a) The weights of kindergarten students are known to be normally distributed with a mean of 19.5 kg and a standard deviation of 3.2 kg. Find the probability that exactly 4 out of 11 randomly selected kindergarten students will weigh less than 20 kg.

Q: Among the workers at a large factory, the number of sick days taken per year is normally…

A: Given that, Among the workers at a large factory, the number of sick days taken per year is normally…

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

A: According to the sum A study at a college in the west coast reveals that, historically, 45% of their…

Q: 1.The average length of adult rabbit is 30 cm with the standard deviation of 4 cm. If their length…

A: Given : Let X : Length of adult rabbit is normally distributed with Mean (μ) = 30  (in cm) Standard…

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: Assuming weights of female athletes are normally distributed with a mean of 140 lbs and a standard…

A: Let, X: The weights of female athletes. Given: Mean = μ = 140 lbs Standard deviation = σ =15 lbs We…

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

A: The provided information is  µ=56 σ=3.3 P(X>60) a.P(X-µσ>60-563.3)=P(z>1.21)=0.1131   (from…

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

A:

Q: If x is a normally distributed variable with a mean of 151.7 and a standard deviation of 21.9, what…

A: GivenMean(μ)=151.7standard deviation(σ)=21.9

Q: Suppose the grades in a mathematics class are Normally distributed with a mean of 75 and a standard…

A: Introduction :-  Here the grades in a mathematics class are Normally distributed with a mean of 75…

Q: If a random sample of size 9 is drawn from a normally distributed population with mean 64 hours.…

A:

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: Suppose speeds of vehicles on a particular stretch of roadway are normally distributed with mean…

A: Given :Let, X bet the speed of vehicle. Here, X~Nμ=36.6,σ2=(1.7)2and let,Z=x-μσ~N(0,1)

Q: Suppose the average speeds of passenger trains traveling from Newark, New Jersey, to Philadelphia,…

A: Solution: a. Let X-bar be the average speed of passenger. From the given information, X-bar follows…

Q: If the weights of sheep are considered normally distributed with a mean of 60 kg and a standard…

A:

Q: If x represents a random variable with mean 132 and standard deviation 50, then the standard…

A:

Q: 2. The average daily jail population in the New Bilibid prison in Muntinlupa City is 36,295. If the…

A: The average population of jail is 36,295. The standard deviation of the population in jail is 3760.

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: Suppose that the miles-per-gallon (mpg) rating of passenger cars is a normally distributed random…

A:

Q: 3. The average cholesterol content of a certain canned goods is 215 milligrams, and the standard…

A: Given that  X~N(μ= 215 , σ= 15 ) μ= 215 , σ= 15 , n= 25

Q: A population has a standard deviation of 16. If a sample of size 64 is selected from this…

A: Given: Population standard deviation = sigma = 16 n = 64 P( sample mean within 2 units from…

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

A: P(X>96)=?

Q: The weights of the cereal in boxes of Kooky Krunch cereal are normally distributed, with a mean of…

A:

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: 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: If x represents a random variable with mean 137 and standard deviation 35, then the standard…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

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: If the random variable X is normally distributed with a mean of 75 and a standard deviation of 8,…

A: Given: µ = 75 σ = 8

Q: 1.) The average repair cost of a microwave oven is $55, with a standard deviation of $8. The costs…

A: 1) Given that the mean is $55 and the standard deviation is $8. The costs are normally distributed.…

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: Suppose that heights of women at UT Tyler are normally distributed with a mean of 64 inches and a…

A: It is given that the mean is 64 and standard deviation is 2.4.

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: If the weights of sheep are considered normally distributed with a mean of 60 kg and a standard…

A: let  x is defined as the weights of sheep are considered normally distributed with a mean of 60 kg…

Q: Suppose that the starting salaries of MBAS at Wilfrid Laurier University (WLU) are normally…

A:

Q: At a certain beer bottling plant, the amount of beer that is put in a bottle is known to be…

A:

Q: Suppose the heights of 18-year-old men are approximately normally distributed, with mean 66 inches…

A: Let "x" be the heights of 18-year-old men. Draw the normal curve and shade the area between…

Q: For a populations mean of 22.3 and standard deviation 4, find the probability that the random…

A: The mean is 22.3 and the standard deviation is 4.

Q: The average daily jail population in the New Bilibid prison in Muntinlupa City is 36,295. If the…

A: Given information Population means µ = 36295 Standard deviation σ = 3760 We have to find the…

Q: What is the probability that the mean height of 10 randomly selected women are greater than 66.5…

A: Let X denote the height of the young women. Given that X follows N(mean=64.5, SD=2.5) Then…

Q: Suppose that the starting salaries of MBAs at Wilfrid Laurier University (WLU) are normally…

A: Given the data MBA's at WPUNJ MBA's at Rutgers Mean μ1=62000 Mean μ2=60000 SD, σ1= 14500 SD,…

Q: For a normally distributed random variable with mean 44 and standard deviation 16, find the…

A:

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

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: At a certain beer bottling plant, the amount of beer that is put in a bottle is known to be…

A:

Q: 1. The breaking strength of a rivet has a mean value of 10,000 psi and a standard deviation of 500…

A: Given: μ=10,000σ=500 a. The probability that the sample mean breaking strength for a random sample…

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

A: Given dataMean = 35Standard deviation = 7.5Sample size (n) = 40probability that the sample mean will…

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.