An employment information service claims the mean annual salary for senior level product engineers is $96,000. The annual salaries(in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At =0.10, test the claim that the mean salary is $96,000. Complete parts(a) through(e) below. Assume the population is normally distributed.

Annual Saleries

100,562

96,359

93,573

112,640

82,550

74,139

77,084

80,931

102,391

76,117

104,021

104,071

91,033

82,155

85,088

110,341

a) Identify the claim and state H0 and Ha.

b) Use technology to find the criticalvalue(s) and identify the rejectionregion(s).

The criticalvalue(s) is/are t0=

c) Find the standardized teststatistic, t.

The standardized test statistic is t=

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

Fail to reject

Reject

H0 because the standardized test statistic

is not

is

in the rejection region.

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

There

is not

is

enough evidence at the

%

level of significance to

support

reject

the claim that the mean annual salary for senior level product engineers is

equal to

greater than

less than

greater than or equal to

less than or equal to

not equal to

$. (Type integers or decimals. Do notround.)