The proportion of individuals insured by the All-Driver Automobile Insurance Company who received at least one traffic ticket during a five-year period is 0.15. (a) Show the sampling distribution of p if a random sample of 180 insured individuals is used to estimate the proportion having received at least one ticket.

The proportion of individuals insured by the All-Driver Automobile Insurance Company who received at least one traffic ticket during a five-year period is 0.15. (a) Show the sampling distribution of p if a random sample of 180 insured individuals is used to estimate the proportion having received at least one ticket.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A sign in the elevator of a college library indicates a limit of 16 persons. In addition, there is a weight limit of 2,500 pounds. Assume that the average weight of students, faculty, and staff at this college is 155 pounds, that the standard deviation is 27 pounds, and that the distribution of weights of individuals on campus is approximately normal. A random sample of 16 persons from the campus will be selected. (a) What is the mean of the sampling distribution of x? μx = (b) What is the standard deviation of the sampling distribution of x? σx = (c) What average weights (in pounds) for a sample of 16 people will result in the total weight exceeding the weight limit of 2,500 pounds? The average weight of 16 persons needs to be greater than lbs to exceed the weight limit of the elevator. (d) What is the probability that a random sample of 16 people will exceed the weight limit? (Use a table or technology. Round your answer to four decimal places.)
The Institute for College Access and Success reported that 67% of college students in 2008 graduated with student loan debt. A random sample of 85 graduates is drawn. a) Find the mean of the sampling distribution. b) Find the standard deviation of the sampling distribution. c) Find the probability that less than 60% of the people in the sample were in debt. d) Find the probability that more than 75% of the people in the sample were in debt.
The proportion of students at a large high school who live within five miles of the school is p = 0.19. The principal takes a random sample of 17 students from this school. Which is the best description of the shape for the sampling distribution of ? The sampling distribution of is approximately Normal because . Because , the sampling distribution of is not approximately Normal. The sampling distribution of is skewed left and centered at 0.81. Because , the sampling distribution of is not approximately Normal. Because p = 0.19 is closer to 0 than 1, the sampling distribution of is skewed to the left. Because , the sampling distribution of is not approximately Normal. Because p = 0.19 is closer to 0 than 1, the sampling distribution of is skewed to the right.
A random sample of n1 = 300 voters registered in the state of California showed that 143 voted in the last general election. A random sample of n2 = 216 registered voters in the state of Colorado showed that 130 voted in the most recent general election. Do these data indicate that the population proportion of voter turnout in Colorado is higher than that in California? Use a 5% level of significance.
1.)Every year, more than 100 , 000 testers take the Law School Admission Test (LSAT). One year, the scores had a mean and standard deviation of approximately 151and 9 points, respectively. Suppose that in the scoring process, test officials audit random samples of 36 tests, Calculate the mean and standard deviation of the sampling distribution of sample mean.
A sampling distribution (dotplot) for the mean quiz score for a sample n = 30 of STAT101 students is shown below. It was constructed using random samples from population data. Estimate the standard error of the sample mean using the sampling distribution.
Five gentlemen went to Molesky's restaurant for all-you-can-eat wings. Mr. Andreasen ate 6 wings, Mr. Betz ate 24 wings, Mr. Henricksen ate 18 wings, Mr. Osters ate 20 wings, and Mr. Tyson ate 32 wings. (a) List all 10 possible SRSS of size n = 2, calculate the mean number of wings eaten for each sample, and display the sampling distribution of the sample mean on a dotplot. (b) is the sample mean an unbiased estimator of the population mean? Justify your answer.
Five gentlemen went to Molesky's restaurant for all-you-can- eat wings. Mr: Andreasen ate 6 wings, Mr: Betz ate 24 wings, Mr: Henricksen ate 18 wings, Mr: Osters ate 20 wings, and Mr: Tyson ate 32 wings. (a) List all 10 possible SRSs of size n = 2, calculate the mean number of wings eaten for each sample, and display the sampling distribution of the sample mean on a dotplot: (b) Is the sample mean an unbiased estimator of the population mean? Justify your answer: (c) If we increase the sample size, does the variability of the sampling distribution change? Explain.
Suppose the true proportion of voters in the county who support a specific candidate is 0.48. Consider the sampling distribution for the proportion of supporters with sample size n = 177. What is the mean of this distribution? What is the standard error (i.e. the standard deviation) of this sampling distribution, rounded to three decimal places?
A manufacturer claims that only 2% of their products are defective. A store receives a delivery of 300 items from the manufacturer. Let p-hat = the proportion of defective items in a sample of 300 items. Assuming the manufacturer is correct that only 2% of their products are defective, what are the mean and standard deviation of the sampling distribution of p-hat ? Options: The mean is 0.02 and the standard deviation is 0.008. The mean is 6 and the standard deviation is 2.42. The mean is 6 and the standard deviation is 5.88. The mean is 0.02 and the standard deviation is 0.196.
Suppose the true proportion of voters in the county who support a school levy is 0.61. Consider the sampling distribution for the proportion of supporters with sample size n = 187.What is the mean of this distribution? What is the standard error (i.e. the standard deviation) of this sampling distribution, rounded to three decimal places?
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