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# Hypothesis Test Description

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A. Describing a new hypothesis test using a different statistic (e.g., large sample size, small sample size, means and/or proportions, one-and two-tailed tests) that you can perform on that data.

b. Formulate a new hypothesis statement.

c. Perform the five-step hypothesis test on your data. ( I WILL DO)

d. Finally, describe the results of your test, and compare the results to the results of the test performed for your previous Hypothesis Testing Paper. ( I WILL DO )

#### Solution Preview

A previous study on the data provided by the American Community Survey (ACS), was created to prove the hypothesis, the higher the income above the mean (for American families), the farther below the mean was the commute time. According to the previous study, increased household income offers a better range of choices for the American family when considering where to live. Many choose to live in areas that lower commute times to and from work. This considered to improve the quality of life of those who can afford it (King, 2006). Since Americans spend more time than normally used in a two week vacation each ...

#### Solution Summary

Using previously used data, a new hypothesis test using the same data. In this case, an increased sample test is described.

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## Description of Hypothesis Testing: Five step method T test

A vinyl siding company claims that the mean time to install siding on a medium-size house is at most 20 hours with a standard deviation of 3.7 hours. A random sample of 40 houses sided in the last three years has a mean installation time of 20.8 hours. At the 0.05 significance level, can a claim be made that it takes longer on average than 20 hours to side a house?

a. State the null and alternate hypotheses.

Ho:
H1:

b. State the decision rule

c. Compute the value of the test statistic.

d. Formulate the decision rule.

e. What is your decision regarding the null hypothesis? Interpret the result.

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