In a study of work patterns in one population, the mean weekly family time devoted to child care is 23.08 h with a standard deviation of 15.58 h.  If 60 subjects are randomly selected, find the probability that the mean of this sample group is between 20 h and 24 h. (4 decimal places)

Q: In one region, the September energy consumption levels for single-family homes are found to be…

A: Given, mean  (µ) =  1050 Standard deviation (σ) = 218 Let X be a random variable, X~ Normal (µ =…

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: The monthly utility bills in a city are normally​ distributed, with a mean of $100 and a standard…

A:

Q: a study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet…

A: Given : μ = 8.4 , σ= 1.8 and n= 40 By Central Limit Theorem, x̅ follows a Normal distribution with…

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

A: Given that, mean, mu= 57 Standard deviation, sigma= 3.5 We know that, Z score=(X-mu)/sigma Here…

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

A:

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

A: From the given information,   Mean  = 35 Standard deviation = 7.5   The objective is to find the…

Q: The number of calories in a certain dessert is normally distributed with a mean of 210 and a…

A: Given: μ=210 and σ=12. The z-score is calculated asz=x-μσ

Q: According to the children’s growth chart that doctors use as a reference, the heights of…

A:

Q: Salaries at a large corporation are normally distributed with a mean of $45,000 and a standard…

A: The normal distribution shows the probability value using the standard score or raw score. It is…

Q: The average resident of Metro City produces 770 pounds of solid waste each year, and the standard…

A: We have to find probability that randomly selected person will produce more than 1000 pound wastwm

Q: Of all the companies on the New York Stock Exchange, profits are normally distributed with a mean of…

A: Given data: Mean = $6.54 million Standard deviation = $10.45 million Sample size  = 73 To find: what…

Q: Suppose that the mean and standard deviation of plants height are 130 and 42, respectively, if a…

A:

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

A: Solution-: Let, X= The men heights in the 20-29 age group Given: We find, P(X<68)=?

Q: Suppose math scores on the SAT are normally distributed with a mean of 500 and a standard deviation…

A:

Q: the life expectancy of 400 people in a certain geographic region, the mean age at death was 70…

A: Given, μ=70σ=5.1n=50

Q: The entrance test scores for SHS in a certain school has a mean of 85 and a standard deviation of…

A:

Q: If a random sample of size 14 is drawn from a normally distributed population with mean 43.5…

A: Let, X=the variable Given that X follows a normal distribution with mean=43.5 and standard…

Q: The monthly utility bills in a city are normally​ distributed, with a mean of ​$100 and a standard…

A: Provided information is ; Let X be the monthly utility bill mean(μ) = 100 standard deviation(σ)=15…

Q: In a health examination survey of a prefecture in Japan, the population was found to have an average…

A: Let X denote the blood sugar level readings. Given that X follows N(mean = 99, SD = 12), then  Z =…

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

A: According to the given information, we have Mean = 68.2 and Standard deviation = 3.0

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

A:

Q: At a customer service call center for a large company, the number of calls received per hour is…

A: Let X represent the random variable   Mean=140 SD=5   X~ Normal (140, 5^2)

Q: The monthly utility bills in a city are normally​ distributed, with a mean of ​$100 and a standard…

A:

Q: The monthly utility bills in a city are normally distributed, with a mean of $100 and a standard…

A: Here, mean is $100 and standard deviation is $14.

Q: At a customer service call center for a large company, the number of calls received per hour is…

A: At a customer service call center for a large company, the number of calls received per hour is…

Q: The monthly utility bills in a city are normally​ distributed, with a mean of ​$100 and a standard…

A:

Q: A study of Sandhill Cranes determines that the distance they travel a day is normally distributed…

A: According to the provided information, Mean (μ) = 267 Standard Deviation (σ) = 86

Q: A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet…

A: Given Information: Mean = 8.4 Standard Deviation = 1.8 n = 40

Q: A final exam in Reindeer Research Studies has a mean of 60 and a standard deviation of 5. If 25…

A: It is given that the mean is 60, the standard deviation is 5 and the sample size is 25.

Q: At a customer service call center for a large company, the number of calls received per hour is…

A: Let X be number of calls received per hour. Given: μ=190,  and σ=20 We need to find the PX<163

Q: The average resident of Metro City produces 770 pounds of solid waste each year, and the standard…

A: We have to find probability

Q: At a customer service call center for a large company, the number of calls received per hour is…

A:

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

A: Given data,Mean μ=69.7sd σ=3P(X>70)=?

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: in one region, the September energy consumption level for single-family homes are found to be…

A:

Q: The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 360…

A: Given info: The weight of a small Starbucks coffee is a normally distributed random variable with a…

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

A:

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

A:

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

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Q: A population of 25-28 year-old males has a mean salary of $29,321 with a standard deviation of…

A: From the information, the mean salary of $29,321 with a standard deviation of $2,120.

Q: The monthly utility bills in a city are normally​ distributed, with a mean of ​$100 and a standard…

A:

Q: Which most closely reflects the probability that a randomly selected bulb would last fewer than 940…

A: Let X denote the life of bulb. Given that X follows N(mean = 1000, SD = 50), then Z = (X - mean)/SD…

Q: In a recent study, the Centers for Disease Control and Prevention reported that the diastolic blood…

A: given that mean(μ)= 80.5 standard deviation (σ) = 9.9

Q: Given a sample with a mean of 151 and a standard deviation of 27, find the probability that a…

A: Given :  sample with mean of 151 and standard deviation of 27 we have to find P(X > 158 )

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

A:

Q: The monthly utility bills in a city are normally​ distributed, with a mean of ​$100 and a standard…

A: Given : mean = 100 Standard deviation = 13

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.