An employment information service claims the mean annual salary for senior level product engineers is $97,000. The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At α=0.01, test the claim that the mean salary is $97,000.
Complete parts (a) through (e) below. Assume the population is normally distributed.
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Annual Salaries:
100,683
96,363
93,511
112,615
82,435
74,211
77,041
80,894
102,398
76,130
104,053
104,040
91,094
82,028
85,015
110,258
Identify the claim and state H0 and Ha.
H0:___ ___ ____
Ha: ___ ___ ____
(Type integers or decimals. Do not round.)
The claim is the________(alternative or null) hypothesis.
Use technology to find the critical value(s) and identify the rejection region(s).
The critical value(s) is/are
t0= ____ , _____
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
The standardized test statistic is
T=_______________________________
(Round to two decimal places as needed.)
Decide whether to reject or fail to reject the null hypothesis.
(Fail to reject Reject)_______ H0 because the standardized test statistic _______ (Is or Is not) in the
rejection region.
Interpret the decision in the context of the original claim.
There _____(is or is not) enough evidence at the ______% level of significance to____ (support or reject)
the claim that the mean annual salary for senior level product engineers
is _____________
greater than
greater than or equal to
less than
equal to
less than or equal to
not equal to
$____________.
(Type integers or decimals. Do not round.)