You may need to use the appropriate appendix table or technology to answer this question. The average length of time that workers at a certain company remain in their positions has historically been 39 months. Recently, the company has been working to increase the length of time that employees stay in their positions even further. In order to determine whether there has been an increase in the average length of time in the position, a sample of 64 employees was selected. The average length of time in the position in the sample was 45 months with a standard deviation of 16 months. Let a0.0s. (a) State the null and the alternative hypotheses (in months). (Enter te for as needed.) H (b) Compute the test statistic. (c) Using the p-value approach, test to determine whether onot the mean length of time in the postion for all employees at the company is oignificantly more than 39 months. Find the p-value. (Round your answer to four decimal places.) p-value State your concdusion Do not reject H There is sufficient evidence to suggest that the mean length of time in the position for all employees at the company is significantly more than 39 months Do not reject H There is insufficient evidence to suggest that the mean length of time in the position for al employees at the company is significantly more than 39 months CReject H There is sufficient evidence to suggest that the mean length of time in the postion for all employees at the company is significantly more than 39 months Reject H There is insufficient evidence to suggest that the mean length of time in the position for all employees at the company is significantly more than 39 months
You may need to use the appropriate appendix table or technology to answer this question. The average length of time that workers at a certain company remain in their positions has historically been 39 months. Recently, the company has been working to increase the length of time that employees stay in their positions even further. In order to determine whether there has been an increase in the average length of time in the position, a sample of 64 employees was selected. The average length of time in the position in the sample was 45 months with a standard deviation of 16 months. Let a0.0s. (a) State the null and the alternative hypotheses (in months). (Enter te for as needed.) H (b) Compute the test statistic. (c) Using the p-value approach, test to determine whether onot the mean length of time in the postion for all employees at the company is oignificantly more than 39 months. Find the p-value. (Round your answer to four decimal places.) p-value State your concdusion Do not reject H There is sufficient evidence to suggest that the mean length of time in the position for all employees at the company is significantly more than 39 months Do not reject H There is insufficient evidence to suggest that the mean length of time in the position for al employees at the company is significantly more than 39 months CReject H There is sufficient evidence to suggest that the mean length of time in the postion for all employees at the company is significantly more than 39 months Reject H There is insufficient evidence to suggest that the mean length of time in the position for all employees at the company is significantly more than 39 months
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question.
The average length of time that workers at a certain company remain in their positions has historically been 39 months. Recently, the company has been working to increase the length of time that
employees stay in their positions even further. In order to determine whether there has been an increase in the average length of time in the position, a sample of 64 employees was selected. The
average length of time in the position in the sample was 45 months with a standard deviation of 16 months. Let 0.05.
(a) State the null and the alternative hypotheses (in months). (Enter t for as needed.)
H
(b) Compute the test statistic.
(c) Using the p-value approach, test to determine whether onot the mean length
time in the position for all employees at the company is significantly more than 39 months
Find the p-value. (Round your answer to four decimal places.)
p-value
State your condusion
Do not reject H There is sufficient evidence to suggest that the mean length of time in the position for all employees at the company is significantly more than 39 months
Do not reject H There is insuficient evidence to suggest that the mean length of time in the position for al employees at the company is significantiy more than 39 months
Reject H There is sufficient evidence to suggest that the mean length of time in the postion for all empioyees at the company is significantly more than 39 months
Reject H There is insuficient evidence to suggest that the mean length of time in the position for all employees at the company is significantly more than 39 months
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