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Consider the following hypothesis test: H 0:   20 H a:  < 20 A sample of 50 provided a sample mean...

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Question

Basic Math

Consider the following hypothesis test:

H 0:   20

H a:  < 20

A sample of 50 provided a sample mean of 19.4. The populationstandard deviation is 2.

a. Compute the value of the test statistic (to2 decimals).

b. What is the p-value (to 3decimals)?

c. Using  = .05, can it be concludedthat the population mean is less than 20?

d. Using  = .05, what is the criticalvalue for the test statistic?

e. State the rejection rule: Reject H0 if z is

greater than or equal to

greater than

less than or equal to

less than equal to

not equal toItem 5  the critical value.

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