A random sample of 84 eighth gradestudents' scores on a national mathematics assessment test has a mean score of 289.

This test result prompts a state school administrator to declare that the mean score for thestate's eighth graders on this exam is more than 285.

Assume that the population standard deviation is 31.

At =0.06, is there enough evidence to support theadministrator's claim?

Complete parts(a) through(e)

(a) Write the claim mathematically and identify H0 and Ha. Choose the correct answer below.

A.

H0: =285 (claim)

Ha: >285

B.

H0: <285

Ha: 285 (claim)

C.

H0: 285

Ha: >285 (claim)

D.

H0: 285 (claim)

Ha: >285

E.

H0: 285 (claim)

Ha: <285

F.

H0: =285

Ha: >285 (claim)

b) Find the standardized test statisticz, and its corresponding area.

z= (round 2 decimal)

c) Find theP-value.

P-value (round 2 decimal)

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

Reject H0 or Failtoreject