According to a report from a business intelligence company, smartphone owners are using an average of 22 apps per month. Assume that number of apps used per month by smartphone owners is normally distributed and that the standard deviation is 7. If you select a random sample of 25 smartphone owners, what is the probability that the sample mean is between 21.5 and 22.5?

According to a report from a business intelligence company, smartphone owners are using an average of 22 apps per month. Assume that number of apps used per month by smartphone owners is normally distributed and that the standard deviation is 7. If you select a random sample of 25 smartphone owners, what is the probability that the sample mean is between 21.5 and 22.5?

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...

See similar textbooks

Related questions

Q: According to the Opinion Research Corporation, men spend an average of 12.9 min in the shower.…

A: Given that X~Normal(μ=12.9,σ=1.65)

Q: The fares received by Uber Drivers working in the City line are normally distributed with a mean of…

A: Let X be a continuous random variable of fares received by Uber Drivers working in the City line are…

Q: Supposed that the mean age of the employees of warrior's corporation is 45.5 years and the standard…

Q: Suppose that the average outstanding credit card balance for young professionals is Php11,200 with a…

A: Given: Population meanμ=11200Population standard deviationσ=2600Sample size(n)=150

Q: In the country of United States of Heightlandia, the height measurements of ten-year-old children…

Q: The life expectancy of computer terminals is normally distributed with a mean of 4 years and a…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: In a certain year there were 930 road fatalities in a certain state, according to the Department of…

A: Here we have two type of outcomes viz. alcohol-related road fatalities and non-alcohol related road…

Q: The average length of time spent recovering after an outpatient surgery is 4.52 hours, with a…

Q: The width of leaves on the plants in my office are normally distributed with a mean of 2.45 inches…

A: It is an important part of statistics . It is widely used .

Q: A standard I.Q. test produces normally distributed results with a mean of 104 and a standard…

Q: The weight of people in a small town in Missouri is known to be normally distributed with a mean of…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: A transportation agency reports that drivers in a certain city spend an average of 32 minutes…

A: GivenMean(μ)=32standard deviation(σ)=12

Q: If the average length of stay in the hotel is 12 days with a standard deviation of 6 days assuming…

A: It is given that average length of stay in the hotel is 12 days with a standard deviation of 6 days…

Q: The ages of patients undergoing a heart surgery in MJPS Hospital are normally distributed with a…

A: For the given data mu =43.5 ,s.d =8.5 ,x =40 p(x>40) = ?

Q: According to the USDA, the mean intake of calories of males 20-39 is 2716 with a standard deviation…

A: It is given that the mean and standard deviation are 2,716 and 72.8, respectively. The sample size n…

Q: For all of the California Community Colleges, the population of full-time faculty members have a…

A: We have to find out given probability .

Q: The time college students spend on the internet follows a normail distrubution. At Johnson…

Q: A local fast-food restaurant reports that the mean number of hamburgers it sells per day is 235.0…

Q: the life expectancy for a species of certain insects is normally distributed with mean of 14.3…

A: It is given that the mean is 14.3 and the standard deviation is 4.3.

Q: At a customer service call center for a large company, the number of calls received per hour is…

A: Z= x-μσ~N(0,1)

Q: At a customer service call center for a large company, the number of calls received per hour is…

A: Given, Mean=50 Standard deviation= 5 x1= 61 x2= 54

Q: A census of the labor force in a large metropolitan area found that the time is takes for people to…

Q: In the country of United States of Heightlandia, the height measurements of ten-year-old children…

A: We have given that, X be the random variable from normal distribution with mean (μ) = 53.9 inches…

Q: The length of an episode of the hit TV show, Fake Blood, is normally distributed with a mean of 62…

A: Given that X~Normal(μ=62 , ?=4.5) Mean=μ=62 , Standard deviation=?=4.5)

Q: It is said that the salaries of all associate professors in a particular region follow a normal…

A: The use of standard normal probability distribution table helps us in ascertaining the percentage…

Q: The amount of time spent by North American adults watching television per day is normally…

A: Let X be the time spent by the North American adults watching television per day. It is given that X…

Q: If the length of newborn alligators is normally distributed with mean of 6 inches and standard…

Q: In the country of United States of Heightlandia, the height measurements of ten-year-old children…

A: We have to find out given probability..

Q: Suppose that the average outstanding credit card balance for young professionals is Php11,200 with…

Q: The average salary of bank managers in a certain city is $85,600 pesos per hour with a standard…

A: Let X be the random variable from normal distribution with average or mean (μ) =$ 85600 and standard…

Q: The average lifetime of smoke detectors that a company manufactures is 5 years, or 60 months, and…

A: We have given that 1) sample size n= 30 , mu= 60 , sigma = 8 Z-score =(x-mu)/sigma X~N(mu,…

Q: Suppose that the average outstanding credit card balance for young professionals is Php 11,200 with…

A: The average outstanding credit card balance for young professionals is Php 11,200. The standard…

Q: The mean number of hours that American women who worked outside of the home per week was 34.6 hours…

A: The mean is 34.6 and standard deviation is 13.6. The sample size is 42. The probability their mean…

Q: The mean salary offered to students who are graduating from Coastal State University this year is…

A: Given that the mean = $24,230 standard deviation = $3712…

Q: The average recovery of an Anterior Cruciate Ligament (ACL) tear after operation ranges from 6 to 12…

Q: The weight of people in a small town in Missouri is known to be normally distributed with a mean of…

A: Provided data is, The weight of people in a small town in Missouri is known to be normally…

Q: Suppose that the average outstanding credit card balance for young professionals is Php11,200 with…

A: μ = 11200δ = 2600n = 150here n ≥ 30∴ As per cCLT , x will normal.

Q: The time for a student to commute from home to a university campus is Normally distributed with a…

A: It is given that the mean is 25 minutes and the standard deviation is 10 minutes.

Q: A company that owns a fleet of cars for its sales has found that the service lifetime of disc brake…

Q: the average number of words per minute typed by a speed typist is 140 with a standard deviation of 8…

Q: The mean number of miles driven per vehicle annually in the United States is 12494 miles. Assume the…

Q: The mean height of men in the US (ages 20-29) is 69.6 inches with a standard deviation of 4 inches.…

A: Solution: Let X be the height of men in the US. From the given information, X has a mean µ=69.6…

Q: A filling machine puts an average of 4 ounces of coffee in jars with a standard deviation of o.25…

A: Given Information: A filling machine puts an average of 4 ounces of coffee in jars with a standard…

Q: The amount of money that college students spend on food each week during the academic year is…

A: Given,mean(μ)=31.28standard deviation(σ)=11.42sample size(n)=10

Q: What is the probability of a male foot length between 1010 and 12.512.5 inches? (Use the same mean…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: The average number of pages in a novel is 326 with a standard deviation of 24 pages. If a sample of…

Q: average salary of bank managers in a certain city is $ 85,600 pesos per hour with a standard…

A: Population mean (u) = $ 85600 Standard deviation = $ 22400 P( 75000< x < 95000) = ???? By…

Q: In the country of United States of Heightlandia, the height measurements of ten-year-old children…

A: We have to find the probability that a randomly chosen child has a height of less than 59.4 inches.

Q: The average age of major league baseball players is 29.5 years and has a standard deviation of 2…

A: Given,mean(μ)=29.5standard deviation(σ)=2sample size(n)=9

Question

If you select a random sample of 25 smartphone owners, what is the probability that the sample mean is between 21.5 and 22.5?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution