In: Statistics and Probability
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 447447 gram setting. It is believed that the machine is overfilling the bags. A 3131 bag sample had a mean of 455455 grams. Assume the population variance is known to be 900900. Is there sufficient evidence at the 0.10.1 level that the bags are overfilled?
Step 5 of 6:
Identify the level of significance for the hypothesis test.
Solution :
The null and alternative hypothesis is ,
H0 : = 447
Ha : > 447
Test statistic = z
= ( - ) / / n
= (455 - 447) / 30 / 31
= 1.48
This is the right tailed test,
P(Z > 1.48) = 1-P (Z < 1.48 ) = 1 - 0.9306
P-value = 0.0694
= 0.1
P-value <
Reject the null hypothes
There is sufficient evidence to suggest that the bags are overfilled