An employment information service claims the mean annual salary for senior level product engineers is $98,000. The an salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At a = 0.05, test the claim that the mean salary is $98,000. Complete parts (a) through (e) below. Assume the population is normally distributed. GEEH 100,631 82,584 102,396 91,048 Annual Salaries 96,366 93,544 112,664 - 74,136 77,080 80,920 76,114 104,068 103,964 82,043 84,995 110,356
An employment information service claims the mean annual salary for senior level product engineers is $98,000. The an salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At a = 0.05, test the claim that the mean salary is $98,000. Complete parts (a) through (e) below. Assume the population is normally distributed. GEEH 100,631 82,584 102,396 91,048 Annual Salaries 96,366 93,544 112,664 - 74,136 77,080 80,920 76,114 104,068 103,964 82,043 84,995 110,356
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![An employment information service claims the mean annual salary for senior level product engineers is $98,000. The annual [missing text here].
(c) Find the standardized test statistic, \( t \).
The standardized test statistic is \( t = \) [Blank]
(Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
[Dropdown] \( H_0 \) because the standardized test statistic [Dropdown] in the rejection region.
(e) Interpret the decision in the context of the original claim.
There [Dropdown] enough evidence at the [Blank] % level of significance to [Dropdown] the claim that the mean annual salary for senior level product engineers is $[Blank].
Graphs:
1. **Graph 1**: Illustrates a distribution with the region \( t < t_0 \) shaded, showing a left-tail test scenario.
2. **Graph 2**: Shows a distribution with two regions, \( t < -t_0 \) and \( t > t_0 \), shaded. This depicts a two-tailed test scenario.
3. **Graph 3**: Displays a distribution with the region \( t > t_0 \) shaded, indicating a right-tail test scenario.
4. **Graph 4**: Depicts a distribution with the central region, \( -t_0 < t < t_0 \), shaded, which could represent accepting the null hypothesis in a two-tailed test.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd6158d43-334d-4161-8a0f-ff9657025746%2F99f6c752-7f7c-4f56-ba56-66f052f4b01f%2Fdtccc7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:An employment information service claims the mean annual salary for senior level product engineers is $98,000. The annual [missing text here].
(c) Find the standardized test statistic, \( t \).
The standardized test statistic is \( t = \) [Blank]
(Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
[Dropdown] \( H_0 \) because the standardized test statistic [Dropdown] in the rejection region.
(e) Interpret the decision in the context of the original claim.
There [Dropdown] enough evidence at the [Blank] % level of significance to [Dropdown] the claim that the mean annual salary for senior level product engineers is $[Blank].
Graphs:
1. **Graph 1**: Illustrates a distribution with the region \( t < t_0 \) shaded, showing a left-tail test scenario.
2. **Graph 2**: Shows a distribution with two regions, \( t < -t_0 \) and \( t > t_0 \), shaded. This depicts a two-tailed test scenario.
3. **Graph 3**: Displays a distribution with the region \( t > t_0 \) shaded, indicating a right-tail test scenario.
4. **Graph 4**: Depicts a distribution with the central region, \( -t_0 < t < t_0 \), shaded, which could represent accepting the null hypothesis in a two-tailed test.
![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 α = 0.05, test the claim that the mean salary is $98,000. Complete parts (a) through (e) below. Assume the population is normally distributed.
Annual Salaries:
- 100,631
- 96,366
- 93,544
- 112,664
- 82,584
- 74,136
- 77,080
- 80,920
- 102,396
- 76,114
- 104,068
- 103,964
- 91,048
- 82,043
- 84,995
- 110,356
(a) Identify the claim and state \( H_0 \) and \( H_a \).
\( H_0: \) [Select from list]
\( H_a: \) [Select from list]
(Type integers or decimals. Do not round.)
The claim is the [Select type] hypothesis.
(b) Use technology to find the critical value(s) and identify the rejection region(s).
The critical value(s) is/are \( t_0 = \) [Enter value]
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
Choose the graph which shows the rejection region.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd6158d43-334d-4161-8a0f-ff9657025746%2F99f6c752-7f7c-4f56-ba56-66f052f4b01f%2F88s9lvo_processed.jpeg&w=3840&q=75)
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 α = 0.05, test the claim that the mean salary is $98,000. Complete parts (a) through (e) below. Assume the population is normally distributed.
Annual Salaries:
- 100,631
- 96,366
- 93,544
- 112,664
- 82,584
- 74,136
- 77,080
- 80,920
- 102,396
- 76,114
- 104,068
- 103,964
- 91,048
- 82,043
- 84,995
- 110,356
(a) Identify the claim and state \( H_0 \) and \( H_a \).
\( H_0: \) [Select from list]
\( H_a: \) [Select from list]
(Type integers or decimals. Do not round.)
The claim is the [Select type] hypothesis.
(b) Use technology to find the critical value(s) and identify the rejection region(s).
The critical value(s) is/are \( t_0 = \) [Enter value]
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
Choose the graph which shows the rejection region.
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