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

=

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: