Question

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

Answer 1

Answer:

98.1, No does not contain, yes contains.

Step-by-step 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 = $(98.1-\frac{0.56}{\sqrt{103} },98.1+\frac{0.56}{\sqrt{103} } )\\=(98.045, 98.155)$

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