a. Determine the critical value(s). The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic, t-. (Round to two decimal places as needed.) What conclusion should be drawn? Choose the correct answer below. O A. Do not reject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from u= 50. O B. Do not reject the null hypothesis. The data do not provide sufficient evidence to conclude that the mean differs from u= 50. OC. Reject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from p= 50. O D. Reject the null hypothesis. The data do not provide sufficient evidence to conclude that the mean differs from p= 50. b. Use technology to determine the p-value for this test. What is the p-value? p-value = (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Question

Consider the hypotheses below.

H0​: μ=50

H1​: μ≠50

Given that x=57​, s=12​, n=30​, and α=0.05​, answer the questions below.

a. Determine the critical value(s).
The critical value(s) is(are)
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
Determine the test statistic, t-.
(Round to two decimal places as needed.)
What conclusion should be drawn? Choose the correct answer below.
O A. Do not reject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from u= 50.
O B. Do not reject the null hypothesis. The data do not provide sufficient evidence to conclude that the mean differs from u= 50.
OC. Reject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from p= 50.
O D. Reject the null hypothesis. The data do not provide sufficient evidence to conclude that the mean differs from p= 50.
b. Use technology to determine the p-value for this test. What is the p-value?
p-value =
(Round to three decimal places as needed.)
Transcribed Image Text:a. Determine the critical value(s). The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic, t-. (Round to two decimal places as needed.) What conclusion should be drawn? Choose the correct answer below. O A. Do not reject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from u= 50. O B. Do not reject the null hypothesis. The data do not provide sufficient evidence to conclude that the mean differs from u= 50. OC. Reject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from p= 50. O D. Reject the null hypothesis. The data do not provide sufficient evidence to conclude that the mean differs from p= 50. b. Use technology to determine the p-value for this test. What is the p-value? p-value = (Round to three decimal places as needed.)
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