An independent consumer group published its finding that the lifetimes of electric bulbs manufactured by BIG Corporation are approximately normallydistributed with a mean of 690 days and a standard deviation of 125. BIG Corporation claims that the standard deviation of its electric bulbs is less than 125.Suppose that we want to carry out a hypothesis test to see if BIG Corporation's claim is correct. State the null hypothesis Ho and the alternative hypothesis H₁that we would use for this test.HoH₁0XWA9OSOO=OXXQ☐☐SрN

We have given that Mean(µ) = 690Standard deviations (σ) = 125 σ

Answered: An independent consumer group published…

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 light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 769 hours. A random. sample of 29 light bulbs has a mean life of 756 hours. Assume the population is normally distributed and the population standard deviation is 64 hours. At a = 0.02, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. OB. Ho: H=756 OA. Ho: 769 H₂: μ#756 (claim) Ho: 2769 (claim) H₂H756 (claim)
Breyers is a major producer of ice cream and would like to test the hypothesis that the average American consumes more than 17 ounces of ice cream per month. A random sample of 15 Americans was found to consume an average of 18.2 ounces of ice cream last month. The standard deviation for this sample was 3.9 ounces. Breyers would like to set α = 0.10. The conclusion for this hypothesis test would be that because the test statistic is A) more than the critical value, we can conclude that the average amount of ice cream consumed per month is not greater than 17 ounces. B) more than the critical value, we can conclude that the average amount of ice cream consumed per month is greater than 17 ounces. C) less than the critical value, we can conclude that the average amount of ice cream consumed per month is greater than 17 ounces. D) less than the critical value, we cannot conclude that the average amount of ice cream consumed per month is greater than 17…
According to a report done by S & J Power, the mean lifetime of the light bulbs it manufactures is 49 months. A researcher for a consumer advocate group ests this by selecting 70 bulbs at random. For the bulbs in the sample, the mean lifetime is 46 months. It is known that the population standard deviation of he lifetimes is 9 months. Can we conclude, at the 0.01 level of significance, that the population mean lifetime, μ, of light bulbs made by this manufacturer differs from 49 months? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H₁. Ho :D H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.)…
Group A has 12 people and it is a random sample and they have an average heart rate of 100 and their standard deviation is 5. Group B has 18 people and their average heart rate is 90 and they have a standard deviation of 6. do these sample statistics provide sufficient evidence at a=0.01 to claim that the average heart rate for the population of group A is statistically greater than the heart rate of the population of group B?
A simple random sample of 80 adults is obtained, and each person’s red blood cell count is measured. The sample mean is 6.25 and a standard deviation of .65. Use a .01 significance level to test the claim that the sample is from a population with a mean less than 6.4, which is a value often used for the upper limit of the range of normal values. (For each hypothesis test state H0 and H1)
A psychologist is studying smokers self images, which she measures by the self image (SI) score from a personality inventory. For adults in the U.S., the mean SI score from this inventory is about 140. The psychologist gathers a random sample of 17 SI scores of smokers and finds that their mean is 164 and their standard deviation is 38. Assume that the population of SI scores of smokers is normally distributed with mean μ. Based on the sample, can the psychologist conclude that μ is different from 140? Use the 0.05 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table.
A certain IQ test is known to have a population mean of 100 and standard deviation of 15 in the general population. You want to test whether psychology majors have a different average IQ than the population as a whole. Assume the variance of IQ is the same for Psych majors as it is in the general population. Suppose that Psychology majors actually have an average IQ of 108. If you do a 2-tailed test at α= .05 with a sample of 56 Psychology majors, you will be able to reject the null hypothesis if the mean IQ of your sample is below [L] or above [H]. Find L and H values. Options listed below. [L] answer choices: 96.08, 98.00, 103.92, 104.08, 110.00, 111.92. [H] Answer choices: 96.08, 98.00, 103.92, 104.08, 110.00, 111.92.
Suppose that the average trip time from Oak Park to UIC on the Blue line is 25 minutes and that the standard deviation of the population is 16 minutes (sigma=16). We are interested to know whether the average trip time on Thursdays is shorter. We study a sample of 49 trips on Thursdays and the average is 24.25 minutes. Execute a hypothesis test at alpha=10% that the average trip time on Thursdays is shorter (that is, that it requires a smaller number of minutes). State Ho, Ha, calculate the appropriate statistic, p-value, state whether you reject Ho vs. not and state your conclusion in plain English. What is the largest number of minutes that will allow you to reject Ho? What is the probability that you will reject Ho if mu is actually 24 minutes? Fill in the probabilities in the table below. Also indicate alpha, beta and power. What test concludes Ho is true in population Ho not true in population Reject Ho Not reject Ho
A statistician wishing to test a hypothesis that students score at most 75% on the final exam in an introductory statistics course decides to randomly select 20 students in the class and have them take the exam early. The average score of the 20 students on the exam is 72% and the standard deviation in the population is known to be = 15%. The statistician calculates the test statistic to be –0.8944. If the statistician chose to do a two-sided alternative, the P-value would be calculated by: a. finding the area to the right of –0.8944 and doubling it. b. finding the area to the left of –0.8944 and doubling it. c. finding the area to the right of the absolute value of –0.8944 and dividing it by two. d. finding the area to the left of –0.8944
An independent consumer group published its finding that the lifetimes of electric bulbs manufactured by BIG Corporation are approximately normally distributed with a mean of 700 days and a standard deviation of 121. BIG Corporation claims that the standard deviation of its electric bulbs is less than 121. Suppose that we want to carry out a hypothesis test to see if BIG Corporation's claim is correct. State the null hypothesis H. and the alternative hypothesis H that we would use for this test. Ho: O H₁: 0 μ X p a S 0<0
The human resources department of a large investment bank announced that the number of people it interviews monthly has a mean of 115 with a standare deviation of 15.4. The management of the bank suspects that the standard deviation exceeds 15.4. Suppose that the management wants to take a small sample of months and carry out a hypothesis test to see if its suspicions have support. State the null hypothesis H, and the alternative hypothesis H, that is would use for this test. Ho: O H₁: 0 μ 5 OSO ローロ X X a > * 3 р S 20
An experiment is being conducted to see if one type of animal feed is better than another. The experiment used 120 animals. The weight of the animals was a mean of 70.05 kg with the new food vs 66.61 with the current food being used. The standard deviation of the samples was 11.16lbs. Write your hypotheses in statistics form. Attached is a table of T values. Determine if the new food is contributing to larger weight. Assume an alpha 10%. What would you conclude about the new feed if the alpha were 5%

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