Final Term of Business Statistics 2015 (Question and Answer)


  1. [20%}

A pet food company has a business objective of expanding its product line beyond its current kidney and shrimp-based cat foods. The company developed a new product based on chicken liver. The company conducted an experiment to compare the new product and its two existing one in a supermarket chain. For the experimet, a sample of 30 cats from the population at a local animal shelther was selected. Ten cats were randomly assigned to each of 3 products being tested. The result for this experiment are summarized in the following table.

At the level of 0.05 level of significance, is there evidence of a difference in the mean amount of food eaten among the various products? If appropiate, which products appear to differ significantly in the mean amount of food eaten?


  1. [25%]

A company tha holds the DVD distribution rights to movies previosly released only in theathers wants to estimate sales revenue of DVDs based on box office success. The boc office gross (in $ million) for each of 22 movies in the year that they were released and the DVD revenue (in $ millions) in the following year are shown below.


For these data

  1. Assuming a linear relationship, use the least-squares method to determine the regression coefficient bo and b1
  2. Interpret the meaning of the slope, b1, in this problem
  3. Predict the sales revenue for a movie DVD that had a box office gross of $75 million


  1. [20%]

Two candidates for governor participated in a televised debate. A polotical pollster recorded the preferences of 500 registered voters in a random sample prior to and aftr the debate:


At the 0.01 level of significance, is there evidence of a difference in the proportion of voters who favored Candidate A prior and after the debate?


  1. [20%]

The Computer Anxiety Rating Scale (CARS) measures an individual’s level of computer anxiety, on a scale from 20 (no anxiety) to 100 (highest level of anxiety). Researchers at Miami University administered CARS to 172 business students. One of the objectives of the study was to determine whether there is a difference between the level of computer anxiety experienced by female students and male students. The found the following:


Males Females
50 40
S 15 20
n 150 60


At 0.05 level of significance, is there evidence of a difference in the variability of the computer anxiety experienced by males and females?

  1. [15%]

A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the package are labeled as 8 ounces, the company wants the packages to contain less than 8 ounces. A sample of 50 packaged is selected periodically, and the packaging process is stopped if there is evidence that the mean amount pacakaged is different from 8.17 ounces. Suppose that in a particular sample of 50 packages, the mean amount dispensed is 8.159 ounces, with a sample standard deviation of 0.051 ounce.

Is there evidence that the population mean amount is different from 8.17 ounces> (use a 0.01 level of significance)

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