The number of violent crimes committed in a day possesses a distribution with a mean of 2.1 crimes per day and a standard deviation of 5 crimes per day. A random sample of 100 days was observed, and the mean number of crimes for the sample was calculated. Describe the sampling distribution of the sample mean.

Q: A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean…

A:

Q: Assume that the scores of a college entry exam are normally distributed with a mean of 400 and a…

A: Given,mean(μ)=400standard deviation(σ)=60

Q: Salaries for teachers in a particular elementary school district are normally distributed with a…

A: The properties of the normal distribution is,   The Normal distribution curve is and bell shaped…

Q: A normally distributed data set has a mean of 0 and a standard deviation of 2. What is the percent…

A:

Q: A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was…

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

Q: The annual salary for elementary teachers is left-skewed with a mean of $29,800 and a standard…

A: The annual salary for elementary teachers is left-skewed with a mean of $29,800 and a standard…

Q: Suppose that the distribution of touchdowns (in football) is normally distributed with a mean of 250…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: A college was conducting a phonaton to raise money to increase students’ scholarships. The president…

A: The observations of the amount pledged (in thousands of dollars) are as follows:16, 18, 11, 17, 13,…

Q: The population mean is 75 and the population standard deviation = 6. Random samples (containing 16…

A: Given , The population mean ( n )   = 75 ,  the population standard deviation ( σ )= 6

Q: The height of trees in a nursery is normally distributed with a mean of 56.4 inches and a standard…

A: The height of trees in a nursery is normally distributed with a mean of 56.4 inches and a standard…

Q: A sample of the number of sick days used by employees at a clinic is as indicated: 0,    0,    1,…

A: Given data 0,0,1,1,2,4

Q: A normally distributed set of data has been generated where 50% of the data lies below 97 and 70%…

A:

Q: The mean annual income for people in a certain city (in thousands of dollars) is 42, with a standard…

A: The formula for mean of the Z-score is, Z=x¯-μσn Here n is the sample size, μ is the population mean…

Q: ctrical customers are often told what the average amount of electricity is used for similar homes in…

A: The mean is μ=1650Standard deviation is σ=320z-value at 86% confidence is Zc=1.18x=?

Q: Suppose that the average length of American songs is 245 seconds with a standard deviation of 28…

A: Solution: Let X be the length of American songs. From the given information, X has mean µ=245…

Q: A normal distribution has a mean of 62 and a standard deviation of 12. What is the median?

A:

Q: Assume that women have heights that are normally distributed with a mean of 63.6 inches and a…

A:

Q: Assume that the average length of some wire is 52 inches with a standard deviation of 6.5 inches. At…

A: Given: The average length of the wire, μ=52 Standard deviation, σ=6.5 We need to determine at most…

Q: What proportion of skiers will finish the race in exactly one minute?

A: The tume it takes for downhill skiers to finish a race follows a Normal distribution with a mean of…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days…

A:

Q: On a standardized exam, the scores are normally distributed with a mean of 120 and a standard…

A: Mean(μ)=120 Standard deviation(σ)=10 Raw score(X)=115

Q: Assume a normal distribution of a sample with a Mean of 10, and a standard deviation of 2.  Convert…

A: We have given that.   X~N( μ , ?^2 )   μ = 10, ? = 2   Z-score =( x - μ )/?

Q: The duration of human pregnancies are normally distributed with a mean of 267 days and a standard…

A: X follows a Normal distribution with mean = 267 and S.D = 16 Then z=(x-mean)/SD = (x-267)/16…

Q: Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 65…

A: Given that  X~N( μ = 65 , ? = 5 ) μ = 55 , ? = 5

Q: A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was…

A:

Q: The length of pregnancies are normally distributed with mean of 268 days and a standard deviation of…

A: Given : Length of pregnancies = X  X is normally distributed  Mean of X = 268 days  Standard…

Q: Suppose you organized a​ 10-kilometer race in which the times were normally distributed with a mean…

A: Let X be any selected finishing time. Here, we have to find the percentage of runners took longer…

Q: Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 67…

A: Empirical rule is used in statistics and probability.

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 270 days…

A: Let "X" be the lengths of pregnancies in a small rural village in days.

Q: What is the equation for The standard deviation of the distribution of sample proportions

A: Let p be the population proportion of successes.

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

A:

Q: The MF exam has a population mean of 500 and a standard deviation of 200. What are the scores for…

A: Let X=MF exam scores We have given information, The population mean μ=500 And population standard…

Q: If a class has an average of 71  with a SD of 10, use a Normal Curve to estimate the percent of the…

A:

Q: A hiring manager rates a large pool of job applicants for eligibility for a job vacancy. The ratings…

A: Determine the value of rating score that separates the top 10% with the rest.   The value of…

Q: A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was…

A: We have, X= A standardized​ exam's scores the mean test score was 1549 and the standard deviation…

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.