XYZ company manufactures several food products including a popular brand of tortilla chips, and distributes them to retailers. As claimed on these bags, each bag has a net weight of 14.00 ounces. A representative of a consumer advisory group wishes to see if there is any evidence that the average net weight is less than that advertised.

The actual weights vary slightly from bag to bag and are normally distributed with mean. The representative randomly selects 15 bags of this brand and determines the net weight of each, which are given below.

12345678910111213141514.0113.9113.9414.0013.9413.9713.9213.9514.0213.9514.0114.0214.0113.9014.01Determine the sample mean, median and standard deviation.

Use these data to perform an appropriate test of hypothesis at 5% significance level.

(Remember to identify the null hypothesis and the one-sidedalternativehypothesis. Please show all work for full credit.)

A t-table is attached for your ready reference.

t-table

a) Sample Mean:

b) Sample Median:

c) Sample Standard Deviation:

d) One tail or two-tail test; explain your rationale.

e) Null Hypothesis:

f) Alternative Hypothesis:

g) Calculations:

h) Conclusion: