the life expectancy of 400 people in a certain geographic region, the mean age at death was 70 years, and the standard deviation was 5.1 years. If a sample of 50 people from this region is selected, what is the probability that the mean life expectancy will be less than 68 years?

Q: announced that the median sales price of new houses sold one year was ​$211,000​, and the mean sales…

A: According to the sum, A report announced that the median sales price of new houses sold one year was…

Q: In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with…

A: Given data,μ=69.7σ=3P(68<X<70)=?

Q: For a population With a mean of 75 and a standard deviation of 12, what is the probability that a…

A:

Q: In an all boys school, the heights of the student body are normally distributed with a mean of 68…

A:

Q: In a study of work patterns in one population, the mean weekly family time devoted to child care is…

A:

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 recent study, the Centers for Disease Control and Prevention reported that the diastolic blood…

A: Given that, Mean, mu= 80.5 And standard deviation, sigma= 9.9 X~ N(80.5, 9.9) We know that, z score…

Q: mean of µ = 70 and a standard deviation of σ = 10, what is the probability of obtaining a sample…

A: Given data: A normally distributed population with mean and standard deviation is given as:…

Q: If the mean height of a population of university students is 166cm (μ=166) and the standard…

A: Consider,X be the height of students which follows normal distribution with mean of 166 cm and…

Q: According to Neilson & Co adults watch an average of 30 hours of a TV a week. Assume the population…

A: It is given that the mean is 30 hours, the standard deviation is 12 and the sample size is 30.

Q: 1. The mean weight of 5-year-old children is 39.5 pounds, and the standard deviation is 3.2 pounds.…

A: Given that  X~N(μ= 39.5 , σ= 3.2 ) μ= 39.5 , σ= 3.2 , n=52

Q: . Sunshine City was designed to attract retired people, and its current population of 50,000…

A: 6) Given data Mean (µ) = 60 years Standard Deviation(σ) = 16 years Sample size (n)= 100 a) As the…

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: A set of final examination grades in an introductory statistics course is normally​ distributed,…

A: Given that, A set of final examination grades in an introductory statistics course is normally​…

Q: height in the male population is normally distributed with a mean height of 5–11 (71 in.) and a…

A: Here is given that mean is 71 inches and standard deviation is 4 inches. 6 ft is equal to 72 inches.

Q: According to a Sallie Mae survey and credit bureau data, in 2008, college students carried an…

A:

Q: he reading speed of second grade students in a large city is approximately​ normal, with a mean of…

A: P(X>96)=?

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A:

Q: 1. In a study of the life expectancy of 500 people in a certain geographic region, the mean age at…

A:

Q: A study at a college in the west coast reveals that, historically, 45% of their students are…

A: a) It is known that, the mean of the sampling distribution of sampling distribution, p-hat is equal…

Q: Suppose that the lifetimes of light bulbs are approximately normally​ distributed, with a mean of 56…

A: From the provided information, Mean (µ) = 56 Standard deviation (σ) = 3.2 Let X be a random variable…

Q: Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 56…

A: Given: X~Normalμ=56,σ2=3.32

Q: If the normal operating life of a car is considered to be 150,000 miles, with a standard deviation…

A: The probability that a car will last 200,000 miles is calculated as follows:

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A: Given,mean(μ)=35standard deviation(σ)=7.5sample size(n)=50

Q: According to Neilson & Co adults watch an average of 30 hours of a TV a week. Assume the population…

A: X~N(μ,σ2) μ=30, σ=12 Z=X-μσ/n

Q: Given the amount of annual snowfall in Big Bear City is normally distributed with μ=62 inches, and a…

A: Here the amount of annual snowfall is normally distributed with mean=62 and standard deviation=10. A…

Q: A company produces lightbulbs whose life follows a normal distribution, with a mean of 1,200 hours…

A: Given: A company produces lightbulbs whose life follows a normal distribution, with a mean of 1,200…

Q: In a given year, the average annual salary of a cricket player was $205 000, with a standard…

A: The probability that the sample mean will be less than $210,000 is,…

Q: Suppose that the lifetimes of light bulbs are approximately normally​ distributed, with a mean of 56…

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

Q: For a population with a mean of 100 and standard deviation of 16, what is the probability that a…

A: The central limit theorem states if the sample size (n) is large (greater than or equal to 30), then…

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A: Solution: We are given:

Q: Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57…

A: Given data,μ=57σ=3.5

Q: In a certain country, the average age is 31 years old and the standard deviation is 4 years. If we…

A: From the provided information, Mean (µ) = 31 years Standard deviation (σ) = 4 years X~N (31, 4) Here…

Q: A newspaper publisher has mean sales of 28,200 copies per day with a standard deviation of 3,100…

A: 1.   From the given information, the mean sales is 28,200 copies per day and the standard deviation…

Q: In a biomedical research study, it was determined that the survival time, in weeks, of an animal…

A:

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

A:

Q: 3. Suppose that the IQ scores of Grade 11 students of OSFI is normally distributed with a mean of…

A:

Q: According to the American Time Use Survey results released by the Bureau of Labor Statistics on June…

A: Given : μ = 168 , σ= 20 and n= 400       By Central Limit Theorem, x̅ follows a Normal…

Q: Based on data from the National Health Board, weights of men are normally distributed with a mean of…

A:

Q: A manufacturing company measures the weight of boxes before shipping them to the customers. If the…

A: Given, µ=90 σ=24 n=36

Q: Suppose that the lifetimes of light bulbs are approximately normally​ distributed, with a mean of…

A: From the provided information, Mean (µ) = 57 Standard deviation (σ) = 3.5 Let X be a random variable…

Q: it was determined that the survival time, in weeks, of an animal subjected to a certain exposure of…

A:

Q: According to a study, the average number of hours of TV viewing per household per week in the…

A: To find the probability that:   a.) The sample average is more than 52 hours   b.) The sample…

Q: In a study of life expectancy in a certain region, the mean age at death was 70 years, and the…

A:

Q: Suppose the heights of 18 year old men are approximately normally distributed, with mean 71 inches…

A: The normal distribution is the most useful theoretical distribution for continuous variables. For…

Q: Given the population of men has normally distributed weights with a mean of 172 lb and a standard…

A: Let X denote the population of men has normally distributed weights with a mean of 172 lb and a…

Q: In recent years, the average movie ticket cost $7.89. In a random sample of 50 movie tickets from…

A: From the provided information, Mean (µ) = $7.89 Population standard deviation (σ) = $1.39 X~N (7.89,…

Q: In a murder trial in Los Angeles, a shoe expert stated that the heights of men with size 12 shoes is…

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: In examining the invoices issued by a company, an auditor finds that the dollar amounts of invoices…

A:

Q: Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57…

A: Given, The proportion of light bulbs will last more than 60 hours is obtained as- The required…

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.