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1) Best Electronics Inc. offers a "no hassle" returns policy. The number of items returned per day follows the normal distribution. The mean number of customers returns is 10.3 per day and the standard deviation is 2.25 per day.
a. In what percent of the days are there 8 or fewer customers returning items?
b. In what percent of the days are between 12 and 14 customers returning items?
c. Is there any chance of a day with no returns?
2) The weights of canned hams processed at Henline Ham Company follow the normal distribution, with a mean of 9.20 pounds and a standard deviation of .25 pounds. The label weight is given as 9.00 pounds
a. What proportion of the hams actually weigh less than the amount claimed on the labe?
b. The owner, Glen Henline, is considering two proposals to reduce the proportion of hams below label weight. He can increase the mean weight to 9.25 and leave the standard deviation the same, or he can leave the mean weight at 9.20 and reduce the standard deviation from .25 pounds to .15. Which change would you recommend?
Compute average daily rainfall in the week and for weekends. Get the average of weekdays' rainfalls and average of weekend's rainfalls.
Examine the residual files and produce appropriate residual plots to examine the assumptions. Are the Level-1 residuals normally distributed? Are the level-2 residuals multivariate normal? How do you know?
A wholesaler assures retailer replacement times for TVs normally dist. with mean of 8.2 and s.d. of 1.1. The retailer finds that a random sample of 20 sets from the wholesaler have mean replacement time of 7.6 years.
Be sure to include information about how you would use the concept of probabilities to apply to profiles for hiring more satisfied individuals.
David Gallano, a wine merchant, has collected opinions on grape wine quality from a sample of his customers. These customers tasted wine made from grapes grown in three regions of the country.
I want to estimate within $10 the mean salary of all graduates who were business majors in college. How many business majors would be needed to estimate the mean salary to within 10 with 95% confidence if the population standard deviation is $200.
A computer password consists of four characters. The characters can be one of the 26 letters of the alphabet. Each character may be used more than once. How many different passwords are possible?
To test this notion, eight paid volunteers were placed (individually) in a room in which there was no light from the outside and no clocks or other indications of time.
Define validity and reliability. How can we insure our data is both reliable and valid? Which of these two do you think is the more important?
Suppose a simple random sample of 20 non-English student have an average math score on the SAT exam of 528. What are the appropriate hypotheses?
What can we say about the form or way of the distribution of the average or median of the sample?
Sample data was collected in a study of calcium supplements and their effects on blood pressure. A placebo group and a calcium group began the study with blood pressure measurement.
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