Constructing a Confidence Interval In Exercises 31 and 32, use the data set to (a) find the sample mean, (b) find the sample standard deviation, and (c) construct a 98% confidence interval for the population mean. 31. Earnings The annual earnings (in dollars) of 32 randomly selected magnetic resonance imaging technologists (Adapted from Salary.com) 90,198 65,357 62,108 78,201 80,882 74,759 46,382 75,196 56,412 74,610 65,460 68,066 53,610 92,391 57,579 99,477 42,363 47,315 67,769 50,110 92,437 58,188 76,515 65,997 42,713 77,745 57,928 94,066 61,748 91,868 62,445 70,359

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Author:Amos Gilat
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pg 315 question 31 

### Constructing a Confidence Interval

In Exercises 31 and 32, use the data set to:

- **(a)** Find the sample mean.
- **(b)** Find the sample standard deviation.
- **(c)** Construct a 98% confidence interval for the population mean.

#### 31. Earnings

The annual earnings (in dollars) of 32 randomly selected magnetic resonance imaging technologists are as follows:

- 90,198
- 65,357
- 62,108
- 78,201
- 80,882
- 74,759
- 46,382
- 75,196
- 56,412
- 74,610
- 65,460
- 68,066
- 53,610
- 92,391
- 57,579
- 99,477
- 42,363
- 47,315
- 67,769
- 50,110
- 92,437
- 58,188
- 76,515
- 65,997
- 42,713
- 77,745
- 57,928
- 94,066
- 61,748
- 61,748
- 62,445
- 70,359

(Adapted from Salary.com)
Transcribed Image Text:### Constructing a Confidence Interval In Exercises 31 and 32, use the data set to: - **(a)** Find the sample mean. - **(b)** Find the sample standard deviation. - **(c)** Construct a 98% confidence interval for the population mean. #### 31. Earnings The annual earnings (in dollars) of 32 randomly selected magnetic resonance imaging technologists are as follows: - 90,198 - 65,357 - 62,108 - 78,201 - 80,882 - 74,759 - 46,382 - 75,196 - 56,412 - 74,610 - 65,460 - 68,066 - 53,610 - 92,391 - 57,579 - 99,477 - 42,363 - 47,315 - 67,769 - 50,110 - 92,437 - 58,188 - 76,515 - 65,997 - 42,713 - 77,745 - 57,928 - 94,066 - 61,748 - 61,748 - 62,445 - 70,359 (Adapted from Salary.com)
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