In determining automobile mileage ratings, it was found that the mpg in the city for a certain model is normally distributed, with a mean of 31 mpg and a standard deviation of 1.7 mpg. Suppose that the car manufacturer samples seven cars from its assembly line and tests themfor mileage ratings.a. What is the distribution of the mean mpg for the sample?b. What is the probability that the mean mpg of the sample will be greater than 32 mpg?c. What is the probability that the mean mpg of the sample will be less than 30.5 mpg?Enda. What is the distribution of the mean mpg for the sample? Select the correct choice below and fill in the answer boxes to complete your choice.(Type integers or decimals rounded to two decimal places as needed.)O A. The sampling distribution of the mean follows an exponential distribution with the sample meanOB. The sampling distribution of the mean follows a normal distribution with the sample meanOC. The sampling distribution of the mean follows a triangular distribution with the sample meanOD. The sampling distribution of the mean follows a uniform distribution with the sample meanmpg and the standard deviation of the sample mean mpgmpg and the standard deviation of the sample mean mpg.mpg and the standard deviation of the sample meanmpg and the standard deviation of the sample meanmpgmpg.

Let X be the random variable that mpg in the city for a certain model.Given that,Sample size

Answered: a. What is the distribution of the mean…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The average price of a college math textbook is $162 and the standard deviation is $27. Suppose that 10 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of ? ~ N( b. For the group of 10, find the probability that the average price is between $161 and $167. c. Find the 95th percentile for the average textbook price for this sample size. $ (round to the nearest cent) d. Find the 95th percentile for an individual textbook price. (round to the nearest cent) $ e. For part b), is the assumption that the distribution is normal necessary? YesO No
It is commonly believed that the mean body temperature of a healthy adult is 98.6° F. You are not entirely convinced. You believe that it is higher than 98.6° F. The temperatures for 12 randomly selected healthy adults are shown below. Assume that the distribution of the population is normal. 100.1, 96.8, 98.7, 100, 99.1, 98.3, 97.5, 100.9, 99.1, 100, 98.1, 100.1 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Ha: Select an answer Select an answer c. The test statistic O Question Help: (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) d. The p-value = e. The p-value is a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... There is sufficient evidence to conclude that the population mean body temperature for healthy adults is higher than 98.6° F. There is not sufficient…
A distribution has a mean of 9, a median of 9, and a mode of 9. What is the shape of this distribution? 1. Positively skewed 2. Negatively skewed 3. Perfectly symmetrical 4. None of the above
d) Which number of minutes per day represents the 70th percentile? (Round to the nearest whole number as needed.)
In 1995, the median price of a PC was $1200. Suppose that a random sample of100 persons who bought their PCs during that year recorded the amount spent (byeach of them) on his/her PC. State the approximate sampling distribution of ˆp, theproportion of persons who spent more than $1200 on a PC. Find the probabilitythat more than 60% of this group spent more than $1200. NOTE: Please explain each part, so the problem can be used as a Study Guide
Sixty-two percent of seniors attend a particular school in a school district. Assume 500 seniors within this school district are sampled. a. Can this distribution be approximated using the Normal model? Explain. b. Use the Normal approximation to estimate the probability that at least 290 senior students are enrolled at this particular school. c. Use the Normal model to estimate the probability that between 200 and 300 senior students who are sampled are enrolled at this particular school.
Suppose that the efficacy of a certain drug is 0.56. Consider the sampling distribution (sample size �=99) for the proportion of patients cured by this drug. What is the mean of this distribution? What is the standard error of this distribution? Round the answer to three decimal places.
4. A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 100 weights is taken. a. What is the distribution for the weights of one 25-pound lifting weight? What is the mean and standard deviation? b. What is the distribution for the mean weight of 100 25-pound lifting weights? c. Find the probability that the mean actual weight for the 100 weights is less than 24.9. 1 I
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a. What is the distribution of the mean mpg for the sample? b. What is the probability that the mean mpg of the sample will be greater than 32 mpg? c. What is the probability that the mean mpg of the sample will be less than 30 5 mpg?