# Hypothesis testing

Please help with the following problem. Please provide step-by-step calculations for the following problem in both Word and Excel.

A machine is set to fill a bottle with 9 grams of medicine. A sample of 8 recently filled bottles revealed the following grams of medicine: 9.2, 8.7, 8.9, 8.4, 8.3, 8.5. Using a One Sample t Test, answer the following questions.

This is what I have so far.

N=6

Df = n-1 (6-1=5)

T critical = 2.015 ( )

Mean = 8.67

Stdev = 0.34

p-value = 0.304

p-value > 0.05 - the null hypothesis is accepted.

T Calculated =

So, because t calculated is negative, this indicates a left tail test, yes? If so, does t critical become - 2.015??

And what does my hypothesis statement look like for this one tail test?. Is it:

Or is it

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#### Solution Summary

The following posting helps with a hypothesis testing problem. Step by step method for testing the hypothesis under 5 step approach is discussed here. Excel template for each problem is also included. This template can be used to obtain the answers of similar problems.