below are summary statistics for independent simple random samples from two populations. Use the nonpooled t-test and the nonpooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. x1=8, s1=5, n1=25, x2=16, s2=7 n2=25 a. Two-tailed test, α=0.10 b. 90% confidence interval What are the hypotheses for the t-test? A. H0: μ1=μ2 Ha: μ1>μ2 B. H0: μ1=μ2 Ha: μ1≠μ2 C. H0: μ1=μ2 Ha: μ1<μ2 D. H0: μ1≥μ2 Ha: μ1<μ2 Find the test statistic. t=_______ (Round to three decimal places as needed.) Find the critical values. ±tα/2=± (Round to three decimal places as needed.) What is the conclusion of the hypothesis test? A. Do not reject H0. There is insufficient evidence that the two means are different. B. Reject H0. There is sufficient evidence that the two means are different. C. Reject H0. There is insufficient evidence that the two means are different. D. Do not reject H0. There is sufficient evidence that the two means are different. b. The 90% confidence interval is from _ to _______. (Round to three decimal places as needed.)

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Description: Provided below are summary statistics for independent simple random samples from two populations. Use the nonpooled t-test and the nonpooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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Provided below are summary statistics for independent simple random samples from two populations. Use the nonpooled t-test and the nonpooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval.

x1=8,

s1=5,

n1=25,

x2=16,

s2=7

n2=25

a. Two-tailed test, α=0.10
b. 90% confidence interval

What are the hypotheses for the t-test?

A. H0: μ1=μ2

Ha: μ1>μ2

B. H0: μ1=μ2

Ha: μ1≠μ2

C. H0: μ1=μ2

Ha: μ1<μ2

H0: μ1≥μ2

Ha: μ1<μ2

Find the test statistic.

t=_________________

(Round to three decimal places as needed.)

Find the critical values.

±tα/2=±________________

(Round to three decimal places as needed.)

What is the conclusion of the hypothesis test?

A. Do not reject H0. There is insufficient evidence that the two means are different.

B. Reject H0. There is sufficient evidence that the two means are different.

C. Reject H0. There is insufficient evidence that the two means are different.

D. Do not reject H0. There is sufficient evidence that the two means are different.

b. The 90% confidence interval is from ___________ to ___________.

(Round to three decimal places as needed.)

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