9. Assume that the content of 15-litres container is normally distributed.To test Ho: u = 15.2 against H1 : u > 15.2, we take a random sample of size n = 25 andobserve that i = 15.6 litres and s = 0.5 litre. (Use 0.01 level of significance)a) Perform the testing by using test statistic.b) Perform the testing by using p-value test.

GivenThe null and alternative hypothesis isH0:μ=15.2H1:μ>15.2sample…

Answered: 9. Assume that the content of 15-litres…

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

27 An expert estimates that the distribution parameter for durability times of parts produced with machine A in the factory is different from the distribution parameter for durability times of parts produced with machine B. Durability times of 4 parts produced from machine A and 4 produced from machine B are given below. Using these data, find the “p” value corresponding to the W a value at 0.05 significance level for the Mann-Whitney U test. a) 4 B) 3 NS) 5 D) one TO) 2nd
In a survey of 490 drivers from the South, 409 wear a seat belt. In a survey of 340 drivers from the Northeast, 291 wear a seat belt. At α=0.05, can you support the claim that the proportion of drivers who wear seat belts is greater in the South than in the Northeast? Assume the random samples are independent. Complete parts (a) through (e). (a) Identify the claim and state H0 and Ha. The claim is "the proportion of drivers who wear seat belts in the South is greater than greater than the same as less than different than in the Northeast." Let p1 represent the population proportion for the South, and p2 represent the population proportion for the Northeast. State H0 and Ha. Choose the correct answer below. A. H0: p1≤p2 Ha: p1>p2 B. H0: p1≠p2 Ha: p1=p2 C. H0: p1≥p2 Ha: p1<p2 D. H0: p1=p2 Ha: p1≠p2 E. H0: p1>p2 Ha: p1≤p2 F. H0: p1<p2 Ha: p1≥p2 (b) Find the critical…
the assumption that the t test for independent samples makes regarding the amount of variability in each of the two groups is called the?
The records of a light bulb manufacturer show that, when the manufacturing machinery is working correctly, the defect rate (due to imperfections in the material used) is 1%. The manufacturer's control department periodically tests samples of the bulbs, and when 1.25% or more are defective, they call repair technicians for service. The control department is going to take a random sample of 4400 light bulbs. Let p be the proportion of defective light bulbs in the sample assuming the machinery is working correctly. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. (b) Find the standard deviation of p. (c) Compute an approximation for P(P ≥ 0.0125), which is the probability that, assuming the machinery is working correctly, the repair technicians will be called. Round your answer to four decimal places.
One sample has n = 15 with SS = 1570, and a second sample has n = 15 with SS =1650.a. Find the pooled variance for the two samples.b. Compute the estimated standard error for the sample mean differences(i.e. for the two groups).c. If the sample mean difference (i.e. M1 – M2) is 8 points, is this enough toindicate a significant difference for a two-tailed test at α = .05 level?d. If the sample mean difference (i.e. M1 – M2) is 12 points, is this enoughto indicate a significant difference for a two-tailed test at α = .05 level?
The records of a light bulb manufacturer show that, when the manufacturing machinery is working correctly, the defect rate (due to imperfections in the material used) is 1%. The manufacturer's control department periodically tests samples of the bulbs, and when 1.5% or more are defective, they call repair technicians for service.The control department is going to take a random sample of 4400 light bulbs. Let p be the proportion of defective light bulbs in the sample assuming the machinery is working correctly. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p. (b)Find the standard deviation of p. (c)Compute an approximation for P(z≥0.015), which is the probability that, assuming the machinery is working correctly, the repair technicians will be called. Round your answer to four decimal places.
A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operations manager of a large taxi company selects a sample of 40 taxis and finds the average age of the taxis is 8.2 years. The σ of the population is 2.3 years. At ? = 0.05, can it be concluded that the average age of the taxis in his company is less than the national average?
A simple random sample of front-seat occupants involved in car crashes is obtained. Among3000occupants not wearing seat belts,36were killed. Among 7697occupants wearing seat belts,18were killed. Use a0.05significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below.
1)Remove the four potential outliers of 0, 0, 8, and 20, and then obtain a new histogram without the outliers. Does the data appear to be normally distributed now? 2)Assuming that the four potential outliers of 0, 0, 8, and 20 are not recording errors, repeat the hypothesis test from part (c) (again setting up the hypothesis test and using either the critical value or p-value approach), and compare your results with that obtained in (c). Did you make a different conclusion? 3)Imagine you know have to make a recommendation/conclusion to the company that hired you: Assuming that the four potential outlies are not recording errors, and looking at the two results above, would you recommend using the first test with the outliers or the second test with the outliers removed? There is no right or wrong answer here, I am interested in what you think and your reasoning.
A state-by-state survey found that the proportions of adults who are smokers in state A and state B were 23.1% and 17.2%, respectively. (Suppose the number of respondents from each state was 2000.) At α=0.05, can you support the claim that the proportion of adults who are smokers is greater in state A than in state B? Assume the random samples are independent. Complete parts (a) through (e).
Listed below are the lead concentrations in mu g/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 21mu g/g. Assume that the sample is a simple random sample. 8 16 17.5 21 22 22 14.5 22.5 12 6.5 Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses?
7. Listed below are measured fuel consumption amounts (in miles per gallon) for a random sample of cars. Acura Rl Acura TSX Audi A6 BMW 525i City Fuel Consumption 18 22 21 21 Highway Fuel Consumption 26 31 29 28 We are going to do a matched pairs test to see if there is sufficient evidence at the 5% significance level to support the claim that there is a difference in city and highway fuel consumption. a. Define the parameter and state the hypotheses. b. Find the observed sample statistic and the test statistic. Use proper notation for the sample statistic (x or pˆ), and clearly identify your test statistic as either a z-score or a t-score. c. Find the p-value of your test statistic. You are required to graph the test statistic on its corresponding distribution, shade the appropriate area, and provide correct calculator documentation. Box final answer. d. Make a generic decision about H0. e. Make a conclusion in the context of the problem. f. Do you have any…

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