Consider the following hypothesis test. Ho: # 12 Ha: #> 12 A sample of 25 provided a sample mean - 14 and a sample standard deviations - 4.27. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) (b) Use the t distribution table to compute a range for the p-value. p-value> 0.200 0.100 < p-value < 0.200 0.050

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Consider the following hypothesis test.
Ho: wS 12
Hai p> 12
A sample of 25 provided a sample mean x 14 and a sample standard deviation s-4.27.
(a) Compute the value of the test statistic. (Round your answer to three decimal places.)
(b) Use the t distribution table to compute a range for the p-value.
p-value > 0.200
0.100 < p-value < 0.200
0.050 < p-value < 0.100
o 0.025 < p-value < 0.050
0.010 < p-value < 0.025
p-value < 0.010
(c) At e- 0.05, what is your conclusion?
Do not reject Ho. There is sufficient evidence to conclude that > 12.
Do not reject Ho. There is insufficient evidence to conclude that w> 12.
Reject Ho. There is insuficient evidence to conclude that w> 12.
Reject Ho. There is sufficient evidence to conclude that w > 12.
(d) What is the rejection rule using the critical value? (If the test is one-tailed, enter NONE for the unused tail, Round your answer to three decimal places.)
test statistic s
test statistic 2
What is your conclusion?
Do not reject Ho. There is sufficient evidence to conclude that u> 12.
Do not reject Hg. There is insufficient evidence to conclude that > 12:
Reject Ho There is insufficlent evidence to condude that > 12.
Reject Ho. There is sufficient evidence to conclude that > 12.
Transcribed Image Text:Consider the following hypothesis test. Ho: wS 12 Hai p> 12 A sample of 25 provided a sample mean x 14 and a sample standard deviation s-4.27. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) (b) Use the t distribution table to compute a range for the p-value. p-value > 0.200 0.100 < p-value < 0.200 0.050 < p-value < 0.100 o 0.025 < p-value < 0.050 0.010 < p-value < 0.025 p-value < 0.010 (c) At e- 0.05, what is your conclusion? Do not reject Ho. There is sufficient evidence to conclude that > 12. Do not reject Ho. There is insufficient evidence to conclude that w> 12. Reject Ho. There is insuficient evidence to conclude that w> 12. Reject Ho. There is sufficient evidence to conclude that w > 12. (d) What is the rejection rule using the critical value? (If the test is one-tailed, enter NONE for the unused tail, Round your answer to three decimal places.) test statistic s test statistic 2 What is your conclusion? Do not reject Ho. There is sufficient evidence to conclude that u> 12. Do not reject Hg. There is insufficient evidence to conclude that > 12: Reject Ho There is insufficlent evidence to condude that > 12. Reject Ho. There is sufficient evidence to conclude that > 12.
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