# 5 Questions

September 29, 2018

1. If samples of size
n=25 are selected from the population of the heights of male youngsters who are
normally distributed with a mean of 60 inches and a standard deviation of 10,
what percentage of the sample means would you expect to be
a) between 57 and 63?
b) less than 58?
c) 61 or larger?
2. The resting heart rates were measured in a
sample of women smokers and nonsmokers at Chicago State University. There were
14 smokers and 18 non smokers in the sample. Was there a significant difference
in the resting heart rates of the two groups? (use alpha=0.05 and a two-tailed
test)
Smokers/Nonsmokers
78 72
100 82
88 62
62 84
94 91
88 68
76 72
90 64
85 76
82 62
77 66
91 68
90 96
68 58
87
80
78
69
3. Draw a table indicating the sampling frame
and the types of parametric or non parametric test needed for each.
4. Use the following BMI data scores, 25 27 31
33 26 28 38 41 24 32 35 40. How many subjects would be needed to ensure that a
95% confidence interval estimate of BMI had a margin of error not exceeding 2
units?
5. The mean BMI in patients free of diabetes was
reported as 28.2. The investigator conducting the study described in using the
BMI data scores above hypothesizes that the BMI in patients free of diabetes is
higher. Based on the BMI data scores above is there evidence that the BMI is
significantly higher than 28.2? Use 5% level of significance.
6. Do the experimental conditions cause a change
in the systolic blood pressure of females? Use alpha=0.05
Case Before After
1-M 134 134
2-M 103 106
3-M 116 110
4-M 113 115
5-M 124 122
6-M 120 126
7-M 128 130
8-M 122 118
9-M 123 125
10-M 108 110
11-M 134 138
12-M 108 111
13-M 111 115
14-M 125 125
15-M 134 130
16-F 105 103
17-F 118 120
18-F 97 95
19-F 104 105
20-F 99 104
21-F 131 134
22-F 108 105
23-F 112 110
24-F 97 100
25-F 104 107
26-F 103 100
27-F 114 112
28-F 96 98
29-F 126 127
30-F 109 106

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