a) Let X,, X2..„X, are independent random samples taken from population with mean andvariance of u and o? respectively. Determine whether A is an unbiased estimator of uif,i= (X, +X, +.+Xr,)2b) A lecturer is investigating the proportion of students who are ready for online learning inSTA150 class. It is found that from previous study, 65% of the students are ready foronline learning. How large a sample is needed if the lecturer wishes to be 99%confidence with the margin of error is within 5%?c) A medical researcher has conducted a study that involved 200 hypertension patientsand 180 hypotension patients. It was found that 80 of those with hypertension and 108of those with hypotensionfor the difference between the two proportions of patients. Interpret the interval obtained.dizziness problems. Construct a 99% confidence interva

Note: Hi there! Thank you for posting the questions. As there are several independent questions,…

Answered: Let X1. X2.Xp are independent random…

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

Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, u, spent by customers at the supermarkets has been reported to be 35 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that u is greater than 35 minutes. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 42 minutes and the standard deviation of the times to be 10 minutes. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? H: u is ? H: u is ? In the context of this test, what is a Type I error? A Type I error is ? fact, u is ? ? v when, in v the hypothesis that u is? v? v. Suppose that the consultant decides to reject the null hypothesis. What sort of error might she be…
Ensure the RaceResults worksheet is active, then use the FREQUENCY function to calculate the frequency distribution of the race results in column D. Place your results in the range G4:G9. Enter a function in cell F22 to calculate the correlation between age (Columns C) and race time (Column D). Enter a function in cell G22 to calculate the covariance between age and race time. Enter a function in cell H22 to calculate the variance of the ages in the data set. Note this is a sample of data not a population. Enter a function in cell 122 to calculate the standard deviation of the ages in the data set.
Three people are invited to participate in a seminar. Assume all four people arrives independently, and the probability of any one of them is late is 0.2. Let X be the number of late participants of the seminar. Find the distribution (pmf) of X. Calculate the mean and the variance of X.
Consider X is a random variable and has equal probability of being -1,0,+1. What is the correlation between X and Y while Y=X*X.
Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, µ, spent by customers at the supermarkets has been reported to be 40 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that u is greater than 40 minutes. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 44 minutes and the standard deviation of the times to be 15 minutes. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? Hiµ is ? H: p is ? In the context of this test, what is a Type II error? A Type II error is ? fact, u is ? the hypothesis that u is when, in Suppose that the consultant decides not to reject the null hypothesis. What sort of error might she be making?
Assume that we have estimated the standard deviation of a sample x₁,. ., xn ER using the sample standard deviation s = ô(x₁,x2,...,xn). What does ô(−2x1, −2x2,..., -2xn) equal? A: s B: -4s C: 4s D: -2s E: 2s
In order to use the defining formula for variance, we must calculate (x − x)2 for each data value in the data set 14, 18, 22, 26, 33. Use the values in the data set and the mean x = 22.6 to fill out the following table. x 14 18 22 26 33 x 22.6 22.6 22.6 22.6 22.6 x − x 14 − 22.6 = −8.6 18 − 22.6 = __________ 22 − 22.6 = −0.6 26 − 22.6 = _________ 33 − 22.6 = 10.4 (x − x)2 73.96 __________ 0.36 ________ 108.16
9
There are two independent random variables X and Y. X has mean 4 and standard deviation , and Y also has mean 4 and standard deviation . A random variable W is the difference between X and Y. That is, W = X - Y. Calculate the mean of W.
Suppose that the probability that a patient admitted in a hospital is diagnosedwith a certain type of cancer is 0.03. Suppose that on a given day 10 patients areadmitted and X denotes the number of patients diagnosed with this type of cancer.Determine the probability distribution of the random variable X. Find the meanand the variance of X
An experiment where a patient's blood pressure is measured before a treatment (call it X;) and after the treatment (call it Y;). The difference in the blood pressue of each patient, Z; = Y; – X; is also recorded. The sample size n of patients is large. Suppose the true population mean of the patient's blood pressure before treatment is 41 and after treatment is 42, both unknown. Suppose the true population variance of the patient's blood pressue before and after treatment are the same, but unknown. Find an approximate 1-a confidence interval for 12 - 41- 2.
3. Help

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

Let X1. X2.Xp are independent random samples taken from population with mean and variance of u and o? respectively. Determine whether A is an unbiased estimator of u if; à- n(X, +X; +..+x,)