ccompanying data set and construct a 95% confidence interval estimate of the mean pulse rate of adult females; then do the same for adult males. Compare the results. a. Construct a 90% confidence interval of the mean pulse rate for adult females. (Round to one decimal place as needed.)
ccompanying data set and construct a 95% confidence interval estimate of the mean pulse rate of adult females; then do the same for adult males. Compare the results. a. Construct a 90% confidence interval of the mean pulse rate for adult females. (Round to one decimal place as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Refer to the accompanying data set and construct a 95% confidence
a. Construct a 90% confidence interval of the mean pulse rate for adult females.
(Round to one decimal place as needed.)
b. Construct a 90% confidence interval of the mean pulse rate for adult males.
(Round to one decimal place as needed.)

Transcribed Image Text:**Pulse Rates (beats per minute)**
This data represents pulse rates of males and females in beats per minute.
**Males**
- 84
- 74
- 52
- 61
- 53
- 62
- 54
- 77
- 52
- 59
- 70
- 58
- 65
- 75
- 80
- 67
- 66
- 95
- 41
- 85
**Females**
- 73
- 63
- 71
- 73
- 51
- 69
- 59
- 80
- 69
- 66
- 64
- 96
- 60
- 67
- 59
- 58
- 70
- 71
- 84
- 55
**Detailed Explanation**: The table provides a list of individual pulse rates for males and females. Each column lists rates recorded for individuals in each gender category. These rates can be used to analyze differences in pulse rates between genders, explore averages or ranges, and understand general health indicators related to heart rate.
Expert Solution

Step 1
For males (x1) :
Sample | Males (x1) | (x1x̄1)2 | |
1 | 84 | 282.2400 | |
2 | 74 | 46.2400 | |
3 | 52 | 231.0400 | |
4 | 61 | 38.4400 | |
5 | 53 | 201.6400 | |
6 | 62 | 27.0400 | |
7 | 54 | 174.2400 | |
8 | 77 | 96.0400 | |
9 | 52 | 231.0400 | |
10 | 59 | 67.2400 | |
11 | 70 | 7.8400 | |
12 | 58 | 84.6400 | |
13 | 65 | 4.8400 | |
14 | 75 | 60.8400 | |
15 | 80 | 163.8400 | |
16 | 67 | 0.0400 | |
17 | 66 | 1.4400 | |
18 | 95 | 772.8400 | |
19 | 41 | 686.4400 | |
20 | 85 | 316.8400 | |
21 | 73 | 33.6400 | |
22 | 63 | 17.6400 | |
23 | 71 | 14.4400 | |
24 | 73 | 33.6400 | |
25 | 51 | 262.4400 | |
26 | 69 | 3.2400 | |
27 | 59 | 67.2400 | |
28 | 80 | 163.8400 | |
29 | 69 | 3.2400 | |
30 | 66 | 1.4400 | |
31 | 64 | 10.2400 | |
32 | 96 | 829.4400 | |
|
60 | 51.8400 | |
34 | 67 | 0.0400 | |
35 | 59 | 67.2400 | |
36 | 58 | 84.6400 | |
37 | 70 | 7.8400 | |
38 | 71 | 14.4400 | |
39 | 84 | 282.2400 | |
40 | 55 | 148.8400 | |
Sum | 2688 | 5592.4000 | |
Mean (x̄1) | 67.20 |
sample size (n1) = 40
sample mean (x̄1) = Σx1 /n1 = 2688/40 = 67.20
sample standard deviation (s1) = √Σ (x1-x̄1)2 /(n1-1) = √ 5592.4000/(40-1) = 11.9748
For Female (x2) :
sample | Female (x2) | (x2-x̄2)^2 |
1 | 78 | 5.5225 |
2 | 92 | 267.3225 |
3 | 59 | 277.2225 |
4 | 63 | 160.0225 |
5 | 54 | 468.7225 |
6 | 83 | 54.0225 |
7 | 78 | 5.5225 |
8 | 85 | 87.4225 |
9 | 87 | 128.8225 |
10 | 55 | 426.4225 |
11 | 37 | 1493.8225 |
12 | 65 | 113.4225 |
13 | 83 | 54.0225 |
14 | 77 | 1.8225 |
15 | 75 | 0.4225 |
16 | 67 | 74.8225 |
17 | 69 | 44.2225 |
18 | 78 | 5.5225 |
19 | 57 | 347.8225 |
20 | 66 | 93.1225 |
21 | 84 | 69.7225 |
22 | 82 | 40.3225 |
23 | 72 | 13.3225 |
24 | 75 | 0.4225 |
25 | 87 | 128.8225 |
26 | 90 | 205.9225 |
27 | 90 | 205.9225 |
28 | 91 | 235.6225 |
29 | 90 | 205.9225 |
30 | 91 | 235.6225 |
31 | 66 | 93.1225 |
32 | 88 | 152.5225 |
33 | 83 | 54.0225 |
34 | 77 | 1.8225 |
35 | 72 | 13.3225 |
36 | 57 | 347.8225 |
37 | 100 | 592.9225 |
38 | 73 | 7.0225 |
39 | 75 | 0.4225 |
40 | 75 | 0.4225 |
Sum | 3026 | 6715.1 |
Mean (x̄2) | 75.65 |
sample size (n2) = 40
sample mean (x̄2) = Σx2 /n2 =3026/40 = 75.65
sample standard deviation (s2) = √ Σ (x2-x̄2)2 /(n2-1) = √ 6715.1/(40-1) = 13.1218
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