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.

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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
​,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
 
 
 
 

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Part 1
​(a) Identify the claim and state
H0
and
Ha.
 
H0: 
muμ
 
equals=
 
9700097000
Ha: 
muμ
 
not equals≠
 
9700097000
​(Type integers or decimals. Do not​ round.)
 
The claim is the
null
 
hypothesis.
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.
 
 
A.
 
 
 
 
 
 
 
 
 
 
-4  0  4   t
t0
t>t0
 
  •  
  •  
  •  
A graph labeled t greater than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. A vertical line segment extends from the curve to the t-axis at a point labeled t 0, where t 0 is to the right of 0. The area under the curve to the right of t 0 is shaded.
 
B.
 
 
 
 
 
 
 
 
 
 
 
 
   0     -44t
−t0
t0
t<−t0, t>t0
 
  •  
  •  
  •  
A graph labeled t less than negative t 0, t greater than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. Two vertical line segments extend from the curve to the t-axis at the points labeled negative t 0 and t 0, where t 0 is to the right of 0. The areas under the curve to the left of negative t 0 and to the right of t 0 are shaded.
Your answer is correct.
 
C.
 
 
 
 
 
 
 
 
 
 
-4  0  4   t
t0
t<t0
 
  •  
  •  
  •  
A graph labeled t less than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. A vertical line segment extends from the curve to the t-axis at a point labeled t 0, where t 0 is to the left of 0. The area under the curve to the left of t 0 is shaded.
 
D.
 
 
 
 
 
 
 
 
 
 
 
 
 
   0     -44t
−t0
t0
−t0<t<t0
 
  •  
  •  
  •  
A graph labeled negative t 0 less than t less than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. Two vertical line segments extend from the curve to the t-axis at the points labeled negative t 0 and t 0, where t 0 is to the right of 0. The area under the curve between negative t 0 and t 0 is shaded.
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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