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Answer:
a) 66.1 < μ < 82.7
b) 71.9 < μ < 97.7
c) D. No, because the two confidence intervals overlap, we cannot conclude that the two population means are different.
Step-by-step explanation:
Confidence interval is given by the formula
M±t×() where
- M is the sample mean
- t is the corresponding t value for 95 confidence level
- s is the sample standard deviation
- N is the sample size
<u>a. Construct a 95% confidence interval estimate of the mean pulse rate for males.</u>
For men:
M=74.4 t=2.262 s=11.6207 N=10 then confidence interval is:
74.4±2.262×() ≈ 74.4±8.3
<u>b. Construct a 95% confidence interval estimate of the mean pulse rate for females.</u>
For women:
M=84.8 t=2.262 s=18.0488 N=10 then confidence interval is:
84.8±2.262×() ≈ 84.8±12.9
<u>c. Compare the preceding results. Can we conclude that the population means for males and females are different?</u>
Difference of Population means for males and females are not statistically significant, since confidence intervals overlap.
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