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. 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.)
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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 |
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.)
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