The heights of the women are normally distributed with a mean of 64.4 inches and a standard deviation of 2.9 inches. If 36 women are selected at random, find the mean of the population of sample means.

The heights of the women are normally distributed with a mean of 64.4 inches and a standard deviation of 2.9 inches. If 36 women are selected at random, find the mean of the population of sample means.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 2GP

See similar textbooks

Related questions

Q: The heights of adult men in America are normally distributed, with a mean of 69.7 inches and a…

Q: On a standardized test, scores are normally distributed with a mean of 400 and a standard deviation…

A: Given data,μ=400σ=80P(X<x)=80%=0.80x=?

Q: In a county male height is normally distributed with a mean of 175 cm and a standard deviation of 6…

Q: The lengths of brook trout caught in a certain Colorado stream are normally distributed with a mean…

A: Given that : Mean = 14 inches S. D = 3 inches Here we use standard normal distribution concept…

Q: The depth of the snow in my yard is normally distributed, with a mean of 2.5 inches and a standard…

A: It is given that the depth of the snow follows a normal distribution with mean 2.5 inches and…

Q: The heights of 1000 students are normally distributed with a mean of 174.5 centimeters and a…

Q: The heights of men, in centimetres, are normally distributed with a mean of 175 and a standard…

Q: A history class has 95 members. If there is a 22% absentee rate per class meeting , find the mean…

Q: If a distribution has a mean of 50 and a standard deviation of 5, what value would be -1 standard…

A: Given, μ=50σ=5z=-1x=?

Q: The time taken to boil a kettle is normally distributed with a mean of 94 seconds and a standard…

A: The provided information is µ=94 σ=6 P(-a<X<a)=0.40…

Q: If the average number of textbooks in professors' offices is 14, the standard deviation is 5, and…

A: Given that For textbooks, mean = 14, and SD = 5 For age, mean = 42, and SD = 10

Q: If on an average 8 ships out of 10 arrive safely at a port, find the mean and standard deviation of…

Q: The weights of miniature horses are roughly normally distributed with a mean of 230 pounds and…

A: Given : The weights of miniature horses are roughly normally distributed with a mean of 230 pounds…

Q: What is the Z score of an individual with a height of 183cm if the mean of the population is 170cm…

A: Given that mean = 170 SD = 6.1 And the height of individual X = 183

Q: heights of adult women in the United States are normally distributed with a mean of 65 inches and a…

A: The z score can be calculated as: z=x-μσ The required z score that is associated with the top 10% or…

Q: If a one-person household spends an average of $62 per week on groceries, find the maximum and…

A: GivenMean(μ)=62standard deviation(σ)=10

Q: If the mean height of bonsai trees is 52 cm with a standard deviation of 10 cm, 95% of the trees are…

A: NOTE : As per our guidelines we have to answer the first question if multiple questions are posted…

Q: On a final examination in Biology, the mean was 75 and the standard deviation was 12. What is the…

A: Given problem Given that On a final examination in Biology, The mean was = μ = 75 The standard…

Q: A class has an average height of 68 inches and a standard deviation of 2 inches. Find each value,…

A: For the given data Mean μ = 68 inchesStandard deviation σ = 2 inches

Q: the length of a certain species of fish were found to be normally distributed. the mean length is 72…

A: Any assumption about the parameter or probability function is called a hypothesis. Given data are…

Q: If the probability of defective bolt is 0.1, find the mean and the standard deviation for the number…

A: Given the probability of a defective bolt is, 0.1 That is, p=0.1 The total number of bolts is, n=400…

Q: If the range of a data set is 56, find the approximate value of the standard deviation, using the…

Q: The mean life of a battery is 55 hours with a standard deviation of 6 hours. The manufacturer…

Q: The heights of adult men in America are normally distributed, with a mean of 69.1 inches and a…

Q: The lengths of trout in a certain lake are normally distributed with a mean of 7 inches and a…

Q: Would lun ne IS! 12. Antonio's height is 1 standard deviation below the mean for boys his age. If…

A: Antonio's height is 1 standard deviation below the mean for boys his age. The heights of boys are…

Q: In an all boys school, the heights of the student body are normally distributed with a mean of 69…

Q: The heights of 18 year old men are normally distributed with a mean of 67 inches and a standard…

A: Given information- Population mean, µ = 67 inches Population standard deviation, σ = 3 inches We…

Q: The score on a test have a mean of 100 and standard deviation of 15. If a personnel manager wishes…

A: From the given information we find the cut off score.

Q: Suppose that the heights of 4-year old boys are normally distributed with a mean of 103cm and a…

A: Let X be the random variable from normal distribution with mean (μ) = 103 cm and standard deviation…

Q: The mean height of a population of men is 70.8 inches and the standard deviation is 3.2 inches. What…

Q: The scores on a university examination are normally distributed with a mean of 70 and a standard…

A: The scores of a university are normally distributed with mean 70 and s standard deviation 10.Given…

Q: Assume that the heights of 400 basketball players are normally distributed with a mean of 175 cm and…

A: 3. Assume that the heights of 400 basketball players are normally distributed with a mean of 175 cm…

Q: If the range of a data set is 64, find the approximate value of the standard deviation, using the…

A: Given information- Range = 64 We have to find the approximate value of the standard deviation using…

Q: The weights of miniature horses are roughly normally distributed with a mean of 230 pounds and…

Q: A maths class has 100 members. If there is a 15% absentee rate per class meeting , find the standard…

Q: In a particular city, the weight of newly born babies is normally distributed with a standard…

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

A: Given,sample size (n)=50sample mean(μ)=268standard deviation (σ)=15

Q: The heights of male students are normally distributed with a mean of 170 cm and a standard deviation…

A: The heights of male students are normally distributed with a mean of 170 cm and a standard deviation…

Q: What is the z-score if our standard deviation was 2, mean of 49 and our specific observation is 47?

A: Given: Standard deviation = 2 Mean= 49 Specific observation =47 Determine the Z- score using the…

Q: The heights of people are normally distributed with a mean of 86 inches and a standard deviation of…

A: X follows a Normal distribution with mean = 86 and S.D = 5 Then z=(x-mean)/SD = (x-86)/5 follows…

Q: Based from the record, the mean weight of the newborn babies is 4.8 lbs with a standard deviation of…

Q: The heights of adult men in America are normally distributed, with a mean of 69.6 inches and a…

A: Z - score : A Z-score is a numerical measurement that describes a value's relationship to the mean…

Q: Based from the record, the mean weight of the newborn babies is 4.8 lbs with a standard deviation of…

A: Given that Population Mean=4.8 Standard deviation=0.75 Sample size=60

Q: If a normally distributed group of test scores have a mean of 70 and a standard deviation of 12,…

A: It is given that the mean is 70 and the standard deviation is 12.

Q: In a county male height is normally distributed with a mean of 177 cm and a standard deviation of 6…

Q: The mean height of male college students in a large city is 68 inches and the standard deviation is…

A: Answer:----. Date:----10/10/2021

Q: Suppose the distribution of heights of a group of 300 children is normal, with a mean of 150…

A: Consider the provided data, Number of children = 300 mean, μ=150standard deviation, σ=12 We need to…

Q: The weights of baby tortoises are approximately normally distributed with a mean of 25.6 ounces and…

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution