Women's shoe sizes are (approximately) normally distributed, with an average size of 8.076 and a standard deviation of 1.468. You work at Vogue Magazine, and would like to interview some women about how shoes fit. You take a random sample of 10 women. What is the probability that the 10 women you sampled had an average shoe size that is less than 7.5?

Q: Public health statistics indicate that 26% of  American adults smoke cigarettes. A random sample of…

A:

Q: Bottled Drinking Water Americans drank an average of 23.2 gallons of bottled water per capita in…

A:

Q: The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation…

A: (a)   Obtain the probability that pregnancy will last 307 days or longer. The probability that…

Q: A particular fruit's weights are normally distributed, with a mean of 209 grams and a standard…

A: Population mean, μ = 209 gramsPopulation standard deviation, σ = 18 gramsLet, X, be the particular…

Q: Refer to the accompanying table, which describes results from groups of 8 births from 8 different…

A: Given data,

Q: Harrisburg International Airport records daily weather data. Upon analyzing the average high…

A: GivenMean(μ)=41.1standard deviation(σ)=5.0

Q: You randomly select 25 teachers. What is the probability that their mean salary is more than $70000,…

A: Given thatRandomly select 25 teachersPopulation mean salary is 56000Standard deviation 15000To…

Q: A data set is formed by recording the sums in 400 rolls of a pair of a dice. A second data set is…

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

Q: A research firm conducted a survey to determine the average amount of money consistent smokers spend…

A: We have given that,  Let X be a random variable from normal distribution with mean(μ) = 20 and…

Q: Would it be unusual for a data value to be more extreme than 4.76 standard deviations from the mean?…

A: In a normal distribution, data values that lie more than 4.76 standard deviations from the mean are…

Q: Use the sample mean(78.5)and sample standard deviation (12.3671)in your calculations below. Use…

A: Given that:

Q: About 75% of the residents in a town say that they are making an effort to conserve water or…

A: Suppose p is the population proportion of residents in a town, who say that they are making an…

Q: A car salesperson offers you a car at the price of $22,895. You look up the mean sales price for…

A: We have given that the random variable X that is sales price. Here, X = 22895 Mean = 21900 and…

Q: 44%  of students in a class have black hair. If 66 students are chosen at random, what is the…

A:

Q: A flu test shows that about 31% of 90 patients visited hospital in the first week of January had…

A: Given that  n = 90 , p = 31% = 0.31 , q = 1 - p = 1 - 0.31 = 0.69 X ~ Binomial (n = 90 , p = 0.31) X…

Q: A dataset that contains credit card balances has a population mean of $2870 and a population…

A: Given,mean(μ)=2870standard deviation(σ)=900sample size(n)=81

Q: Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the…

A: Solution: It is given that, Population mean, 70 Standard deviation, 5 Given that Cody took his first…

Q: The Average teachers salary is $57,337. The distribution is normal with a standard deviation with…

A: Given, μ=57337σ=7500 Let X be the amount teacher makes per year. The required probability that a…

Q: Consider the 5 numbers: 12, 5, 8, 12, 18. Which of the following is FALSE? The standard deviation is…

A:

Q: n variable.

A:

Q: The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the…

A: PART A SOLUTION:Step 1: Determine What is AskedWe are given that the mean score for U.S. college…

Q: The population average GPA for fall students is 3.00. You think the average GPA for Psychology…

A: The test statistic for single mean is, t=x¯-μ0snwherex¯=sample means=sample standard…

Q: You want to determine the probability that when seven consumers are randomly selected, exactly two…

A: 1. n = 7, x = 2, p = 0.45, q = 0.552. Mean, μ = 3.15    Standard Deviation, σ = 1.31623. P(X = 2) =…

Q: A pet store has 500 rats whose weights have a mean of 16oz with a standard deviation of 1.1 oz. You…

A: Given Data Population Mean,μ = 16.0 Population Standard Deviation,σ = 1.1 sample…

Q: The average amount of snow per year in Whiteville is 32 inches. The standard deviation is 4 inches.…

A:

Q: Christine is currently taking college astronomy. The instructor often gives quizzes. On the past…

A: Given that the data 95 , 69 , 128 , 78 , 64 , 53 , 79 .

Q: Salaries for teachers in a particular elementary school district are normally distributed with a…

A: Given, Salaries of the teacher follow normal distribution with mean $41,000 and standard deviation…

Q: Please explain how to solve the following:   The Aluminum Association reports that the average…

A: we are suppose to answer three sub parts .

Q: mandatory competency test for high school sophomores has a normal distribution with a mean of 329…

A:

Q: Gülce spends 8 hours for Roblox per day. If the probability of spending less than 6 hours in a…

A:

Q: Suppose the mean starting salary for nurses is $66,613 nationally. The standard deviation is…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: About 10% of the population has a particular genetic mutation. 1000 people are randomly selected.…

A: Binomial distribution is a discrete distribution that deals with the probabilities of success and…

Q: A normal population had a mean of 70 and a standard deviation of 12. You select a random sample of…

A: μ = 70σ = 12n = 9P(x¯>73) = ?

Q: The salary for workers at a company are normally distributed with a mean of $60,000 and a standard…

A:

Q: A football coach claims that the average weight of all the opposing teams’ members is 210 pounds.…

A: Consider that μ is the true average weight of all the opposing teams’ members.

Q: Refer to the accompanying table, which describes results from groups of 8 births from 8 different…

A: xP(x)00.00310.02620.11830.21240.27450.22760.10870.02780.005

Q: The lengths of lumber a machine cuts are normally distributed with a mean of 88 inches and a…

A: Given,Mean μ = 88Standard deviation σ = 0.6

Q: 2. Fill in the blanks: A standardized variable always has a mean of O and a standard deviation of…

A: 2. A standardized variable is always has mean 0 and standard deviation of 1.

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.