What critical regions for z would be used to test the hypoth

What critical region(s) for z would be used to test the hypotheses: H_0:=10 versus H_a:10, for = 0.05 ? State the null hypothesis Ho and the alternative hypothesis Ha that would be used for a hypothesis test of the following: The mean age of the students enrolled in evening classes at a certain college is greater than 26 years.

Solution

a)

As this is a two tailed test at 0.05 level, the critical regions are, by table/technology,

z < -1.959963985 or z > 1.959963985 [ANSWER]

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b)

Ho: u <= 26
Ha: u > 26 [ANSWER]

What critical region(s) for z would be used to test the hypotheses: H_0:=10 versus H_a:10, for = 0.05 ? State the null hypothesis Ho and the alternative hypothe

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