Question

Suppose a one sample t-test has a sample mean of 43.61, a sample standard deviation of 4.80, a sample of size 65, and a critical t* of 1.998. The upper endpoint (to one decimal point) of the confidence interval for the mean is 44.8.

True or FALSE

Answer 1

Solution :

Given that,

Point estimate = sample mean = = 43.61

sample standard deviation = s = 4.80

sample size = n = 65

t/2,df = 1.998

Margin of error = E = t/2,df * (s /n)

= 1.998 * ( 4.80 / 65)

Margin of error = E = 1.19

The upper confidence interval estimate of the population mean is,

+  E  

= 43.61 + 1.19 = 44.8

True