Question

In a sample of 45 adults, the mean assembly time for a child's swing set was 1.76 hours with a standard deviation of 0.79 hours. The makers of the swing set claim the average assembly time is less than 2 hours. Test their claim at the 0.01 significance level.

(a) What type of test is this?

This is a right-tailed test.

This is a two-tailed test.

This is a left-tailed test.

(b) What is the test statistic? **Round your answer to 2
decimal places.**

*t*_{x} =

(c) Use software to get the P-value of the test statistic.
**Round to 4 decimal places.**

P-value =

(d) What is the conclusion regarding the null hypothesis?

reject *H*_{0}

fail to reject
*H*_{0}

(e) Choose the appropriate concluding statement.

The data supports the claim that the mean assembly time is less than 2 hours.

There is not enough data to support the claim that the mean assembly time is less than 2 hours.

We reject the claim that the mean assembly time is less than 2 hours.

We have proven that the mean assembly time is less than 2 hours.

Answer #1

**Solution:**

(a) What type of test is this?

**Answer:** This is a left-tailed test. because the
claim is the average assembly time is less than 2 hours.

(b) What is the test statistic?

**Answer:**

The test statistic is:

(c) Use software to get the P-value of the test statistic.

**Answer:** Using the excel, we have:

Where:

2.04 is the absolute value of the test statistic

44 is the degrees of freedom

1 represents the one-tailed test.

(d) What is the conclusion regarding the null hypothesis?

**Answer: fail to reject H0 because the p-value is greater
than the significance level 0.01**

(e) Choose the appropriate concluding statement.

**Answer:** We reject the claim that the mean
assembly time is less than 2 hours.

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