A hypothesis will be used to test that a population mean equ

A hypothesis will be used to test that a population mean equals 6 against the alternative that the population mean does not equal 6 with known variance. what are the critical values for the test statistic Z0 for the significance levels? a)0.01 b)0.05 c)0.10

A hypothesis will be used to test that a population mean equals 8 against the alternative that the population mean isless then 8 with known variance. what are the critical values for the test statistic Z0 for the significance levels? a)0.01 b)0.05 c)0.10

Solution

1.

A hypothesis will be used to test that a population mean equals 6 against the alternative that the population mean does not equal 6 with known variance. what are the critical values for the test statistic Z0 for the significance levels? a)0.01 b)0.05 c)0.10

Using table/technology, as this is a two tailed test,

a) zcrit = -2.575829304 and 2.575829304 [ANSWER]

b) zcrit = -1.959963985 and 1.959963985 [ANSWER]

c) zcrit = -1.644853627 and 1.644853627 [ANSWER]

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A hypothesis will be used to test that a population mean equals 8 against the alternative that the population mean isless then 8 with known variance. what are the critical values for the test statistic Z0 for the significance levels? a)0.01 b)0.05 c)0.10

As this is a left tailed test, we have negative critical values. By table/technology,

a) zcrit = -2.326347874 [ANSWER]

b) zcrit = -1.644853627 [ANSWER]

c) zcrit = -1.281551566 [ANSWER]