Question

A sample of size = n 43 has sample mean = x 53.6 and sample standard deviation = s 9.1 . Part: 0 / 2 0 of 2 Parts Complete Part 1 of 2 Construct a 90 % confidence interval for the population mean μ . Round the answers to one decimal place. A 90 % confidence interval for the population mean μ is

Answer 1

GIVEN:

Sample size ​​​​​​

Sample mean

Sample standard deviation

TO FIND:

90% confidence interval for the population mean

FORMULA:

The formula for 90% confidence interval for the population mean is,

where is the t critical value with degrees of freedom.

CRITICAL VALUE:

The t critical value with degrees of freedom at significance level is .

CALCULATION:

The 90% confidence interval for the population mean is,

The 90% confidence interval for the population mean is .