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Gastwirth describes a court case in which Bristol Myers was ordered by the Federal Trade Commission to stop advertising that "twice as many dentists use Ipana as any other dentifrice" and more dentist recommended it than any other dentifrice. Bristol Myers had based its claim on a survey of 10,000 random selected dentists from list of 66,000 subscribers to two dental magazines. They received 1,983 responses, with 621 saying they used Ipana and only 258 reporting that they used the second most popular brand. As for the recommendations, 461 respondents recommended Ipana, compared with 195 for the second most popular choice.
a. Specify the sampling frame for this survey, and explain whether or not you think "using the wrong sampling frame" was difficulty here, based on what Bristol Myers was trying to conclude. List all difficulties and which do you think was most serious in this case.
b. What could Bristol Myers have done to improve the validity of the results after they had mailed the 10,000 surveys and received 1,983 back? Assume they kept record of who had responded and who had not.
A study to see how well marital dissolution was predicted by the personality scores of husbands and wives was published in the Journal of Personality and Social Psychology.
A recent study of the USA births showed the average birth weight of a male was 8 lbs.; the average weight of a female newborn was 7.4 lbs.
In each of the following situations, the sampling frame does not match the population, resulting in undercoverage. Give examples of population members that might have been omitted:
The table given below shows joint probability distribution of X and Y . Determine the covariance between the X and Y ?
An orange juice producer buys all their oranges from one particular orchard. The amount of juice from the oranges is approximately normally distributed with a mean of 152 ml. and a standard deviation of 41 ml.
It is estimated that 2% of the athletes competing in a large tournament are users of an illegal drug to enhance performance. The test for this drug is 95% accurate. What is the probability that an athlete who tests positive is actually a user?
In the belief that Statistics is too hard, a student claims that the mean score on a final exam is less then 70. 15 scores will be chosen at random to test this claim.
An experiment is set to test the hypothesis that a given coin is unbiased. The decision rule is the following: Accept the hypothesis if the number of heads in a sample of 200 tosses is between 90 and 110 inclusive, otherwise reject the hypothesis.
Test for significant differences among weight losses for the five diets, and perform all pair wise comparisons using:
The weights of the 100 boys in the Boy Scout Troop 829 are normally distributed with a mean of 170 pounds and a standard deviation of 5 pounds.
Same survey showed that average length of time each store was in business in 6 years, with standard deviation of 2.5 years. Which is more variable, number of magazines or number of years?
Find the percentage of such males that weigh between 190 and 210 lb. (Note: Make sure you choose the flag value closest to 190 and 210.) Give the proportion as a decimal rounded to thousandths.
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