Question

The hourly fry output by Burger Prince’s fry machine is advertised to be 150 pounds. Testing a new machine for the drive-in for 22 different one-hour periods, the average production was143 pounds, with a standard deviation of 17 pounds. At a 5% level of significance, should Burger Prince management complain?

a. Write down the type of test

b. Write down the null and alternative hypotheses

c. Construct the test statistic

d. Conduct the test.

e. What do you conclude?

Answer 1

Solution :

a ) Given that

= 150

=143

S =17

n = 22

b ) This is the two tailed test .

The null and alternative hypothesis is ,

H0 :    = 150

Ha :     150

c ) Test statistic = t

= ( - ) / S / n

= (143-150) / 17 / 22

= -1.931

Test statistic = t = -1.931

d ) P-value =0.0670

= 0.05  

P-value >

0.0670 > 0.05

e ) Fail to reject the null hypothesis .

There is insufficient evidence to suggest that