MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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.
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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.
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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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