The mean ACT composite score in a recent year is 20.8 with a standard deviation of 5.6. A random sample of 36 ACT composite scores are selected. What is the probability that the mean score for the sample is c) between 20.5 and 21.5

Q: At a large department store, the average number of years of service was 13.5 years with a standard…

A: The objective of this question is to find the probability that a randomly selected employee has…

Q: The speed of cars on a stretch of road is normally distributed with an average 48 miles per hour…

A: GivenMean(μ)=48standard deviation(σ)=5.9

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: Given,Mean, μ = 202.2 cmStandard deviation, σ = 1.8 cmLet X be a random variable represents the…

Q: Suppose a convenience store averages 450 customers per day entering the store with a standard…

A: Let X be a random variable following normal distribution with mean μ and variance σ2, i.e.,…

Q: The time that a shopper spends in the grocery store is normallydistributed, with a mean of 45…

A: Given Information: The time that a shopper spends in the grocery store is normally distributed with…

Q: According to a study done by Pierce students, the height for Hawaiian adult males is normally…

A:

Q: The amount of snowfall falling in a certain mountain range is normally distributed with an average…

A: From the provided information, Mean (µ) = 170 inches Standard deviation (σ) = 20 inches X~N (170,…

Q: The time that a shopper spends in the grocery store is normally distributed, with a mean of 65…

A: We have to find given probability..

Q: A sample of 235 students was taken for an exploratory study. Each member of a random 35 of these…

A: Since the sample size is sufficiently large, and the population standard deviation is known, the…

Q: The scores in a cricket tournament are normally dostributed with mean 211 runs and standard…

A: From the provided information, Mean (µ) = 211 Standard deviation (σ) = 34 X~N (211, 34)

Q: The monthly household income of a certain district in Manila is a normally distributed random…

A:

Q: A test score in the top 2% is required. The test is designed to have a mean of 100 and a std dev. of…

A: It is given that the test is normally distributed with mean 100 and standard deviation is 15. The…

Q: The amount of snowfall falling in a cetain mountain range is normally distributed with a 70 inches,…

A: Given Information: Mean μ = 70inches Standard deviation σ = 10 inches Sample size n = 25 To find the…

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: Mean = 139.1 Standard deviation = 1.1

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

A:

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: 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 time taken to complete a mathematics test is normally distributed, with an average time (u) of…

A: We have that Population mean =35 Population standard deviation =8.5

Q: the amount of snowfall falling in a certain mountain range is normally distributed with a mean of 88…

A: It is given that the normal distribution has a mean, μ=88 and the standard deviation, σ=16. The…

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: The amount of snowfall falling in a certain mountain range is normally distributed with 80 inches…

A: Let x¯ denotes the mean annual snow falling during 25 randomly picked years. The mean is 80, and…

Q: According to a study done by UCB students, the height for Martian adult males is normally…

A: Find the probability that the person is between 65.1 and 66.4 inches? Let X = height of the…

Q: The height of an adult male in the United States is approximately normally distributed with a mean…

A: From the provided information, Mean (µ) = 69.0 Standard deviation (σ) = 2.6  X~N (69.0, 2.6)

Q: annual precipitation amounts in a certain mountain range are normally distributed with a mean of 82…

A: Given,sample size(n)=25mean(μ)=82standard deviation(σ)=9

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: Solution-:Given: Let, X= the lengths of the steel rodswe want to find P(the length of a randomly…

Q: Traveling between two campuses via shuttle bus takes, on average, 28 minutes with a standard…

A:

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: Let X denote the lengths of the steel rods are normally distributed with a mean of μ=94.6 cm and a…

Q: fertility rate is the number of births per 1000 women aged 15-44. The mean fertility rate of the 50…

A: According to the given information in this question We need to find the following probability

Q: Elephants are the mammals with the longest gestation period.  One species of elephant has a mean…

A: We have find probabiity..

Q: the average score on s math test is 75 with a standard deviation of 8. What is the probability that…

A: The Z-score for the random variable X equals 90 is obtained below as follows: The Z-score for the…

Q: Women have head circumferences that are normally distributed with a mean of 22.06 in and a standard…

A: For the given data Find p( x bar  < 21.4 ) = ?

Q: The average time to be served at a diner is 12 minutes with a standard deviation of 3 minutes based…

A: Probability that sample mean greater then 13 minutes = 0.0984   Probability that sample mean less…

Q: A so-called "murder hornet" has an average body length of 45 mm with a standard deviation of 3 mm.…

A: Let X be the random variable from normal distribution with mean (μ) = 45,  standard deviation (σ) =…

Q: The speed of cars driving on Route 1 is normally distributed with a mean of 60 mph and a standard…

A: It is given that the, The speed of cars is normally distributed with a mean of 60 mph and a standard…

Q: The composite scores of individual students on the ACT college entrance examination in 2019 followed…

A: Solution: Let X be the composite scores of individual students on the ACT college entrance…

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

A:

Q: An electrical firm manufactures light bulbs that have a length of life that is normally distributed…

A:

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.