# Hypothesis Testing of Sprinklers

I need some help reviewing the sample problem below:

Sprinkler Systems. A manufacturer of sprinkler systems designed for fire protection claims that the average activating temperature is at least 135 degrees F. To test this claim, you randomly select a sample of 32 systems and find the mean activation temperature between 133 degrees F with a standard deviation of 3.3 degrees F. At a level of significance of 0.10, do you have enough evidence to reject the manufacturers claim?

You need to do the following:

• Post the statement of this problem.

• Discuss the importance of obtaining a random sample.

• Identify the claim and state Ho and Ha.

• State the level of significance.

• Discuss the possibility of a Type I or Type II error.

On a separate page you need to do the following:

• Copy and paste the statement of the problem and your Ho and Ha from the previous page.

• Find the test statistic.

• Find the p-value.

• Decide whether to reject the null hypothesis.

• Interpret the decision in the context of the original claim.

https://brainmass.com/statistics/type-i-and-type-ii-errors/hypothesis-testing-sprinklers-577820

#### Solution Preview

Solution:

• Post the statement of this problem.

The average activating temperature is at least 135 degrees F.

• Discuss the importance of obtaining a random sample.

It is hard to get the whole population.

• Identify the claim and state Ho and Ha.

Ho: The average activating temperature is at least ...

#### Solution Summary

This solution consists of details of using one sample t-test to test the claim that the average activating temperature is at least 135 degrees F.