An employment information service claims the mean annual salary for senior level product engineers is $98,000. The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At a = 0.01, test the claim that the mean salary is $98,000. Complete parts (a) through (e) below. Assume the population is normally distributed. Annual Salaries 100,640 82,466 102,499 91,005 96,336 93,622 112,739 74,180 77,088 76,188 104,064 80,940 103,966 82,129 85,069 110,358

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An employment information service claims the mean annual salary for senior level product engineers is $98,000. The annual salaries (in dollars) for a random sample of 16 senior level product
engineers are shown in the table to the right. At a = 0.01, test the claim that the mean salary is $98,000. Complete parts (a) through (e) below. Assume the population is normally distributed.
Annual Salaries
100,640
82,466
102,499
91,005
96,336 93,622
74,180 77,088
76,188 104,064
82,129 85,069
112,739
80,940
103,966
110,358
Choose the graph which shows the rejection region.
O A.
В.
C.
D.
t> to
- to <t<to
t< - to, t>to
t<to
0 to
4
- to 0 to
-4
- to 0 to
(c) Find the standardized test statistic, t.
The standardized test statistic is t =
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
Transcribed Image Text:An employment information service claims the mean annual salary for senior level product engineers is $98,000. The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At a = 0.01, test the claim that the mean salary is $98,000. Complete parts (a) through (e) below. Assume the population is normally distributed. Annual Salaries 100,640 82,466 102,499 91,005 96,336 93,622 74,180 77,088 76,188 104,064 82,129 85,069 112,739 80,940 103,966 110,358 Choose the graph which shows the rejection region. O A. В. C. D. t> to - to <t<to t< - to, t>to t<to 0 to 4 - to 0 to -4 - to 0 to (c) Find the standardized test statistic, t. The standardized test statistic is t = (Use a comma to separate answers as needed. Round to two decimal places as needed.)
d) Decide whether to reject or fail to reject the null hypothesis.
Họ because the standardized test statistic
in the rejection region.
(e) Interpret the decision in the context of the original claim.
There
enough evidence at the% level of significance to
the claim that the mean annual salary for
senior level product engineers is
$O. (Type integers or decimals. Do not round.)
Transcribed Image Text:d) Decide whether to reject or fail to reject the null hypothesis. Họ because the standardized test statistic in the rejection region. (e) Interpret the decision in the context of the original claim. There enough evidence at the% level of significance to the claim that the mean annual salary for senior level product engineers is $O. (Type integers or decimals. Do not round.)
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