Question

A yogurt company claims that their 8-oz low fat yogurt contains an average, at most, 150 calories per cup. A random sample of 10 cups produced a mean of 152.7 calories with a standard deviation of 7.38 calories. Test the yogurt company's claim with a 2.5% level of significance.

Answer 1

Solution :

= 150

=152.7

S =7.38

n = 10

This is the left tailed test .

The null and alternative hypothesis is ,

H0 :    = 150

Ha : < 150

Test statistic = t

= ( - ) / S / n

= (152.7-150) / 7.38 / 10

= 1.157

Test statistic = t = 1.157

P-value =0.8615

= 0.025  

P-value >

0.8615 > 0.025

Fail to reject the null hypothesis .

There is insufficient evidence to suggest that