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 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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