Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Refer to the accompanying data set. Use a 0.01 significance level to test the claim that women and men have the same mean diastolic blood pressure. Let μ1 be the mean diastolic blood pressure for women and let μ2 be the mean diastolic blood pressure for men. What are the null and alternative hypotheses? A. H0: μ1<μ2 H1: μ1=μ2 B. H0: μ1=μ2 H1: μ1>μ2 C. H0: μ1≠μ2 H1: μ1=μ2 D. H0: μ1=μ2 H1: μ1≠μ2 Calculate the test statistic. t=_____ (Round to two decimal places as needed.) Find the P-value. P-value=_____ (Round to three decimal places as needed.) Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. ▼ Fail to reject Reject H0. There ▼ is not is sufficient evidence to warrant rejection of the claim that women and men have the same mean diastolic blood pressure.
Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Refer to the accompanying data set. Use a 0.01 significance level to test the claim that women and men have the same mean diastolic blood pressure. Let μ1 be the mean diastolic blood pressure for women and let μ2 be the mean diastolic blood pressure for men. What are the null and alternative hypotheses? A. H0: μ1<μ2 H1: μ1=μ2 B. H0: μ1=μ2 H1: μ1>μ2 C. H0: μ1≠μ2 H1: μ1=μ2 D. H0: μ1=μ2 H1: μ1≠μ2 Calculate the test statistic. t=_____ (Round to two decimal places as needed.) Find the P-value. P-value=_____ (Round to three decimal places as needed.) Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. ▼ Fail to reject Reject H0. There ▼ is not is sufficient evidence to warrant rejection of the claim that women and men have the same mean diastolic blood pressure.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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Question
Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal.
Refer to the accompanying data set. Use a 0.01 significance level to test the claim that women and men have the same mean diastolic blood pressure.
Let μ1 be the mean diastolic blood pressure for women and let
μ2 be the mean diastolic blood pressure for men. What are the null and alternative hypotheses?
H0:
μ1<μ2
H1:
μ1=μ2
H0:
μ1=μ2
H1:
μ1>μ2
H0:
μ1≠μ2
H1:
μ1=μ2
H0:
μ1=μ2
H1:
μ1≠μ2
Calculate the test statistic.
t=_____
(Round to two decimal places as needed.)Find the P-value.
P-value=_____
(Round to three decimal places as needed.)Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim.
▼
Fail to reject
Reject
H0.
There
▼
is not
is
sufficient evidence to warrant rejection of the claim that women and men have the same mean diastolic blood pressure.
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