Question

QUESTION 1

Are nursing hourly pay in Tampa, Florida lower than in Dallas, Texas? The data is shown below:

Tampa: sample mean = 39, sample standard deviation = 6.2, sample size = 42
Dallas: sample mean = 48, sample standard deviation = 6.3, sample size = 33

Provide the test statistics value for the analysis.

QUESTION 2

The director of a green energy company is interested in comparing two different methods of installing solar light panels. An experiment is conducted with 41 technicians using the old method and the other 46 technicians using the new method.

For the 41 technicians using the old method, the average time was 543 minutes with 77.9 standard deviation.
For the 46 technicians using the new method, the average time was 473 minutes with 100.2 standard deviation.

Conduct an analysis to determine whether there is a difference in the average time to complete the installation of the solar panels. Provide the degrees of freedom.

QUESTION 3

We are interested in studying whether Private Colleges costs at least $15,000 more than Public Colleges. This is to run an advertisement campaign to promote more high school students to consider public colleges to save at least $15,000 in tuition a year. See the excel file CollegeCosts for the random samples showing the annual cost of attending private and public colleges. Data are in thousands of dollars. What is the p-value for this hypothesis testing.

Hint: This is a challenging question. It is indeed a t-test 2 sample unequal variance question. But the hypothesized mean difference should have been “15” because the question wants to analyze: "We are interested in studying whether Private Colleges costs at least $15,000 more than Public Colleges.”
Since the data is in thousands, we would enter in 15 for the hypothesized mean difference.

Answer 1

Answer 1

Thus, the hypothesis test can be performed assuming equal variance.

At 0.05 significance level, there is enough evidence to conlcude that the average nursing hourly pay in Tampa, Florida lower than in Dallas, Texas.

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