An Independent consumer group published its finding that the lifetimes of electric bulbs manufactured by BIG Corporation are approximately normallydistributed with a mean of 600 days and a standard deviation of 120. BIG Corporation claims that the standard deviation of its electric bulbs is less than 120.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 H₂that we would use for this test.XРHo: OH₁: D6OSOSO >0DTINED=0 0=0Checktabesc12!1←9a@2WS#3eсd$4r%5facer**tDIIA6gy0&7Ⓒ2022 Mhu8j00國8民□□□BD

We have given the following information about the hypothesis Mean = 600 Standard deviation =120

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

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16
BIG Corporation advertises that its light bulbs have a mean lifetime, μ , of 2900 hours. Suppose that we have reason to doubt this claim and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 3040 hours and that the sample standard deviation of the lifetimes is 600 hours. Based on this information, answer the questions below. What are the null hypothesis ( H0 ) and the alternative hypothesis ( H1 ) that should be used for the test? H0 : μ is H1 : μ is In the context of this test, what is a Type II error?A Type II error is the hypothesis that μ is when, in fact, μ is .Suppose that we decide to reject the null hypothesis. What sort of error might we be making?
A sample of 20 third-grade students had a average of 54 on a math proficiency test, with a sample standard deviation of 11. Is there enough evidence to conclude that the third-grade sample mean differs significantly from the third-grade population mean of 67? Assume a 0.02 significance level. Use the Critical Value Method of Testing (this means NO P-Values!). will need to have -1. The null hypothesis, Ho 2. The alternative hypothesis, H1 3. The test statistic4. The type of test(left, right, two-tailed) and the p-value 5. The decision to accept Ho or reject Ho
The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.9auto accidents per day with a standard deviation of 0.04 . The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.04 . Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test. H0 : ? H1 : ?
Data provided by the National Association of College Employers indicated that the average starting salary for graduates with a Bachelors Degree in Accounting was $37,000 in 2008. In June 2010 a sample of 48 graduating accounting majors provided a sample average starting salary of $38,100, with a sample standard deviation of $5200. Conduct a hypothesis test to determine if it can be assumed that accounting graduates in 2010 had higher average salaries than graduates in 2008, using α = .05.
A survey using a sample size of 11 reveals that the average size of dairy farms in Simcoe County is 1500 hectares with a standard deviation of 150 hectares. As a researcher, you take this information and conduct a hypothesis test and find the calculated value of the test statistic is 2.2. Prior to the study, the following hypotheses were established: но: и - 1400 H1: u > 1400 Use a = 0.01. Based on the test statistic and sample size, what the p-value is so we should the null hypothesis. _(0.0262, .0262, 0.026, .026) Given that the p-value is (greater/less) (greater, larger, >, bigger) than a, we should (accept/reject) _ lаccept) the null hypothesis. 0.062, reject ) 0.0131, accept 0.0026, reject ) 0.0262, accept 0.062, accept
You are a safety auditor who is responsible for coming into an Amazon warehouse and checking for the amount of accidents per day. This particular warehouse is hovering at the maximum of allowable accidents of 4 per day. Over the next 28 days, you observe the warehouse and find that there is an average of 6.4 accidents per day with a standard deviation of 1.45. Construct a hypothesis test at an alpha level of .05 to find out if the average number of accidents per day is not the stated amount.
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
Number 4
You are a safety auditor who is responsible for coming into an Amazon warehouse and checking for the amount of accidents per day. This particular warehouse is hovering at the maximum of allowable accidents of 4 per day. Over the next 28 days, your observe the warehouse and find that there is an average of 6.4 accidents per day with a standard deviation of 1.45. Construct a hypothesis test at an alpha level of .05 to find out if the average accidents per day is not the stated amount.

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