The Wall Street Journal published a study in May 2019 claiming that it was hard to find CEOS that are younger than 50 years old in S&P 500 firms. The Table 1 below shows the ages of the corporate CEOS for a random sample of these firms. 48 58 51 61 56 55 72 63 53 50 55 57 40 57 46 47 53 54 49 55 53 57 57 43 Use this sample data to answer the following questions and to construct a 95% confidence interval for the mean age of CEO's for these top firms. Use the Student's t-distribution. Round to 2 decimal spaces unless specified otherwise. 52 a. Sample mean = b. Sample standard deviation = c. Value of significance t= d. 95% Confidence interval: Lower Limit = and Upper Limit = e. The claim of the Wall Street Journal is valid. Answer "True" or "False" based on your sample test conducted above:

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The Wall Street Journal published a study in May 2019 claiming that it was hard to find CEOs that are younger than 50 years old in S&P 500 firms. Table 1 below shows the ages of the corporate CEOs for a random sample of these firms.

| Ages |
|------|
| 48 |
| 58 |
| 51 |
| 61 |
| 56 |
| 55 |
| 72 |
| 63 |
| 53 |
| 50 |
| 55 |
| 57 |
| 40 |
| 61 |
| 53 |
| 55 |
| 53 |
| 57 |
| 47 |
| 43 |
| 52 |
| 54 |
| 54 |
| 49 |

Use this sample data to answer the following questions and to construct a 95% confidence interval for the mean age of CEOs for these top firms. Use the Student's t-distribution. Round to 2 decimal spaces unless specified otherwise.

a. Sample mean = __________

b. Sample standard deviation = __________

c. Value of significance t = __________

d. 95% Confidence interval: Lower Limit = __________ and Upper Limit = __________

e. The claim of the *Wall Street Journal* is valid. Answer “True” or “False” based on your sample test conducted above: __________
Transcribed Image Text:The Wall Street Journal published a study in May 2019 claiming that it was hard to find CEOs that are younger than 50 years old in S&P 500 firms. Table 1 below shows the ages of the corporate CEOs for a random sample of these firms. | Ages | |------| | 48 | | 58 | | 51 | | 61 | | 56 | | 55 | | 72 | | 63 | | 53 | | 50 | | 55 | | 57 | | 40 | | 61 | | 53 | | 55 | | 53 | | 57 | | 47 | | 43 | | 52 | | 54 | | 54 | | 49 | Use this sample data to answer the following questions and to construct a 95% confidence interval for the mean age of CEOs for these top firms. Use the Student's t-distribution. Round to 2 decimal spaces unless specified otherwise. a. Sample mean = __________ b. Sample standard deviation = __________ c. Value of significance t = __________ d. 95% Confidence interval: Lower Limit = __________ and Upper Limit = __________ e. The claim of the *Wall Street Journal* is valid. Answer “True” or “False” based on your sample test conducted above: __________
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