Question

Find the confidence interval for the given values of ?, ?, ?⎯⎯⎯, and confidence level.

?=2.1, ?=30, ?⎯⎯⎯=4.5, confidence = 0.92

Enter your answer by filling in the blanks ( ____ , ____ ). Round final answers to 2 decimal places.

Answer 1

Solution

Given that,

= 4.5

= 2.1

n = 30

At 92% confidence level the z is ,

  = 1 - 92% = 1 - 0.92 = 0.08

/ 2 = 0.08 / 2 = 0.08

Z_/2 = Z_0.04 = 1.751

Margin of error = E = Z_/2* (/n)

= 1.751 * (2.1 / 30 )

= 0.67

At 92% confidence interval estimate of the population mean is,

- E < < + E

4.5 - 0.67 < < 4.5 + 0.67

3.83 < < 5.17

(3.83 , 5.17)