Refer to the accompanying 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.) b. Construct a 90% confidence interval of the mean pulse rate for adult males. (Round to one decimal place as needed.) **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.

For males (x1) : Sample Males (x1) (x1x̄1)2 1 84 282.2400 2 74 46.2400 3 52 231.0400…

Answered: ccompanying data set and construct a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Related questions

Question

Refer to the accompanying 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.)

b. Construct a 90% confidence interval of the mean pulse rate for adult males.

(Round to one decimal place as needed.)

**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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Step 1

For males (x1) :

Sample

Males (x1)

(x1x̄1)²

282.2400

46.2400

231.0400

38.4400

201.6400

27.0400

174.2400

96.0400

231.0400

67.2400

7.8400

84.6400

4.8400

60.8400

163.8400

0.0400

1.4400

772.8400

686.4400

316.8400

33.6400

17.6400

14.4400

33.6400

262.4400

3.2400

67.2400

163.8400

3.2400

1.4400

10.2400

829.4400

51.8400

0.0400

67.2400

84.6400

7.8400

14.4400

282.2400

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