marketing research firm is conducting a study to determine if there is a relationship between an individual age and individuals preferred source of news.

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13.21 A marketing research firm is conducting a study to determine if there is a relationship between an individual age and individuals preferred source of news.  The research firm asked 1,000 individuals to list their preferred source for news: newspaper, radio and television, or the internet.  The following results were obtained:

Preferred News Source                Age respondent

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20-30     31-40     41-50     Over 50

Newspaper        19           62           95           147

Radio/TV             27           125         168         88

Internet               104         113         37           15

 

At the 0.01 level of significance, can the marketing research firm conclude that there is a relationship between age of the individual and the individual’s preferred source for news?

13.41 Cooper Manufacturing, Inc. of Dallas, Texas, has a contract with the U.S. Air Force to produce a part for a new fighter plane being manufactured.  The part is a bolt that has specifications requiring that the length be normally distributed with a mean of 3.05 inches and a standard deviation of 0.015 inch.  As part of the company’s quality-control efforts, each day Cooper’s engineers select a random sample of 100 bolts produced that day and carefully measure the bolts to determine whether the production is within specifications.  The following data were collected yesterday:

Length (inches) Frequency

Under 3.030       5

3.030 and under 3.035    16

3.035 and under 3.040    7

3.040 and under 3.050    20

3.050 and under 3.060    36

3.060 and under 3.065    8

3.065 and over  8

Based on these sample data, what could Cooper’s engineers conclude about the production output if they test using an α=0.01? Discuss.

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