Question

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 418 gram setting. It is believed that the machine is underfilling or overfilling the bags. A 48 bag sample had a mean of 417 grams. Assume the population standard deviation is known to be 19. Is there sufficient evidence at the 0.1 level that the bags are underfilled or overfilled?

Step 5 of 6 :  

Identify the level of significance for the hypothesis test.

Answer 1

Solution :

= 418

=417

=19

n = 48

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :    = 418

Ha :     418

Test statistic = z

= ( - ) / / n

= (417-418) / 18 / 48

= -0.36

Test statistic = z = -0.36

P-value =2 *0.3594 =0.7188

= 0.1

P-value >

0.7188 > 0.1

Fail to reject the null hypothesis .

There is insufficient evidence to suggest that