You are given the following information obtained from a random sample of 4 observations.24 48 31 57You want to determine whether or not the mean of the population from which this sample was taken is significantly different from 49. (Assume the population is normally distributed.)(a) State the null and the alternative hypotheses. (Enter != for # as needed.)Ho:H₂:(b) Determine the test statistic. (Round your answer to three decimal places.)(c) Determine the p-value, and at the 5% level of significance, test to determine whether or not the mean of the population is significantly different from 49.Find the p-value. (Round your answer to four decimal places.)p-value =State your conclusion.O Reject Ho. There is sufficient evidence to conclude that the mean of the population is different from 49.O Reject Ho. There is insufficient evidence to conclude that the mean of the population is different from 49.O Do not reject Ho. There is insufficient evidence to conclude that the mean of the population is different from 49.O Do not reject Ho. There is sufficient evidence to conclude that the mean of the population is different from 49.

a) A random sample of size 4 is drawn from a population.

Answered: You are given the following information…

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

R4
- test the null hypothesis that the population mean, u is 14.
Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?
Solve second one
The degrees of freedom used when testing two independent samples where the population standard deviation is unknown is Group of answer choices a.n1 + n2 - 2. b.the smaller of n1 - 1 or n2 - 1. c.n1 + n2 - 1. d.the larger of n1 - 1 or n2 - 1.
The following data are from a completely randomized design. In the following calculations, use a = 0.05. Treatment Treatment Treatment 1 3 62 82 69 46 73 53 53 89 61 39 60 45 50 76 57 96.67 156.67 106.67 (a) Use analysis of variance to test for a significant difference among the means of the three treatments. State the null and alternative hypotheses. O Ho: Not all the population means are equal. H3: H1 = H2 = H3 O Ho: Hq # Hz # H3 Ha: H1 = H2 = H3 O H: At least two of the population means are equal. H: At least two of the population means are different. O Ho: H1 = H2 = H3 H: Not all the population means are equal. O Ho: Hq = H2 = H3 Find the value of the test statistic. (Round your answer to two decimal places.) 6.03 Find the p-value. (Round your answer to three decimal places.) p-value = 0.022
You are testing the difference between high school freshmen and seniors on SAT performance. The null hypothesis is that the population mean SAT score of the seniors is equal to the population mean SAT score of the freshmen. You randomly sample 20 students in each grade and have them take the SAT. You find that the sample mean of the seniors is significantly higher than the sample mean of the freshmen. Which alternative hypothesis is accepted? The population mean SAT score of the seniors is less than the population mean SAT score of the freshmen. The population mean SAT score of the seniors is greater than the population mean SAT score of the freshmen. You cannot be sure which alternative hypothesis to accept. You just know that the null hypothesis was rejected
In each situation, find the value of the standardized statistic for the sample mean, and indicate whether the standardized statistic is a t-statistic or a z-statistic. (Round your answer for part (a) to three decimal places.) (a) x = 195, u= 190, s = 21, n = 4 standardized statistic = it's t because s is used instead of o v (b) x = 195,H= 190, o = 25, n = 4 standardized statistic = it's z because o is known (c) x = 168,H= 190, s = 22, n = 25 standardized statistic = : it's t because s is used instead of o
Hi could you answer whats blank?
Hi could you answer whats blank?
Scenario: 200 people were asked, “Who is your favorite superhero?” Below are the data. Test the null hypothesis that the population frequencies for each category are equal. α= .05. Iron Man Black Panther Wonder Woman Spiderman fo = 40 fo = 60 fo =55 fo = 45 fe = fe = fe = fe = Chi Square test statistic = ______ Group of answer choices

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