There (is/is not) enough evidence at the ___% level of significance to (support/ Reject) the claim that the mean annual salary for senior level product engineers is

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There (is/is not) enough evidence at the ___% level of significance to (support/ Reject) the claim that the mean annual salary for senior level product engineers is 

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 = 0.10, test the claim that the mean salary is $98,000. Complete parts (a) through (e) below. Assume the population is normally distributed.
Annual Salaries
100,725
82,577
102,534
91,056
112,738 O
80,913
103,953
110,362
96,338 93,507
77,058
74,224
76,207 103,956
82,047 85,148
(a) Identify the claim and state Ho and Ha.
Ho:
98000
Hạ:
98000
(Type integers or decimals. Do not round.)
The claim is the
null
hypothesis.
(b) Use technology to find the critical value(s) and identify the rejection region(s).
The critical value(s) is/are to
- 1.75,1.75.
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
Choose the graph which shows the rejection region.
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 = 0.10, test the claim that the mean salary is $98,000. Complete parts (a) through (e) below. Assume the population is normally distributed. Annual Salaries 100,725 82,577 102,534 91,056 112,738 O 80,913 103,953 110,362 96,338 93,507 77,058 74,224 76,207 103,956 82,047 85,148 (a) Identify the claim and state Ho and Ha. Ho: 98000 Hạ: 98000 (Type integers or decimals. Do not round.) The claim is the null hypothesis. (b) Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are to - 1.75,1.75. (Use a comma to separate answers as needed. Round to two decimal places as needed.) Choose the graph which shows the rejection region.
t< - to, t>to
t< to
- to <t<to
t> to
-4
0 to
4
-4
to 0
-4
- to 0 to
4
-4
4
(c) Find the standardized test statistic, t.
less than or equal to
The standardized test statistic is t= - 1.87.
equal to
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
less than
(d) Decide whether to reject or fail to reject the null hypothesis.
greater than or equal to
Reject
Ho because the standardized test statistic
is
in the rejection region.
greater than
(e) Interpret the decision in the context of the original claim.
not equal to
There
enough evidence at the % level of significance to
the claim that the mean annual salary for senior level product engineers is
(Type integers or decimals. Do not round.)
Transcribed Image Text:t< - to, t>to t< to - to <t<to t> to -4 0 to 4 -4 to 0 -4 - to 0 to 4 -4 4 (c) Find the standardized test statistic, t. less than or equal to The standardized test statistic is t= - 1.87. equal to (Use a comma to separate answers as needed. Round to two decimal places as needed.) less than (d) Decide whether to reject or fail to reject the null hypothesis. greater than or equal to Reject Ho because the standardized test statistic is in the rejection region. greater than (e) Interpret the decision in the context of the original claim. not equal to There enough evidence at the % level of significance to the claim that the mean annual salary for senior level product engineers is (Type integers or decimals. Do not round.)
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