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Consider the following hypothesis test:

H ₀:   20

H _a:  < 20

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

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

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

c. Using  = .05, can it be concluded that the population mean is less than 20?
SelectYesNoItem 3

d. Using  = .05, what is the critical value for the test statistic? If your answer is negative, use minus “-” sign

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 critical value.

f. Using  = .05, can it be concluded that the population mean is less than 20?
SelectYesNo

Answer 1

a()

value of the test statistic =-2.12

b) p-value =0.017

c)

Yes

d)

critical value for the test statistic =-1.645

e) Reject H ₀ if z is less than or equal to -1.645

f) Yes