Question

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 403 gram setting. Based on a 24 bag sample where the mean is 404 grams and the standard deviation is 14, is there sufficient evidence at the 0.05 level that the bags are overfilled? Assume the population distribution is approximately normal.

Step 4 of 5:

Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Reject H0 if t > ????

Answer 1

Solution :

The null and alternative hypothesis is ,

H0 :   = 403

Ha : > 403

= 404

s = 14

n = 24

degrees of freedom = n - 1 = 24 - 1 = 23

= 0.05  

P(t > t) = 0.05

= 1 - P(t < t) = 0.05  

= P(t < t) = 1 - 0.05

= P(t < t ) = 0.95

= P(t < 1.714 ) = 0.95

t > 1.714