A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to estimate the mean monthly mileage, u, of cars rented in the U.S. over the past year. The consumer group plans to choose a random sample of monthly U.S. rental car mileages and then estimate u using the mean of the sample. Using the value 850 miles per month as the standard deviation of monthly U.S. rental car mileages from the past year, what is the minimum sample size needed in order for the consumer group to be 90% confident that its estimate is within 175 miles per month of µ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.)

A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to estimate the mean monthly mileage, u, of cars rented in the U.S. over the past year. The consumer group plans to choose a random sample of monthly U.S. rental car mileages and then estimate u using the mean of the sample. Using the value 850 miles per month as the standard deviation of monthly U.S. rental car mileages from the past year, what is the minimum sample size needed in order for the consumer group to be 90% confident that its estimate is within 175 miles per month of µ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is…

Q: According to a medical journal, the distribution of weights of newborn babies is approximately…

A: The objective of this question is to find the percentage of newborn babies that weigh between 3100…

Q: The mean weight of a new- born baby is 7.58 pounds with a standard deviation of 0.67 pounds. Assume…

Q: Consider the variable, type of birth control practiced (e.g., an IUD, condoms, none, etc). Which…

Q: What level of measurement do the variance and standard deviation assume?

A: Variance and standard Deviation tells about the spread or variation in the dataWe calculate the…

Q: ter and a standard deviation of 25 milligrams per deciliter. What cholesterol level separates the…

A: mean = 215 standard deviation = 25 What cholesterol level separates the lowest 10% from the highest…

Q: The stature of men is normally distributed, with a mean of 69.0 inches and a standard deviation of…

A: From the given information, the mean of women is 63.6 inches and standard deviation is 2.5 inches.…

Q: percent of men meeting these height requirements.

A: Assume that the heights of American men are normally distributed with a mean of 69.0 inches and a…

Q: In one town, the number of pounds of sugar consumed per person per year has a mean of 6 pounds and a…

A: In one town, the number of pounds of sugar consumed per person per year has a mean of 6 pounds and a…

Q: The mean gas mileage for cars driven by the students at Chillville High Schoo is 28.0 miles per…

A: Normal distribution is continuous distribution which has many real life applications. Standard…

Q: A researcher believes the mean weight of male turtles is more than 205 pounds, she samples 18 male…

A: Denote μ as the population mean weight of male turtles. The claim is that the mean weight of male…

Q: Define the term standard deviation?

A: Standard deviation: The standard deviation indicates by how much each observation differs from a…

Q: Skye High School has a total of 500 graduates. The mean SAT score of Skye High School graduates is…

A: Given data,μ=947σ=205P(X≥1000)=?

Q: What is the lowest standard deviation value ?

A: Standard deviation; The standard deviation indicates by how much each observation differs from a…

Q: A particular fruit's weights are normally distributed, with a mean of 613 grams and a standard…

Q: A study reported on essential organic molecules and a Normal model can be used to describe these…

A: As per our guidelines we are suppose to answer three sub parts. Given,mean(μ)=194standard…

Q: In your work as a biomedical engineer, you need to better understand the distribution of adults'…

A: Given : Systolic blood pressure has a normal distribution with a mean of 112 mm Hg and standard…

Q: A study by the National Center for Health Statistics suggested that women between the ages 20 and 29…

A: 0.33271Explanation:For the given normal distribution with μ=26.8 and σ=7.4, the required proportion…

Q: 56. Blood pressure According to a health informa- tion website, the distribution of adults'…

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

Q: According to a recent report the battery life for a new line of laptop computers has a mean of 9…

A: The normal distribution:A continuous random variable X is said to follow normal distribution if the…

Q: The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is…

Q: Most medical schools require applicants for admission to take the Medical College Admissions Test…

A: It is given that mean and standard deviation are 500 and 10.6, respectively.

Q: As reported in Runner's World magazine, the times of the finishers in the New York City 10- km run…

A: Percentile : Percentile is the number such that certain percentage of the fall below that values.…

Concept explainers

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to estimate the mean monthly
mileage, µ, of cars rented in the U.S. over the past year. The consumer group plans to choose a random sample of monthly U.S. rental car mileages and then
estimate u using the mean of the sample.
Using the value 850 miles per month as the standard deviation of monthly U.S. rental car mileages from the past year, what is the minimum sample size needed
in order for the consumer group to be 90% confident that its estimate is within 175 miles per month of u?
Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole
number that satisfies the requirements).
(If necessary, consult a list of formulas.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Basics of Inferential Statistics$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

The US mean height for adult men is = 68.5 inches, with a standard deviation of = 3 inches. The mean height for adult women is = 62.7 inches, with a standard deviation of = 2.7 inches. Who is taller relative to their gender, a man 75 inches tall, or a woman 68 inches tall?
An analyst found that the average amount of money in bank accounts at his/her bank is $2,000 with a standard deviation of $150. What would be the variance?
According to the Department of Education the mean number of hours college students spend studying each week follows a normal distribution with a mean of 20 hours and a standard deviation of 9 hours. What ‘hours of study’ represent the 90th percentile? What ‘hours of study’ represent the 15th percentile?
Steel rods are manufactured with a mean length of 25 centimeters. Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.08cm. Any rods that are shorter than 24.81cm or longer than 25.19cm are discarded. What proportion of the rods will be discarded?
According to the Department of Education the mean number of hours college students spend studying each week follows a normal distribution with a mean of 20 hours and standard deviation of 9 hours. What ‘hours of study’ represents the 90th percentile? What ‘hours of study’ represents the 15th percentile?
A researcher believes the mean weight of males sulcata tortoises is more than 205 pounds. She samples 18 males sulcatas and find their mean to be 216.2 pounds with a standard deviation of 13.5pounds. Find the p-value p =
The ages of the employees at Solar Systems, Inc. is normally distributed with a mean of 32.7 years and a standard deviation of 1.8 years. What percentage of employees at Solar Systems, Inc. are younger than 30 years old? Round your answer to the nearest tenth of a percent.
According to the Department of Education the mean number of hours college students spend studying each week follows a normal distribution with a mean of 28 hours and standard deviation of 6 hours. What ‘hours of study’ represents the 95th percentile? What ‘hours of study’ represents the 15th percentile?
The mean speed of vehicles along a stretch of highway is 75 miles per hour with a standard deviation of 3.8 miles per hour. Your current speed along this stretch of highway is 62 miles per hour. What is the z-score for your speed?
What is the relationship between the standard deviation and variance?