The mean height of women in a country​ (ages 20−​29) is 64.1 inches. A random sample of 75 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65 ​inches? Assume σ=2.58. The probability that the mean height for the sample is greater than 65 inches is

Q: he distribution of heights of adult males has a mean of 69 inches and a standard deviation of 4…

A: Solution-: Let, X= The distribution of heights of adult males Given: (inches) We find, P[ he…

Q: About 74​% of all female heart transplant patients will survive for at least 3 years. Eighty female…

A: Given,sample size (n)=80sample proportion(p^)=0.74mean(μ)=p^=0.74standard…

Q: Tiger Woods hits an average driver 287.2 yards with a standard deviation of 24.6 yards. What is the…

A: The probability value is calculate by means of standard normal variate with the random variable,…

Q: population has a mean of 350 and a standard deviation of 25, determine the probability that a random…

A: GIVEN DATA, μ=350σ=25n=40p(335<x¯<375)=?

Q: the probability that a ball dropped from a certain height will strike the ground is 80 percent and…

A: Given: Number of trials or balls (n) = 12 Probability of success  here (p) = 0.80 Let X ~ Bin(12,…

Q: If the mean height of a population of students is 68 inches with standard deviation 3 inches, what…

A: Given that      The mean height of a population of students is 68 inches with standard deviation 3…

Q: In a region the energy consumption for a family per month averages 1145 kWh and one standard…

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

A:

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

A:

Q: At an airline company, according to the records, the mean age of pilots is 36.2 years, and the…

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: About 70​% of all female heart transplant patients will survive for at least 3 years. Sixty female…

A: Given n=60 Population proportion=0.70 p=0.66

Q: Four coins are tossed. Let Z be the random variable representing the number of heads that occur.…

A: Given: Four coins are tossed. The random variable Z denotes the number of heads that occurs.

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: About 73​% of all female heart transplant patients will survive for at least 3 years. Ninety female…

A:

Q: 80% of beans seeds sprout. Three seeds were planted. Find the distribution of the variable X number…

A: Given : n = 3 P = 0.80 q = 1 - p     = 1 - 0.80 = 0.20

Q: iron rods are produced in 6 groups. they each are required to tolerate a total length between 166…

A: Given Information: Consider the variable X which follows uniform distribution with parameters…

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: A voin is tossed four times. Let x denote the number of heads. Find the mean and standard deviation…

A: A coin is tossed four times. The  denotes the number of heads.

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A:

Q: Assume the average weight of a schoolchild's book bag is 17.5 pounds, with a standard variation of…

A: Let X be a random variable that denotes the weight of the child's school bag. Then, it is provided…

Q: At an airline company, according to the records, the mean age of pilots is 36.2 years, and the…

A:

Q: Five hundred youths participated in a national sport competition. Their heights averaged 110cm with…

A: Given that

Q: About ​80% of all female heart transplant patients will survive for at least 3 years. Seventy female…

A: Given information Probability that female heart transplant patients will survive for at least 3…

Q: The height of women ages​ 20-29 is normally​ distributed, with a mean of 63.8 inches. Assume σ=2.6…

A: Given: Mean μ=63.8Standard deviation σ=2.6 The height of women is normally distributed z=x¯-μσnis…

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: find the probability that the mean time of a sample of 15 Americans who shower will be less than 12…

A:

Q: Suppose that the ages of all MIT students are normally distributed with mean 24.01 yrs and s.d. 5.31…

A: Given,mean(μ)=24.01standard deviation(σ)=5.31

Q: A government sample survey plans to measure the total cholesterol level of an SRS of men aged 20-34.…

A: Note: As it is not logical that “the probability that x falls within + or -2 milligrams per…

Q: If the gondola is filled with 25 randomly selected​ skiers, what is the probability that their mean…

A: Mean = 180 Standard deviation = 44 Sample size = 25

Q: Among the students of AUCA, 30% know two foreign languages. Find the mean and the standard deviation…

A:

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 X is an outcome in throwing a fair die. Find the mean and variance

A: Given X is an outcome in throwing a fair die and we want the mean and variance.

Q: About 73% of all female heart transplant patients will survive for at least 3 years. Sixty female…

A: The objective of this question is to find the probability that the sample proportion of female heart…

Q: The lifetime of a particular brand of AA batteries follows a normal distribution. The mean lifetime…

A: Correct answer is d. 0.8944

Q: The mean height of women in a country (ages 20 of 55 women in this age group is selected. What is…

A: Given : Mean (µ)=63.9 Standard deviation (σ)=25.2 Sample size (n)=55

Q: A population distribution has o =6. What position in this distribution is identified bya z-score = +…

A:

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

A:

Q: Suppose the heights of students in a class follows normal distribution. The mean is 66 inches and…

A: It is given that the mean is 66 inches and the standard deviation is 5 inches.

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.