Question

The producer of a certain medicine claims that its bottling equipment is very accurate and that the standard deviation of all its filled bottles is 0.1 ounce or less.

A sample of 20 bottles showed a standard deviation of .11.

The test statistic to test the claim is _____.

a. 20
b. 22.99
c. 4.85
d. 400

Answer 1

x^2 = 22.99

Explanation:

Given data:

standard deviation of all filled bottles = 0.1

overall hypothesis is significant at
`\sigma = 0.1`

for test statistics, use chi-square test

`x^2 = ((n-1) s^2)/(\sigma^2)`

where

n - sample size

s =simple deviation

`x^2 =((20-1)0.011^2)/(0.1^2)`

`x^2 =  22.99`