The average person uses 130 gallons of water daily. If the standard deviation is 35 gallons , find the probability that the mean of a randomly selected sample of 25 people will be between 110 and 135 gallons.Assume the variable is normally distrubuted

Q: the manager of a small dry cleaner employs six people. as part of their personal file, she asked…

A: Given data 12.7,  24.5, 40.4, 30.8, 22.5, 15.6

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

A: (a)   Obtain the probability that pregnancy will last 307 days or longer. The probability that…

Q: CNNBC recently reported that the mean annual cost of auto insurance is $1019. Assume the standard…

A: Given that  Mean = 1019 Standard deviation = 238 Sample size = 72

Q: In​ 2007, the mean property crime rate​ (per 100,000​ people) for the 24 states west of a certain…

A: Given  In​ 2007, the mean property crime rate​ (per 100,000​ people) for the 24 states west of a…

Q: The weight of a truck tire must be 110 lbs. The company has a low specification limit of 100 lbs.…

A: The mean weight of a truck tire = 110 lbs Lower specification limit (LSL) = 100 lbs Upper…

Q: Students pass a test if they score 50% or more. The marks of a large number of students were sampled…

A: Given information- Population mean, µ = 42% Population standard deviation, σ = 8% We have given that…

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: According to the Department of Education, 60% of college students enjoy taking Statistics. Suppose…

A: Let  X be the number of students who enjoy taking Statistics in a sample of 200. Given n = 200…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 300lbs and the…

A: Solution: Let X be the weights of steers in a herd. From the given information, X follows normal…

Q: If the average weight for cats is 12 pounds and the standard deviation is 2 pounds. 68 percent of…

A: Given data: If average weight for cats = 12 pounds standard deviation = 2 pounds. To find: 68% of…

Q: The average price of a college math textbook is $168 and the standard deviation is $20. Suppose that…

A: The average price of a college math textbook is $168 and the standard deviation is $20. Suppose that…

Q: Assume that weights of men are normally distributed with a mean of 160 pounds and a standard…

A: Given, Weights of men follows normal distribution with mean 160 pounds and standard deviation 25…

Q: A data set is formed by recording the sums in 400 rolls of a pair of a dice. A second data set is…

A: Standard deviation:The standard deviation indicates by how much each observation differs from a…

Q: A population has a mean of 200 and a standard deviation of 25. A sample of 64 observations will be…

A: We have to find out given probabiity..

Q: 9% of all cars fail the emissions inspection, find the probability that in a sample of 125 cars, 16…

A: Given n=125 P=0.09

Q: find the margin of error of a 99% confidence interval for the mean score of all student

A: It is given that  Sample mean = 93 Sample standard deviation, s = 7 Sample size, n = 30

Q: After 5 points are added to each score in a sample, the mean is found to be M=45 . What was the…

A: Given data: c = 5 points are added to each score in a sample. New mean, M = 45 Let the original mean…

Q: suppose data set A has a mean of 12 and a standard deviation of 2.5  Data set B has a mean of 12…

A: The formula for coefficient of variation is, CV = (s/ x̅ ) × 100%, where s is the sample standard…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 200 lbs and the…

A: From the above given data the following solution is provided below:

Q: Write out the formula of the standard deviation of a variable called X in a population. Be sure to…

A: 1.  Write out the formula of the standard deviation of a variable called X in a population. Be sure…

Q: the data set has a size 50, how many observations lie within 2 standard deviations of the mean

A: From the provided information, Sample size (n) = 50 The observations lie within 2 standard…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 300lbs and the…

A:

Q: Suppose, you play a game, and the result is simply "win" or "lose". For every 15 games played, you…

A:

Q: A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the…

A: Let X be the weight follows uniform distribution with lowest weight 24 pounds and highest 26 pounds.…

Q: Trucks in a delivery fleet travel a mean of 130 miles per day with a standard deviation of 39 miles…

A: The data on per day mileage of a delivery truck is normally distributed. Population mean, Population…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 200lbs. and the…

A: Let "X" be the weight of steers in a herd.

Q: Thirty randomly selected students took the calculus final. If the sample mean was 74.2 and the…

A: From the provided information, Sample size (n) = 30 Sample mean (x̅) = 74.2 Standard deviation (s) =…

Q: Use the normal distribution of IQ scores, which has a mean of 75 and a standard deviation of 18 ,…

A: X~N(μ=75,σ=18)

Q: Overweight Men For a random sample of 60 overweight men, the mean of the number of pounds that they…

A: From the provided information, Sample size (n) = 60 Sample mean (x̄) = 31 pounds Standard deviation…

Q: A simple random sample of 28 observations was taken from a large population. The sample mean equaled…

A: It is given that, a simple random sample of 28 observations was taken from a large population with…

Q: A large number of applicants for admission to graduate study in business are given an aptitude test.…

A:

Q: On the daily run of an express bus, the average number of passengers is 48. The standard deviation…

A: Let "X" be the average number of passengers on the daily run of an express bus.

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7.2…

A:

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.