Question

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 4.1**
shows the ages of the corporate CEOs for a random sample of these
firms.

48 |
58 |
51 |
61 |
56 |

59 |
74 |
63 |
53 |
50 |

59 |
60 |
40 |
57 |
46 |

55 |
63 |
57 |
47 |
55 |

57 |
43 |
61 |
62 |
49 |

**Table 4.1**

Use this sample data to construct a 90% confidence interval for the mean age of CEO’s for these top firms. Use the Student's t-distribution.

Answer #1

For the given data

mean = 55.36

s.d = 7.4436

ANSWER : 90 % C.I 52.813 < MU < 57.907

Age of CEO
57
49
57
63
58
56
67
62
61
61
53
58
52
58
56
66
56
59
52
63
52
59
57
64
53
54
65
46
58
58
57
50
62
57
58
52
48
59
54
62
66
46
52
63
57
52
61
50
55
55
64
48
56
58
55
60
51
62
62
50
45
50
52
55
58
57
52
53
61
55
63
54
52
59
50
56
57...

The following are heights of a rural middle school’s eighth
graders. The heights are rounded to the nearest inch. Use this
information for questions 6-10.
50
53
54
56
58
59
60
60
62
63
51
53
55
56
58
59
60
61
62
63
51
53
55
57
58
59
60
61
62
63
52
54
56
57
58
59
60
61
62
64
52
54
56
57
58
59
60
62
63
64
6.) Are the heights quantitative...

The alternating current (AC) breakdown voltage of an insulating
liquid indicates its dielectric strength. An article gave the
accompanying sample observations on breakdown voltage (kV) of a
particular circuit under certain conditions.
62
51
54
57
42
54
56
61
59
64
50
54
64
62
50
68
54
55
57
50
55
51
56
55
46
56
53
55
52
48
47
55
58
48
63
58
58
55
53
59
54
52
51
56
60
51
56
58...

Create a frequency distribution using age and male-yes. It's
supposed to be a bar chart.
Age
55
50
42
47
58
67
64
64
62
43
51
58
42
51
66
69
57
48
51
50
43
46
49
48
55
51
50
41
47
55
54
52
64
68
51
40
53
67
65
47
48
56
64
45
57
50
52
60
66
70
63
63
63
32
70
66
50
67
63
59
63
34
70
50...

In Project 1 this Spring, you studied recording times in minutes
for a sample of Dr. Marion’s 33 recordings of Gustav Mahler’s 1st
Symphony: 55 49 50 52 53 56 55 53 57 59 52 55 50 50 62 53 58 58 63
51 52 51 54 65 60 57 57 56 54 56 47 48 52
Using σ = 4, how large a sample would we need in order to
estimate mean recording times for Mahler’s 1st Symphony to...

Farmer Macdonald grows soybeans. The table shows the heights of
a random sample of 30 plants after several weeks. What is the
z-score of a plant with a height of 70 cm? (Yes, calculate all
necessary statistics and answer assuming a normal distribution) 70,
56, 56, 50, 66, 63, 59, 59, 64, 61, 55, 60, 60, 62, 61, 61, 60, 51,
62, 61, 48, 49, 57, 67, 62, 55, 46, 56, 66, 60

You are currently working at NCLEX Memorial Hospital in the
Infectious Diseases Unit. Over the past few days, you have noticed
an increase in patients admitted with a particular infectious
disease. You believe that the ages of these patients play a
critical role in the method used to treat the patients. You decide
to speak to your manager, and together you work to use statistical
analysis to look more closely at the ages of these patients.
The data set consists...

Exercise 16.037
{Exercise 16.37}
The following exercises require the use of a
computer and software.
Use a 5% significance level for all tests of
hypotheses.
Dataset:
Income
Food
53
188.24
47
304.89
59
304.99
44
283.99
87
316.21
56
263.32
62
315.87
60
201.52
70
295.5
85
318.53
63
278.78
57
254.34
59
253.79
64
310.97
45
215.79
62
248.34
63
299.66
55
220.72
77
319.58
52
280.96
72
259.73
64
254.5
68
181.99
54
256.8
63
258.54
57
203.91...

2a. Describe the sample and population you are studying.
I am studying customers' satisfaction level with their
car insurance plan.
2b. Calculate the sample mean and sample standard deviation for
your variable. Keep at least four decimal places.
2c. Calculate the standard error and the margin of error for a 90%
confidence interval. Keep at least four decimal places.
Data:
36
18
66
43
28
39
47
40
24
46
48
57
36
58
39
62
43
65
74
36...

Kuya is relocating to China to manage a local branch of world
news broadcasting station. He needs to decide on which mobile phone
providers he should select based on a sample data of monthly
charges from various subscribers. He came to you with the data to
determine the provider with the lowest charges, on the average.
Which provider would you advise Kuya to select?
Mobile
Unicom
Telecom
62
60
62
55
71
58
69
64
68
58
65
57
56...

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