Question

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 |

**(b) Calculate and interpret a 95% CI for true average
breakdown voltage μ. (Round your answers to one decimal
place.)**

**(c) Suppose the investigator believes that virtually all
values of breakdown voltage are between 40 and 70. What sample size
would be appropriate for the 95% CI to have a width of 1 kV (so
that μis estimated to within 0.5 kV with 95% confidence)?
(Round your answer up to the nearest whole number.)**

**circuits**

Answer #1

(B) Copy and paste the data values into excel sheet, use excel function AVERAGE and STDEV.S to find the mean and sample standard deviation, we get

mean (x bar) = 55.06 and sample standard deviation (s) = 5.088 with sample size n = 48

degree of freedom = n-1= 48-1 = 47

t critical = T.INV.2T(alpha,df) = T.INV.2T(0.05,47) = 2.012

CI =

(C) Given that margin of error (E) = 0.5

by range rule of thumb, standard deviation =(max-min)/4 = (70-40)/4 = 30/4 = 7.5

z score for 95% confidence level is 1.96 (using z table)

sample size n = ((z*sd)/E)^2

= ((1.96*7.5)/0.5)^2

= 29.4^2

= 864.36

**= 864 (rounded to nearest whole number)** or
865 (rounded to next whole number)

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...

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for a sample of Dr. Marion’s 33 recordings of Gustav Mahler’s 1st
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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
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The following are heights of a rural middle school’s eighth
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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
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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...

Create a frequency distribution using age and male-yes. It's
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Age
55
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42
47
58
67
64
64
62
43
51
58
42
51
66
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57
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51
50
43
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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...

The following samples have been taken from an on-going process.
Use these values to create both an X bar and an R chart, and then
answer the questions below. Please show work.
Sample 1: 56 48 53 58 52
Sample 2: 50 59 57 56 54
Sample 3: 61 59 56 55 58
Sample 4: 57 51 49 57 50
Sample 5: 50 49 57 55 56
Sample 6: 56 55 60 58 57
A) What is the value of...

The Whitcomb Company manufactures a metal ring for industrial
engines that usually weighs about 50 ounces. A random sample of 50
of these metal rings produced the following wights (in ounces).
51
53
56
50
44
47
53
53
42
57
46
55
41
44
52
56
50
57
44
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52
69
53
57
51
54
63
42
47
47
52
53
46
36
58
51
38
49
50
62
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44
55
43
52
43
42
57...

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.
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2b. Calculate the sample mean and sample standard deviation for
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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...

The authors used a more advanced statistical method than is
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Present hypotheses and conduct the appropriate statistical test to
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Q1. A clinical trial is run to assess the effects of
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Weight Training
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48
38
56
49
41...

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