) = P ( Z < )The mean number of hours of sleep that a college student gets per night is 6 hours with a standard deviation of 3 hours. A random sample of fortystudents is observed. It is of interest to determine the probability that a single student gets less than 5 hours of sleep at night. Identify the correctformula for solving.P (X < 5) = P ( 2(6–5)Z <3®,")O P(X <5) = P ( Z <(5–6)3(5–6)P (X < 5) = P ( Z <3V40P(X < 5) = P ( Z < ®,")O P(X < 5) = P(z < ")(5-6)9(6–5)3V40P (X < 5) = P ( Z <(5–6)9.V40(5–6)P (X < 5) = P (ZV40O None of the above / Unable to solve

We have given that. X~N( μ , ?^2 ) μ=6 , ? =3 , n=40 Z-score =( x - μ )/?

Answered: The mean number of hours of sleep that…

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

Assume that adults have IQ scores that are normally distributed with a mean of mμ=100 and a standard deviation σ= 15. Find the probability that a randomly selected adult has an IQ less than 127. The probability that a randomly selected adult has an IQ less tha 127 is
An IQ test is designed so that the mean is 100 and the standard deviation is 21 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 7 IQ points of the true mean. Assume that σ=21 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is nothing. (Round up to the nearest integer.) Would it be reasonable to sample this number of students? Yes. This number of IQ test scores is a fairly large number. No. This number of IQ test scores is a fairly small number. No. This number of IQ test scores is a fairly large number. Yes. This number of IQ test scores is a fairly small number.
When a population is finite, the formula that determines the standard error of the mean needs to be adjusted. If N is the size of the population and n is the size of the sample (where n ≥ 0.05N), the standard error of the mean is shown below. The finite population correction factor is given by the expression √(N-n)/(N-1). Determine the finite population correction factor for each of the following. (a) N = 1400 and n = 1050 (b) N = 1400 and n = 140 (d) N = 1400 and n = 70 (c) N = 1400 and n = 75 (e) What happens to the finite population correction factor as the sample size n decreases but the population size N remains the same? (a) The finite population correction factor is (Round to three decimal places as needed.) (b) The finite population correction factor is (Round to three decimal places as needed.) (c) The finite population correction factor is (Round to three decimal places as needed.) (d) The finite population correction factor is (Round to three decimal places as needed.) (e)…
An IQ test is designed so that the mean is 100 and the standard deviation is 17 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99% confidence that the sample mean is within 5 IQ points of the true mean. Assume that σ=17 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is
Suppose that the recovery time from the infection with a certain virus is normally distributed with a mean of 6.5 days and a standard deviation of 1.5 days. Answer each question. Draw a graph illustrating the recovery time. Make sure to indicate 3 standard deviations from the mean. P(X>7.3)=? P(X <4.7)=? P(5.1<X<7.7)=? John's recovery time is lasting more than 9.2 days. Is it unusual (and should he be concerned yet)? What is the middle 90% recovery time? What is the 80%tile recovery time?
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between -2.421°C and -2.271°C.P(−2.421<Z<−2.271)
Suppose x has a distribution with a mean of 65 and a standard deviation of 36. Random sample size n= 81 are drawn. Describe the x distribution and compute the mean and standard deviation of the distribution. Find the z value corresponding to x=77. Find p(x<77). Would it be unusual for a random sample of size 81 from the x distribution to have a sample mean less than 77
A sample of n = 7 scores has a mean ofM 5. After one new score is added to the sample, the new mean is found to be M 6. What is the value of the new score? (Hint: Compare the values for EX before and after the score was added.)
A sample of n=20 scores has a mean of M=32 and a standard deviation of s=6. In this sample, what is the z-score corresponding to X=28?
An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99% confidence that the sample mean is within 4 IQ points of the true mean. Assume that σ=10 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
Suppose that scores on a particular test are normally distributed with a mean of 120 and a standard deviation of 17. What is the minimum score needed to be in the top 5% of the scores on the test? Carry your intermediate computations to at least four decimal places, and round your answer to one decimal place. X 4
A study is conducted to determine factors in solving missing persons cases. The outcome is Y; which is equal to 1 if the i-th missing person case is unsolved and 0 if it is solved. Let covariate X1; be an indicator equal to 1 if the i-th case is female and 0 for male. Let X2i be a categorical covariate of age group for the i-th case. Categories are less than 14 years old (base level/group), between 14 and 19 years old, and older than 19 years. Set u = P(Y = 1) and the following model is fit: logit(u) = Bo + BịI(Female) + B2I(14 to 19 yrs old) + B3I(> 19 yrs old) The output from the model is below: Estimate S.E. p-value Bo -4.565 0.128 0.380 0.087 B2 Вз -0.198 0.042 0.163 1.128 0.133 a. Using the logistic regression output, calculate the estimated odds ratio of a case being unsolved (again Y=1 is unsolved and Y=0 is solved) comparing females to males (female is the numerator odds) of the same age. Interpret this odds ratio in context of the problem. iii b. Create a 95% confidence…

SEE MORE QUESTIONS

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