From Unit 5 assignment the mean and the means and the confidence intervals for the resting heart for men and female are as shown in table one. The first sample in the table represents the male population while the second sample represents the female population.
Table 1: The calculated characteristics of men and women heart rate at rest
|
Two Population (mean) Statistics |
|||
|
First Sample |
Mean 1 |
80.4 |
|
|
First Sample |
Size 1 |
108 |
|
|
Second Sample |
Mean 2 |
81.8 |
|
|
Second Sample |
Size 2 |
92 |
|
|
Difference |
Mean Diff |
-1.4 |
|
|
Sample Standard Deviation 1 |
Stdev. 1 |
7.0725 |
|
|
Sample Standard Deviation 2 |
Stdev. 2 |
6.2688 |
|
|
Standard Error of Statistic |
SE |
0.943558 |
|
|
C I of Difference using z-scores |
|||
|
CL |
90% |
upper |
0.152 |
|
z |
1.645 |
lower |
-2.952 |
|
CL |
95% |
upper |
0.449 |
|
z |
1.96 |
lower |
-3.249 |
|
CL |
99% |
upper |
1.031 |
|
z |
2.576 |
lower |
-3.831 |
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Difference of the Means between the Two Populations At 95% Confidence Interval
At a 95% confidence interval the difference in the mean is between – 3.831 and 1.031. The best estimate of the difference in the mean and the means for the resting heart for men and female is 1.4 and the standard error is 1.879.
Difference of the Means between the Two Populations At 99% Confidence Interval
At a 99% confidence interval the difference in the mean is between – 1.078 and 3.878. The best estimate of the difference in the mean and the means for the resting heart for men and female at 99% confidence level is 1.4 and the standard error is 2.478.
Reasons for the Difference of the Two Means
From the calculation it can be deduced that men have slightly higher heart rate of between – 3.831 and 1.031 at 95% confidence level. The values are obtained from an average 1.4 with a standard error of 1.879. After the increment of the confidence level to 99%, it is still 99% certain that men have a higher heart rate at rest by an average of between – 1.078 and 3.878. The average best estimate is still 1.4 with an increased standard error of 2.478. The combination of the two findings indicates that there is a slight statistical significant difference in the two means of the heart rate of men and women at rest. The difference is brought about by the retention of the mean average difference at 1.4 and the variation in the standard errors from 1.879 to 2.478 at 95% and 90% confidence levels.
