A manufacturer uses machines to package sweets. The information printed on the packages states thatthe total weight of sweets per package is 225g. A customer claims that this value is too high. A sample of25 packages yielded a mean weight of 221g with a standard deviation of 3g. It is assumed that thepackage weight is normally distributed. The value of the test statistic is equal to -6.7.1. In testing the hypothesis H1: µ < 225 at the 2.5% level of significance, the rejection region is:O a. (-*, -2.064)O b.(-*, +2.064)O . (-2.064, +*)O d. (+2.064, +*)2. The correct decision is:Оа. Ассеpt HoO b. Reject HoOC. Fail to accept HoO d. Fail to reject Ho3. The correct conclusion is:O a. There is sufficient evidence to prove the manufacturer's printed informationO b. There is insufficient evidence to prove the manufacturer's printed informationOc. There is sufficient evidence to support the customer's claimO d. There is insufficient evidence to support the customer's claim

Answered: Image /qna-images/answer/871442c2-a277-407f-a655-5f21f96da7e4.jpg

Answered: A manufacturer uses machines to package…

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

A researcher is interested in seeing if the average income of rural families is greater than that of urban families. To see if his claim is correct he randomly selects 33 families from a rural area and finds that they have an average income of $67042 with a population standard deviation of $504. He then selects 55 families from a urban area and finds that they have an average income of $65999 with a population standard deviation of $770. Perform a hypothesis test using a significance level of 0.05 to test his claim. Let rural families be sample 1 and urban familis be sample 2. The correct hypotheses are: HA: H > H2 1„(claim) Ho : 41 2 H2 (claim) > It : 'H H, : H1 = H2 4„(claim) Since the level of significance is 0.05 the critical value is 1.045 The test statistic is (round to 3 places) The pvalue is: (round to 3 places) The decision can be made to: reject H, do not reject H, The final conclusion is that: There is enough evidence to reject the claim that the average income of rural…
The mean consumption of water per household in a city was 1244 cubic feet per month. Due to a water shortage because of a drought, the city council campaigned for water use conservation by households. A few months after the campaign was started, the mean consumption of water for a sample of 96 households was found to be 1164 cubic feet per month. The population standard deviation is given to be 257 cubic feet. a. Find the p-value for the hypothesis test that the mean consumption of water per household has decreased due to the campaign by the city council. Would you reject the null hypothesis at a = 0.025? Round your answer to four decimal places. p-value = We i b. Make the test of part a using the critical-value approach and a = 0.025. Zobserved Round your answer for z to two decimal places. We Ho. i Ho. We conclude that the mean consumption of water per household has due to the campaign by the city council.
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 13 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of 70 screws. The sample mean screw length was 13.01 centimeters. The population standard deviation is known to be σ=0.15 centimeters. What is the null hypothesis? What is the alternative hypothesis?
State the null and alternative hypotheses. John, a restaurant owner, suspects that prices of tomatoes in Bury are higher than the rest of Manchester. He finds that the city average price of a certain type of premium tomatoes is £20.9 with standard deviation £0.95. He takes a sample of this type of tomato from 5 local Bury stores and obtains an average price of £22.46.
Among private universities in the United States, the mean ratio of students to professors is 35.2 (i.e., 35.2 students for each professor) with a standard deviation of 8.8. Suppose a random sample of 50 universities is selected and the observed mean student-to-professor ratio is 38. Is there evidence that the reported mean ratio actually exceeds 35.2? Use  = 0.05 and conduct the appropriate hypothesis test. ( See attached picture )
A statistics student randomly selected 45 packets of sugar and weighed the contents of each packet, getting a mean of 3.586 g and a standard deviation of 0.194 g. Test the claim that the weights of the sugar packets have a mean no longer equal to 3.5 g, as indicated on the label. Let "alpha" be 0.10 to test this claim. What is the decision/summary statement for this test?
(b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic is given by √n The p-value is the area under the curve to the right of the value of the test statistic. O One-tailed o Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p- value. Step 4: Enter the p- value. (Round to 3 decimal places.) 0.3 0.2 0.1 (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the studio. o Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean player rating is higher than 90. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean player rating is higher than 90.…
A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than 19 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 94 bolts. The sample mean bolt length was 19.06 centimeters. The population standard deviation is known to be o = 0.26 centimeters. What is the test statistic z? Ex: 1.23 What is the p-value? Ex. 0.123 Does sufficient evidence exist that the length of boltş is actually greater than the mean value at a significance level of a = 0.01?[ Select v
Systolic blood pressure levels above 120 mm Hg are considered to be high. For the 100 systolic blood pressure levels listed in the accompanying data set, the mean is 128.86000 mm Hg and the standard deviation is 15.28254 mm Hg. Assume that a simple random sample has been selected. Use a 0.01 significance level to test the claim that the sample is from a population with a mean greater than 120 mm Hg.LOADING... Click the icon to view the data set of systolic blood pressure levels. the attachement is listed below. and the systolic blood pressure data is listed below Body and exam measurements are from 100 subjects. SYSTOLIC is systolic blood pressure (mm…

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