In: Statistics and Probability
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 447 gram setting. It is believed that the machine is underfilling the bags. A 39 bag sample had a mean of 441 grams. Assume the population standard deviation is known to be 24. A level of significance of 0.05 will be used. Find the P-value of the test statistic. You may write the P-value as a range using interval notation, or as a decimal value rounded to four decimal places.
We will test using the z-test for mean for known population standard deviation:
The p-value is calculated using excel using the formula:
NORM.DIST(-1.561,0,1,1)
Also since Ho is not rejected therefore we can conclude that the bag filling machine is working correctly .