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.
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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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
|
,687
|
96
|
,268
|
93
|
,513
|
112
|
,821
|
|
82
|
,514
|
74
|
,155
|
77
|
,080
|
81
|
,002
|
|
102
|
,392
|
76
|
,182
|
104
|
,074
|
103
|
,923
|
|
91
|
,069
|
82
|
,156
|
85
|
,068
|
110
|
,297
|
|
|
Question content area bottom
Part 1
(a) Identify the claim and state
H0
and
Ha.
H0:
|
muμ
equals=
|
Ha:
|
muμ
not equals≠
|
(Type integers or decimals. Do not round.)
The claim is the
hypothesis.
null
Part 2
(b) Use technology to find the critical value(s) and identify the rejection region(s).
The critical value(s) is/are
t0=negative 2.95 comma 2.95−2.95,2.95.
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
Part 3
Choose the graph which shows the rejection region.
t0
t>t0
−t0
t0
t<−t0, t>t0
t0
t<t0
−t0
t0
−t0<t<t0
Part 4
(c) Find the standardized test statistic, t.
The standardized test statistic is
t=enter your response here.
(Round to two decimal places as needed.)
PLEASE JUST ANSWER C
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