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In: Statistics and Probability

Consider the following hypothesis test: H 0:  = 17 H a:   17 A sample of 40 provided a...

Consider the following hypothesis test:

H 0:  = 17

H a:   17

A sample of 40 provided a sample mean of 14.31. The population standard deviation is 5.

a. Compute the value of the test statistic (to 2 decimals). (If answer is negative, use minus “-“ sign.)

b. What is the p-value (to 4 decimals)?

c. Using  = .05, can it be concluded that the population mean is not equal to 17? SelectYesNoItem 3

Answer the next three questions using the critical value approach.

d. Using  = .05, what are the critical values for the test statistic (to 2 decimals)? ±

e. State the rejection rule: Reject H 0 if z is Selectgreater than or equal togreater thanless than or equal toless thanequal tonot equal toItem 5 the lower critical value and is Selectgreater than or equal togreater thanless than or equal toless thanequal tonot equal toItem 6 the upper critical value.

f. Can it be concluded that the population mean is not equal to 17?
SelectYesNoItem 7

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