A local juice manufacturer distributes juice in bottles labe

A local juice manufacturer distributes juice in bottles labeled 12 ounces. A government agency thinks that the company is cheating its customers. The agency selects 20 of these
bottles, measures their contents, and obtains a sample mean of 11.7 ounces with a standard deviation of 0.7 ounce. Use a 0.01 significance level to test the agency\'s claim that the company is cheating its customers.

P-Value = __________

Decision = ___________

Please show the steps using a TI - 83 calculator. Thanks

Solution

Go to

[STAT][TESTS][T-Test][Stats]

Input:

uo = 12
xbar = 11.7
s = 0.7
n = 20

Select u < uo

Press ENTER.

DONE!

***************

So,

P value = 0.035225375

Decision: As P > 0.01, WE FAIL TO REJECT THE NULL HYPOTHESIS. [ANSWER]