Question

4. A candy manufacturer claims that each bag of their M&M-like chocolate-covered peanuts contains at least 9 red chocolate-covered peanuts. A sample of 25 bags of these peanuts yields an average of 8 red chocolate covered peanuts with a sample standard deviation of 0.7.

Test their claim at a 5% significance level. (State the null and alternative hypotheses. Be sure to clearly state the “rejection region” for the test, and state your conclusion in words.)

Answer 1

Solution :

= 9

=8

S = 0.7

n = 25

This is the right tailed test .

The null and alternative hypothesis is ,

H0 :    = 9

Ha : > 9

Test statistic = t

= ( - ) / S / n

= (8-9) /0.7 / 25

= -7.143

Test statistic = t = -7.143

P-value =0.9999

= 0.05  

P-value >

0.9999 > 0.05

Fail to reject the null hypothesis .

There is insufficient evidence to suggest that