The average price of a college math textbook is $162, with a standard deviation of $27. Suppose that 10 textbooks are randomly chosen. Round all answers to 4 decimal places when possible.**a. What is the distribution of x̄?**x̄ ~ N(162, 8.5382)**b. For the group of 10, find the probability that the average price is between $161 and $167.**0.2675**c. Find the 95th percentile for the average textbook price for this sample size.**1.645 (round to the nearest cent)**d. Find the 95th percentile for an individual textbook price. (round to the nearest cent)**175.05**e. For part b), is the assumption that the distribution is normal necessary?**No

The mean is 162 and standard deviation is 27.

Answered: The average price of a college math…

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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Assume the selling prices of homes in a particular community follow a normal distribution with a mean of $263,100 and a standard deviation of $43,200. Complete parts a through c. a. Determine the range of selling prices in this community that includes one standard deviation around the mean. The range is from $ to $ (Type integers or decimals. Use ascending order.) b. Determine the range of selling prices in this community that includes two standard deviations around the mean. The range is from $ to $ (Type integers or decimals. Use ascending order.) c. Determine the range of selling prices in this community that includes three standard deviations around the mean. The range is from $ to $1. (Type integers or decimals. Use ascending order.)
find the p value and explain how it is done.
The distribution of the number of hours that a random sample of people spend doing chores per week is shown in the pie chart. Use 32 as the midpoint for "30+ hours." Make a frequency distribution for the data. Then use the table to estimate the sample mean and the sample standard deviation of the data set. Click the icon to view the pie chart. First construct the frequency distribution. Class Frequency, f 0-4 5-9 10-14 15-19 20-24 25-29 30+ Find an approximation for the sample mean. X= (Type an integer or decimal rounded to the nearest tenth as needed.) Find an approximation for the sample standard deviation. S= (Type an integer or decimal rounded to the nearest tenth as needed.) Weekly Chore Hours 0-4 hours (3 people) 5-9 hours (14 people) 10-14 hours (21 people) 15-19 hours (18 people) 20-24 hours (17 people) 25-29 hours (11 people) 30+ hours (7 people) - X -
please send correct answer for Q7
Q29
The average production cost for major movies is 57 million dollars and the standard deviation is 20 million dollars. Assume the production cost distribution is normal. Suppose that 46 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 57 20 b. What is the distribution of ? - N c. For a single randomly selected movie, find the probability that this movie's production cost is between 52 and 55 million dollars. 58 d. For the group of 46 movies, find the probability that the average production cost is between 52 and 55 million dollars. e. For part d), is the assumption of normal necessary? Yes No
K The lengths of pregnancies are normally distributed with a mean of 269 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 308 days or longer. b. If the length of pregnancy is in the lowest 3%, then the baby is premature. Find the length that separates premature babies from those who are not premature. Click to view page 1 of the table. Click to view page 2 of the table. a. The probability that a pregnancy will last 308 days or longer is (Round to four decimal places as needed.) b. Babies who are born on or before (Round to the nearest integer as needed.) days are considered premature. .
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