Question

A data set includes 103 body temperatures of healthy adult humans for which x= 98.1 and s = 0.56.

a.) what is the best point estimate of the mean body temperature of all healthy humans?

the best point estimate is =

b.) 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 98.6?

what does the sample suggest about the use of 98.6 as the mean body temperature?

what is the confidence interval estimate f the population mean ?? round to three decimal places. show work.

< ? <

do the confidence inteval limits contain 98.6?

Answer 1

98.1, No does not contain, yes contains.

Explanation:

Given that

sample size n =103

Sample mean = 98.1

sample std dev s = 0.56

a) the best point estimate of the mean body temperature of all healthy humans = sample mean =98.1

b) 99% confidence interval estimate of the mean body temperature of all healthy humans

We can use Z critical since sample size is large though sigma is not known

99% CI =
`(98.1-(0.56)/(√(103) ),98.1+(0.56)/(√(103) ) )\\=(98.045, 98.155)`

This does not contain 98.6

This sample does not represent the population, i.e. may be biased sample.

c) CI of population mean

= populaiton mean + /- margin of error

=(98.545, 98.656)

Yes contains 98.6