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A market research firm supplies manufactures with estimates of the retail sales of their products from samles of retail stores. Marketing managers are prone to look at the estimates and ignore sampling error. An SRS of 75 stores this month shows mean sales of 52 units of a small appliance, with standard deviation 13 units. During the same month last year, an SRS of 53 stores gave mean sales of 49 units, with standard deviation of 11 units. An increase from 49 to 52 is a rise of 6%. The marketing manager is happy because sales went up 6%.
Q: Should the manager be happy about this improvement? Explain using a significance test.
B. Find a 95% confidence interval for the difference between this year and last year in the mean number of units sold at all retail stores and interpret the results.
Why is sampling strategy important? Please provide one or two examples from your work or past experience?
What is the null hypothesis? Use α =0.05. Compute critical value. Use α =0.05.
A baseball player hits 59 home runs during a season with 161 games. What is the empirical probability that the player would hit at least one home run during any given game of the season?
A movie theater owner wanted to know how many people hated commercial at the beginning of movies if less then 10% hated the commercials the he would leave them.
What are the assumptions underlying a normal distribution? What are the assumptions underlying a binomial distribution? Why do we want to assume that our sample data represent a population distribution?
The mean number of hours of flying time for pilots at Continental Airlines is 49 hours per month (The Wall Street Journal, February 25, 2003).
A demonstration to verify that an item meets its reliability requirement is based on obtaining 5 successful tests. If the probability of a successful test is 0.9, find the probability that 10 tests will be required to pass the demonstration.
A video rental store has two video cameras available for customers to rent. Historically, demand for cameras has followed this distribution:
Currently have to wait on line before the technician is able to answer their call. What is the average waiting time in the queue (in hours) before the technician answers a customer's call?
A sample of 10 urgent and non-urgent patients was conducted to determine average wait time. The hospital wants to be sure that urgent patients do not wait as long as non-urgent patients. The following hypotheses have been formulated.
What is the probability that a consumer selected at random: a. purchased fewer products than before? b. purchased the same number of products as before?
Hits on a personal web site occur quite infrequently. They occur randomly and independently with an average of five per week.
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