Adata set includes 109 body temperatures of healthy adult humans for which x overbarxequals=98.2°f and s equals 0.62 degrees upper fs=0.62°f. complete parts (a) and (b) below. what is the best point estimate of the mean body temperature of all healthy humans? using the sample statistics, construct a 99% confidence interval estimate of the mean body temperature of all healthy humans. do the confidence interval limits contain 98.6degrees°f?

a. what does the sample suggest about the use of 98.6degrees°f as the mean body temperature?
b. what is the confidence interval estimate of the population mean μ?

Step-by-step explanation:

Given that a  data set includes 109 body temperatures of healthy adult humans for which sample mean =98.2°F and s equals 0.62 degrees

Std error of mean =

df = 108

Critical value for 99% t =2.581

Margin of error = 2.581*std error = 0.1533

99% confidence interval = Mean ±0.1533

=

a) Since the confidence interval does not contain 98.6 degrees we reject the null hypothesis that mean = 98.6 degrees

b) confidence interval for population mean = 98.6±0.1533

=

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation: