Question

The fun size snickers weigh 20 grams. The M&M-Mars company calibrated their machines to make bars at 20.1 grams just to be safe. The manufacturer is concerned however, that the bars still do not weight 20.1 grams She takes a sample of 11 bars. The average weight was 20.3 grams and a sample standard deviation of 0.64 grams. Test the claim that the snicker bars do not have a mean weight of 20.1 grams. Test the claim at = 0.01 (Please use all procedures for the hypothesis)

Answer 1

Solution :

This is two tailed test.

The null and alternative hypothesis is ,

H0 :   = 20.1

Ha : 20.1

Test statistic (t) =

= ( - ) / s / n

= (20.3 - 20.1) / 0.64 / 11

Test statistic = 1.04

P-value = 0.3244

= 0.01

P-value >

Fail to reject the null hypothesis .

There is not sufficient evidence to support the claim that the snicker bars do not have a mean weight of 20.1 grams