Question

Consider the following hypotheses:

*H*_{0}: *μ* = 9,100

*H _{A}*:

The population is normally distributed with a population standard deviation of 700. Compute the value of the test statistic and the resulting

Test statistic | p-value |
|||

a. | x−x− = 9,190; n = 105 |
(Click to select) Reject H0 Do not reject H0 | ||

b. | x−x− = 9,190; n = 255 |
(Click to select) Reject H0 Do not reject H0 | ||

c. | x−x− = 8,830; n = 37 |
(Click to select) Reject H0 Do not reject H0 | ||

d. | x−x− = 8,860; n = 37 |
(Click to select) Do not reject H0 Reject H0 | ||

Answer #1

As population standard deviation is known, we will use z distribution to find the test statistics

a.

P value is

As P value greater than alpha=0.1, we fail to reject the null hypothesis

So Do not reject H0

b.

P value is

As P value is less than alpha=0.1, we reject the null hypothesis

So Reject H0

c.

P value is

As P value is less than alpha=0.1, we reject the null hypothesis

So Reject H0

d.

As P value is less than alpha=0.1, we reject the null hypothesis

So Reject H0

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