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

Respuesta :

Answer:

x^2 =  22.99

Step-by-step explanation:

Given data:

standard deviation of all filled bottles = 0.1

overall hypothesis is significant at[tex] \sigma = 0.1[/tex]

for test statistics, use chi-square test

[tex]x^2 = \frac{(n-1) s^2}{\sigma^2}[/tex]

where

n - sample size

s =simple deviation

[tex]x^2 =\frac{(20-1)0.011^2}{0.1^2}[/tex]

[tex]x^2 =  22.99[/tex]