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Treatment Placeb A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. In 31 39 2.63 0.95 2.33 0.63 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? O A. Ho: H1 H2 H: H1

Treatment Placeb A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. In 31 39 2.63 0.95 2.33 0.63 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? O A. Ho: H1 H2 H: H1

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Treatment Placebo H1 H2 A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. 31 39 2.33 2.63 0.63 0.95 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? A. Ho: H1 # H2 H1: H1 <H2 O B. Ho: H1 = H2 H1: H1> H2 O C. Ho: H1 < H2 H1: 412H2 D. Ho: H1 = H2 H1: 41 # H2 The test statistic, t, is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. A. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. O B. Fail to reject the null hypothesis. There is not sufficient evidence warrant rejection of the claim that the two samples are from populations with the same mean. O C. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. O D. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.
Transcribed Image Text:Treatment Placebo H1 H2 A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. 31 39 2.33 2.63 0.63 0.95 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? A. Ho: H1 # H2 H1: H1 <H2 O B. Ho: H1 = H2 H1: H1> H2 O C. Ho: H1 < H2 H1: 412H2 D. Ho: H1 = H2 H1: 41 # H2 The test statistic, t, is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. A. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. O B. Fail to reject the null hypothesis. There is not sufficient evidence warrant rejection of the claim that the two samples are from populations with the same mean. O C. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. O D. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.
b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. |<H1-H2< (Round to three decimal places as needed.) Click to select vOur ans werls)
Transcribed Image Text:b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. |<H1-H2< (Round to three decimal places as needed.) Click to select vOur ans werls)
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