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A Statistical Tutorial Centre has been designed to handle a maximum of 25 students per day. Suppose that the number X of students visiting this centre each day is a normal random variable with mean 15 and variance 16.
Part a) What is the return period for this centre rounded to the nearest day?
Part b) What is the probability that the "design" number of visits will not be exceeded before the 10th day? Leave your answer in 3 decimal places.
The average height of american woman is distributed normally, with a mean of 63.5 inches and a standard deviation 2.5 inches. Approximately what percentage of american women are taller than 58.5 inches,
Environmental Protection Agency (EPA) fuel economy estimates for automobile models tested recently predicted a mean of 24.80 mpg and a standard deviation of 6.2mpg for highway driving. Assume that a normal model can be applied.
A sample of 420 families revealed the following. At the 0.05 significance level, is there a difference in the proportion of customers that prefer each day of the week?
The price of XYZ Corporation stock is normally distributed all through the year with mean of $42.00 per share and a standard deviation of $2.25 per share. Suppose that the stock is traded 240 days out of the year.
Ms Lisa is the budget director for the New Process Company. She would like to compare the daily travel expenses for the sales staff and the audit staff. She collected the following sample info:
a large consumer goods company ran a television advertisement for one of its soap products. on the basis of a survey
In a pilot study, five kids are given several problems of each type to practice (and then tested on three problems), in one of the three Sequences: D-R-T, T-D-R, OR R-T-D.
What is the research hypothesis? Should you conduct a one-or two tailed test? Why?
Drawing on one of your interests in the study of criminal justice, develop three hypotheses that can be tested using t-tests. Why do you think it would be interesting or important to test these hypotheses?
A pH level of the soil between 5.3 and 6.5 is optimal for strawberries. To measure the pH level, a field is divided into two lots. In each lot, we randomly select 20 samples of soil.
weekly commodity prices for heating oil in cents were obtained for a period of 30 weeks and regresses against time.
Determine the point estimate and 95% confidence interval for the mean family dental expenses of all employees of the company.
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