# Hi square test of GOF

1.

A watch manufacturer creates watch springs whose properties must be consistent. In particular, the standard deviation in their weights must be no greater than 2.0 grams. Fifteen watch springs are selected from the production line and measured; their weights are 8, 3, 4, 8, 1, 4, 4, 9, 9, 2, 8, 4, 9, 7, and 7 grams. Assume = 0.01.

· State the null and alternate hypotheses

· Calculate the sample standard deviation

· Determine which test statistic is appropriate (chi-square or F), and calculate its value.

· Determine the critical value(s).

· State your decision: Should the null hypothesis be rejected?

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#### Solution Preview

Null hypothesis

1.

A watch manufacturer creates watch springs whose properties must be consistent. In particular, the standard deviation in their weights must be no greater than 2.0 grams. Fifteen watch springs are selected from the production line and measured; their weights are 8, 3, 4, 8, 1, 4, 4, 9, 9, 2, 8, 4, 9, 7, and 7 grams. Assume = 0.01.

· State the null and alternate hypotheses

· Calculate the sample standard deviation

· Determine which test statistic is appropriate (chi-square or F), and ...

#### Solution Summary

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.