The number of siblings an individual has varies from student to student. The distribution of number ofsiblings is strongly skewed to the right. The central limit theorem says that(a) as we look at more and more students, their mean number of siblings gets even closer to the mean u forall students(b) the mean number of siblings for any number of students has a distribution of the same shape (stronglyskewed) as the distribution for individual students.(c) the mean number of siblings for any number of students has a distribution that is close to Normal.(d) the mean number of siblings for a large number of students has a distribution of the same shape(strongly skewed) as the distribution for individual students.(e) the mean number of siblings for a large number of students has a distribution that is close to Normal.There are 120 students at Francis Howell North High School. Mr. Willott conducts a poll that asks 20randomly selected students how many hours of sleep they got last night. They find that the mean amount ofsleep is 6.7 hours. The population standard deviation is o=2 hours. Can we estimate the standard deviationof the sampling distribution of means by using = = 0.447 hours?2%3DV20(a) No, because "hours of sleep" is not a continuous variable.(b) No, because we can't be sure that the central limit theorem applies to this situation.(c) No, because we don't know that the distribution of sleep hours for the population is approximatelyNormal.(d) No, because the sample is more than 10% of the population.(e) Yes, because all the conditions for using this formula have been met.

According to Central Limit Theorem as we look through a very big data the mean of the data will get…

Answered: There are 120 students at Francis…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Announcements for 83 upcoming engineering conferences were randomly picked from a stack of IEEE Spectrum magazines. The mean length of the conferences was 3.96 days, with a standard deviation of 1.24 days. Assume the underlying population is normal. a)Which distribution should you use for this problem? Explain your choice. The student’s t-distribution should be used because the sample mean is smaller than 30. The student’s t-distribution should be used because the sample standard deviation is given. The standard normal distribution should be used because the mean is given. The standard normal distribution should be used because the population standard deviation is known. b) Construct a 95% confidence interval for the population mean length of engineering conferences. (I)State the confidence interval. (round your answers two decimal points.) (__________ , ___________) (ii)Sketch the graph (round your answers to two decimal places. Enter your a/2 to three decimal places.)…
Assume that the heights of men are normally distributed with a mean of 68.1inches and a standard deviation of 2.8 inches. If 64 men are randomly selected, find theprobability that they have a mean height greater than 69.1 inches.
Jeff is doing an experiment involving mice. The mice weights have mean weight 2.37 ounces and standard deviation 0.053 ounces. Jeff selects 9 mice independently and calculates the sample mean, x̄, of their weights. What is the standard deviation of x̄?
Calculate the estimated standard error for the case where the sample standard deviation is 25 and the sample size 137. Answer to three decimal places if necessary, you may round up or down.
The distribution of the student heights at a large college is approximately bell shaped. If the mean height is 66 inches,and approximately 95% of the heights fall between 32 and 100 inches, then, the standard deviation of the heightdistribution is approximately equal to
Suppose the distribution of heights of a group of 300 children is normal, with a mean of 150 centimeters and a standard deviation of 12 centimeters. About how many of these children are taller than 162 centimeters? children
A reading class can read an mean of 175 words per minute and a population standard deviation of 20 words per minutes. The top 3% of the class is to receive a special award for a random sample of 49 students. What is the minimum average number of words per minute a student would need to read in order to get the award for a random sample of 49 students? Assume the data is normally distributed.
The weight of male contestants is normally distributed with the mean of 93 kg and a standard deviation of 10 kg. If 69% of contestants satisfy a maximum height requirement for police officers, what is the maximum weight requirement?
The principal at Riverside High School would like to estimate the mean length of time each day that it takes all the buses to arrive and unload the students. What is the minimum sample size needed if the principal would like to be 90% confident that the sample mean is off by, at most, 2 minutes. Assume that standard deviation is 14 minutes. (Approximate the final answer)
The first experiment I created 200 samples with 10 students in each and took each sample's mean. The mean of this distribution was about 10.7 miles with a standard deviation of 3.7 miles. (See video) Next I did 200 samples with 20 students each, then I did 200 samples with 50 students each and finally I did 200 samples with 100 students each. Watch the following video and answer the following questions about the sampling distributions being created. 1) For the samples with 100 students each, when the sampling is complete, what will the mean be close to or equal to? 2) For the samples with 100 students each, when the sampling is complete, will the standard deviation be smaller than the standard deviation for the samples with 50 students each? 3) What is the mean of the population of students that I am randomly sampling from? 4) What is the name of the important theorem that I am demonstrating right now.?
Maddie has two different routes that she can take to get to school. The first route is a longer distance, but has no traffic lights. The second route is a shorter distance, but has a lot of traffic lights. The amount of time it takes to get to school by the "longer distance" route follows a Normal distribution with mean 20 minutes and standard deviation o = 1.5 mirutes. The amount of time it takes to get to school by the "shorter distance" route follows a Normal distribution with mean =17 minutes and standard deviation a = 6.5 minutes. Suppose we select independent random samples of 20 days for each route. Let XL-Xs be the đifference in the sample mean travel time for the two routes %3D %3D (a) Calculate the probability that the sample mean time for the longer distance is shorter than the sample mean time for the shorter distance. (b) Should we be surprised if the sample mean time for the longer distance is shorter than the sample mean time for the shorter distance?
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.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS