Question

Directions: Use the acronym PANIC to find the confidenceintervals.1.An SRS of 60 women showed that the average weight of a purse is 5 pounds with a standard deviation of 1.2 pounds. Find the 90% Confidence Interval for the actual average weight of purses.

Answer 1

90% Confidence Interval for the actual average weight of purses.

(4.7412 , 5.2588)

Explanation:

Explanation:-

Given sample size 'n' = 60

mean of the sample x⁻ = 5 pounds

Standard deviation of the sample 'S' = 1.2 pounds

Level of significance = 0.10

90% Confidence Interval for the actual average weight of purses.

`(x^(-) - t_{(\alpha )/(2) } (S)/(√(n) ) , x^(-) +t_{(\alpha )/(2) } (S)/(√(n) ) )`

`(5 - 1.6711(1.2)/(√(60) ) , 5 +1.671(1.2)/(√(60) ) )`

( 5 - 0.2588 , 5 + 0.2588)

90% Confidence Interval for the actual average weight of purses.

(4.7412 , 5.2588)