A study by Allstate Insurance Co. finds that 82% of teenagershave used cell phones while driving (The Wall Street Journal,May 5, 2010). Suppose a random sample of 100 teen drivers istaken.Page 265a. Discuss the sampling distribution of the sampleproportion.b. What is the probability that the sample proportion is lessthan 0.80?C. What is the probability that the sample proportion is within+0.02 of the population proportion?

Answered: Image /qna-images/answer/9fe49e52-3b27-4107-8892-02e2f3938a8e.jpg

Answered: A study by Allstate Insurance Co. finds…

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. Construct the sampling distribution of the sample Means and answer the questions that follow: A jar contains number 1, 2, 3 and 4. Construct the sampling distribution of the sample means when two numbers are taken from the jar with replacement. 1. What is the probability that the mean of the number is 2.5? 2. What is the probability that the mean of the numbers is less than 2? 3. What is the probability that the mean of the numbers is greater than 1.5? 4. What is the probability that the mean of the numbers is between 1.5 and 5. Construct the histogram of the sampling distribution.
According to a 1998 poll conducted by Gallup of 5000 people, 32% of Americans fear putting their head beneath water. Let p̂ be the proportion of people who fear putting their head beneath water. a. What is the mean of the sampling distribution of p̂? b. Find the standard deviation of the sampling distribution of p̂. Round to the nearest thousandth. c. Find the probability of selecting a sample of 5000 people in which between 30% and 36% of people fear putting their head beneath water.
Elijah and Tyler, two high school juniors, conducted a survey on 15 students at their school. They asked the students whether they would like the school to offer an afterschool art program, counted the number of "yes" answers, and recorded the sample proportion. 14 out of the 15 students responded "yes". They repeated this 100 times and created a distribution of sample proportions. Would you expect the shape of this distribution to be symmetric? A. Yes because np>10np>10 and n(1−p)>10n(1-p)>10 B. No because np>10np>10 and n(1−p)>10n(1-p)>10 C. No because np>10np>10 but n(1−p)<10n(1-p)<10 D. Yes because np>10np>10 but n(1−p)<10
IV. SAMPLING AND SAMPLING DISTRIBUTIONS a. Assume that the average weight of an NFL player is 245.7 pounds with a standard deviation of 34.5 pounds, but the probability distribution of the population is unknown. b. If a random sample of 32 NFL players is selected, what is the probability that the average weight of the sample will be less than 234 pounds.
The average price of a college math textbook is $178 and the standard deviation is $24. Suppose that 6 textbooks are randomly chosen. Round all answers to 4 decimal places if necessary. a. What is the distribution of x? b. For the group of 6, find the probability that the average price is between $176 and $187. c. Find the first quartile for the average textbook price for this sample size. $ (round to the nearest cent)
A sample of 100 adult women was taken, and each was asked how many children she had. The results were as follows: Children 0 1 2 3 4 5 Number of Women 27 22 30 12 7 2 a. Find the sample mean number of children. b. Find the sample standard deviation of the number of children. c. Find the sample median of the number of children. d. What is the first quartile of the number of children? e. What proportion of the women had more than the mean number of children? f. For what proportion of the women was the num- ber of children more than one standard deviation greater than the mean? g. For what proportion of the women was the num- ber of children within one standard deviation of the mean?
You are given the following parameters/numerical descriptions for a distribution: mean = 51, median = 51, standard deviation = 13, and coefficient of variation = 0.26. Which of the following is true about the distribution? a. This distribution is uniform. b. This distribution is right-skewed. c. This distribution is symmetric. d. This distribution is left-skewed. e. None of these
The average price of a college math textbook is $172 and the standard deviation is $28. Suppose that 13 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of a? N( b. For the group of 13, find the probability that the average price is between $171 and $183. c. Find the first quartile for the average textbook price for this sample size. S (round to the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? O YesO No
a. The standard deviation of 25 scores is 10, the mean is 29, the median is 24 and the mode is 23. What is the coefficient of skewness? Describe the distribution. b. The following are scores of 8 students in Algebra: 89, 88, 77, 84, 83, 92, 91 and 96. Find the coefficient of skewness.
The average price of a college math textbook is $153 and the standard deviation is $29. Suppose that 8 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of ? I - N( b. For the group of 8, find the probability that the average price is between $138 and $147. c. Find the first quartile for the average textbook price for this sample size. $ (round to the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? O YesO No Hint: Some Helpful Videos:
A statistics student claims that fewer than 10% of all females at CUNE have ever ridden a motorcycle. He asks 15 females in his statistics class and finds that only one has ever ridden a motorcycle. Can he use this data to test this claim? Why or why not? A. No, np 0 less than 5 B. No, the data come in matched pairs. C. Yes, we are comparing 2 proportions. D. Yes, the sample is random
Find A. Hypothesis and identify claim B. Compute test value C. Find p value D. Make decision E. Summarize results

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