7.2(8e)

A random sample of

84

eighth grade students' scores on a national mathematics assessment test has a mean score of

294.

This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than

285.

Assume that the population standard deviation is

37.

At

=0.09,

is there enough evidence to support the administrator's claim? Complete parts (a) through (e).

Question content area bottom

Part 1

(a) Write the claim mathematically and identify

H0

and

Ha.

Choose the correct answer below.

A.

H0:

=285

Ha:

>285

(claim)

B.

H0:

285

Ha:

>285

(claim)

Your answer is correct.

C.

H0:

285

(claim)

Ha:

>285

D.

H0:

285

(claim)

Ha:

<285

E.

H0:

<285

Ha:

285

(claim)

F.

H0:

=285

(claim)

Ha:

>285

Part 2

(b) Find the standardized test statistic z, and its corresponding area.

z=2.232.23

(Round to two decimal places as needed.)

Part 3

(c) Find the P-value.

P-value=0.0130.013

(Round to three decimal places as needed.)

Part 4

(d) Decide whether to reject or fail to reject the null hypothesis.

Reject Upper H 0

Reject

H0

Your answer is correct.

Fail to reject Upper H 0

Failtoreject

H0

Part 5

(e) Interpret your decision in the context of the original claim.

At the

9%

significance level, there

is

is not

enough evidence to

support

reject

the administrator's claim that the mean score for the state's eighth graders on the exam is more than

285.