Question

96 68 72 76 84 A physician wants to develop criteria for determining whether a patient's pulse rate is atypical, and she wants to determine whether there are significant differences between males and females. Use the sample pulse rates below. Male 76 72 76 72 720 Female 68 72 96 84 6088 76 124 a. Construct a 95% confidence interval estimate of the mean pulse rate for males. << (Round to one decimal place as needed.) b. Construct a 95% confidence interval estimate of the mean pulse rate for females. (Round to one decimal place as needed.) c. Compare the preceding results. Can we conclude that the population means for males and females are different? O A. No, because the two confidence intervals overlap, we cannot conclude that the two population means are different. OB. Yes, because the two confidence intervals do not overlap, we can conclude that the two population means are different OC. Yes, the population mean for females appears to be greater than the population mean for males. OD. Yes, the population mean for males appears to be greater than the population mean for females.

Answer 1

Mean (male)=$\bar{x_m}$=74.4

Standard Deviation (male)=$s_m$=8.475

Mean(Female)=$\bar{x_f}$=83.6

Standard Deviation (Female)=$s_f$=17.633

Degree of freedom=n-1=10-1=9

Critical value with 9 df and 95% confidence(tc)=1.83

a.) Confidence interval for males:

Im te* S a => 74.4 +1.83* 28.475 V10 => 74.4 + 4.90 => 69.5, 79.3) Hence 69.5<u < 79.3

b.) Confidence interval for Females:

Sf If Ite* 17.633 => 83.6 - 1.83* V10 => 83.6 + 10.204 => (73.40, 93.80) Hence 73.4 <u< 93.8

c.)

Ans:B.