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For each of the following, if the scenario fits the conditions for the approximate normality of the sampling distribution for a sample proportion, describe the sampling distribution of P^ and draw a picture of it. If the scenario doesn't fit, explain why not (in which case you do not have the tools to describe the sampling distribution of P^).
a. An auto insurance company has 1500 customers in a city, and over the long run, 6% of them will file a claim in any given year. Define P^ to be the proportion who file a claim in the next year.
b. A dean has found that over the years, about 15% of students who begin their college work in her program do not finish. This year, 90 students will begin her program; define P^ to be the proportion who will finish.
c. An essay contest has three winners, but the number of entrants varies each time that it is offered, so the proportion of entrants who are winners also varies. Define P^ to be the proportion of entrants who will be winners the next time that the contest is offered.
Refer to Data Set 1 in Appendix B and use the sample data with Excel and/or SPSS to accomplish the following: Construct a 99% confidence interval estimate of the mean body mass index for men. Construct a 99% confidence interval estimate of the mean b..
Determine whether there are differences in the means of the number of cereal leaf beetles, in terms of colour preference, based on the numbers trapped on the different coloured boards.
IQ score in this sample is . If the organization's claim is correct, what is the probability of having a sample mean of or less for a random sample of this size?
The production department wants to explore the relationship between the number of employees who assemble a subassembly and the number produced. The complete set of paired observations follows:
Jolie takes 45 minutes to do her statistics homework. If the mean is 38 minutes and the standard deviation is 3, calculate Jolie's z score. Once calculated, interpret your findings in terms of Jolie's performance.
a research firm tests the miles-per-gallon characteristics of three brands of gasoline. because of different gasoline
In a study relating the amounts of time required for room service delivery at a newly openedRadissonHotel, 20 deliveries had a mean time of 24.2 min and a standard deviation of 8.7 min. The sample data appears to have a bell-shaped distribution. F..
The one time fling. Have you ever bought the article of clothing (dress, sports jacket, etc.) worn item once to a party, and then returned purchase?
Prove that Kendall's coefficient of concondance (Eq. 8.6) is given by
If an auditor takes a random sample of 36 accounts what is the probability that the mean balance will be less than 45?
A nationwide real estate company claims that its average time to sell a home is 57 days. Suppose it is known that the standard deviation of selling times is 12.3 days and that selling times are normally distributed.
For the following population of N=10 scores 14,6,8,3,9,12,1,6. Draw the histogram showing population distribution. Locate value of population mean in your sketch and make estimate of standard deviation.
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