Question

Rolls of paper are acceptable for making bags for grocery stores if the mean breaking strength...

  1. Rolls of paper are acceptable for making bags for grocery stores if the mean breaking strength is more than 40 psi. A manufacturer has proposed a process to manufacture grocery bags from recycled paper. A test of 25 paper samples from the proposed process has a mean breaking strength of 40.93 psi and a standard deviation of 2.25 psi. Is there sufficient evidence to conclude the new process is suitable for manufacturing grocery bags. Use a=.05.

Homework Answers

Answer #1

Solution :

This is the right tailed test .

The null and alternative hypothesis is ,

H0 :   = 40

Ha :    40

= 40.93

= 40

s = 2.25

n = 25

df = n - 1 = 25 - 1 = 24

Test statistic = t

= ( - ) / s / n

= (40.93 - 40) / 2.25 / 25

= 2.07

Test statistic = 2.07

P-value = 0.0247

= 0.05

P-value <

Reject the null hypothesis .

There is sufficient evidence to conclude the new process is suitable for manufacturing grocery bags .   

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