4

ZUBRAK Inc., sells licenses for new office management system, and advertises that businesses using the product and service will obtain, on average during the first year, a yield exceeding 7.7% on their initial investments. A random sample of 36 of these businesses produced the information on yields, averaging 8.4% with a standard deviation of 1.486% for the first year of operation. The analyst intended to use the data to test if there is sufficient evidence to support the advertiser's claim.What will be the p-value of the test against appropriate alternative?Assume that the distribution of yield is normal.

5

The correlation between monthly sales and advertisement cost for a product in 24 sales centers was found to be 0.45. Find the p-value for testing the direct relationship between these two quantities.

The table below shows a partial computer output for a real estate data for 50 residences that we wish to determine how house size is influenced by family income, family size, and education of the head of household. House size is measured in hundreds of square feet, income is measured in thousands of dollars, and education is measured in years.

6.

SUMMARY OUTPUT

Regression Statistics
Multiple R	0.865
Adjusted R Square	0.726
Standard Error	5.195

Coeff.

St. Error

Intercept

-1.6335

5.8078

Family Income

0.4485

0.1137

Family Size

4.2615

0.8062

Education

-0.6517

0.4319

Test for the overall significance of the model and report the value of the relevant test statistic.