The HR manager of an organization is bargaining to get a new dental insurance plan. He claims that the yearly family dental expenses of its employees exceeds AED 20000. A random sample of 16 employees reveals that the average family dental expenses is AED 20500 and the standard deviation is AED 600. Assuming normality of the yearly family dental expenses, at 5% significance level can we support the manager's claim? (1) State the hypotheses. (2) Check the assumptions of the test and compute the test statistic (Round your answer to three decimal place). (3) Find the p- value (Round your answer to three decimal places). (4) Make a decision and state the conclusion.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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The HR manager of an organization is bargaining to get a new dental insurance
plan. He claims that the yearly family dental expenses of its employees exceeds AED
20000. A random sample of 16 employees reveals that the average family dental
expenses is AED 20500 and the standard deviation is AED 600. Assuming normality of
the yearly family dental expenses, at 5% significance level can we support the
manager's claim? (1) State the hypotheses. (2) Check the assumptions of the test and
compute the test statistic (Round your answer to three decimal place). (3) Find the p-
value (Round your answer to three decimal places). (4) Make a decision and state the
conclusion.
Transcribed Image Text:The HR manager of an organization is bargaining to get a new dental insurance plan. He claims that the yearly family dental expenses of its employees exceeds AED 20000. A random sample of 16 employees reveals that the average family dental expenses is AED 20500 and the standard deviation is AED 600. Assuming normality of the yearly family dental expenses, at 5% significance level can we support the manager's claim? (1) State the hypotheses. (2) Check the assumptions of the test and compute the test statistic (Round your answer to three decimal place). (3) Find the p- value (Round your answer to three decimal places). (4) Make a decision and state the conclusion.
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