Over 50% of family households in the U.S. have no chil-dren under 18 living at home and fewer than 10% have 3 or more, so the distribution of the number of childrenliving in family households is skewed to the right. Themean is 0.96 children, with a standard deviation of1.26 children. What’s the probability that in a randomsample of 250 family households the mean numberof children living in those homes will be greater than 1?A) 0.056 B) 0.308 C) 0.487D) It cannot be determined, because the sample is notlarge enough.E) It cannot be determined, because the populationdistribution is not normal.

Q: investigating how much time his classmates spend on social media per day, Ruben found that for  the…

A:

Q: a certain presidential election, Alaska's 40 election districts averaged 1,953.8 votes per district…

A: given data, bell- shaped distribution μ=1593.8σ=572.2x= number of votes for this candidate for an…

Q: a typical adult has an average IQ score of 105 with a standard deviation of 20. If 19 randomly…

A:

Q: The credit card debt for college seniors is normally distributed with an average of $3262 and a…

A:

Q: Because of slight, natural variation in the manufacturing equipment, the amount of caffeine in…

A: According to the provided information, μ=80σ=0.083

Q: Georgia residents spent an average of $470 on the lottery in 2010, or 1% of their personal income…

A: Given: Population mean amount spentx¯=$470 Population standard deviation σ=$50 Sample size of…

Q: If the mean of a random variable is 30 and the standard deviation is 6, and three consecutive data…

A: It is given that, Mean,μ=30 Standard deviation,σ=6

Q: Suppose you draw a random sample of 100 observations from a population with a variance = 25. What is…

A:

Q: According to the study, the average number of hours that the student spent studying per week in the…

A: From the provided information, Mean (µ) = 56 hours Standard deviation (σ) = 14 hours X~N (56, 14)

Q: 3 inches.  If a random sample of 45 men in this age group is selected, what is the probability that…

A: Given :  The heights of 18-year-old men are normally distributed, with a mean of 68 inches and a…

Q: A traffic light is set to switch from red to green according to a uniform distribution with a mean…

A: The cumulative density function for uniform distribution is  F(X)=x-ab-a The mean of uniform…

Q: ry is $159,964 for an assistant professor and $147,702 for an associate professor. Assume that the…

A: Given: μ for assitant professor salary = $159,964μ for associate professor salary =…

Q: In a study of work patterns, data from 669 subjects were collected. For the time spent in child…

A: We have given that,  Let X be the random variable from normal distribution with mean (μ) = 23.08,…

Q: The College Board National Office recently reported that in 2011-2012, the547,038 high school…

A: a) The probability that a high school junior who takes the test will score at least 610 on the…

Q: credit card company monitors cardholder transaction habits to detect any unusual activity. suppose…

A:

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: 2. If quiz grades are normally distributed with a mean of 80 and a standard deviation of 6.0, what…

A: 2) Given,Mean, μ = 80Standard deviation, σ = 6.0Let X be a random variable represents the quiz…

Q: It has been determined that there is a 75% chance of a person using their seatbelt when sitting in…

A: probability of a person using their seatbelt when sitting in the back seat of a car(p)=0.75sample…

Q: About 78​% of all female heart transplant patients will survive for at least 3 years. Ninety…

A: From the given information, the sample size is 90 and the  proportion is 78%. The mean of the sample…

Q: The heights of 18-year-old men are normally distributed, with a mean of 68 inches and a standard…

A: Given information- Population mean, µ = 68 inches Population standard deviation, σ = 3.3 inches Let…

Q: About 79% of all female heart transplant patients will survive for at least 3 years. Seventy female…

A:

Q: stimated that only 2% of high school athletes receive even a partial athletic scholarship to…

A: Given data,p=2% =0.02n=500Find variance and standard deviation?

Q: In 2001 there were 869 road fatalities in Virginia, according to the Virginia Department of Motor…

A:

Q: The term "Freshman 15" refers to the claim that college students typically gain 15 lb during their…

A: To find the probability that a randomly selected male college student gains 15 pounds or more during…

Q: in a recently conducted study, families reported using an average of 70 gallons of gasoline per…

A:

Q: Data from the Bureau of Labor Statistics’ Consumer Expenditure Survey show that annual expenditures…

A: Given information- For the year 2001- Population mean, µ = $235 Population standard deviation, σ =…

Q: f the 20th and 60th percentiles of a normal random variables are -4.3 and 15.8, respectively. What…

A:

Q: Historically, the average score of PGA golfers for one round is 74 with a standard deviation of…

A: Given,sample size(n)=110mean(μ)=74standard deviation(σ)=3.91

Q: due to the increasing price of apartments each year, houston chronicle reported that rent of 1 bed 1…

A: Given that  μ=1200σ=500n=20 Consider, the probability that the price is more than 1100 is,…

Q: Given a normal population with mean = 39 and variance = 16, what is the probability of obtaining an…

A:

Q: The annual salary for an emergency room nurse is a normally distributed random variable with a mean…

A: Suppose the random variable x defines the annual salary for an emergency room nurse.

Q: According to the U.S. Department of Agriculture, the amount of soft drinks consumed by people in the…

A: Given, Mean = 53 Standard deviation = 17.1   Sample size = 25   The objective to is find the…

Q: Researchers doing a study comparing time spent on social media and time spent on studying randomly…

A:

Q: A typical adult has an average IQ score of 105 with a standard deviation of 20. If 20 randomly…

A: Concept of sampling distribution of sample mean: Let a particular characteristic of a population is…

Q: The Wall Street Journal reported that approximately 25% of the people who are told a product is…

A: Utilising Binomial distribution. Reason there is two possibilities and number of sampled…

Q: A racing car consumes a mean of 103 gallons of gas per race with a variance of 36. If 38 racing…

A: The probability of the sample mean would be greater than 101.5 gallons is 0.9382 and it is obtained…

Q: Suppose the average amount of money that people spend on their pets per month is 47 dollars, with a…

A: From the Standard Normal table, the bottom of 30% is -0.5244. The average amount of money spent on…

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: The likelihood that a bulb is defective is 7%, on a particular line. Eight light bulbs are randomly…

A: Answer: From the given data, The probability of defective light bulbs (p) = 7% = 0.07 Sample size(n)…

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

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.