answer only the guide questions. ty IsPopulationVarianceStandaroError of theMeanGiverFormula tobe UsedProblem/Situation(Known orUnknown)5. An SHS teacher claims thatthe average time it takes a groupof students to complete theMathematics examination is 50.5minutes with a variance of 17.64minutes. She randomly selected45 students and found to have amean of 52 minutes and astandard deviation of 3.5minutes. She then used the z-distribution to find out if the groupcan complete the exam fasterthan the population.o2 =Hg =Sz =6. A manufacturer of lightbulbsproduces bulbs that last a meanof 800 hours with a standarddeviation of 100 hours. Toassess the claim of theg2 =manufacturer, a random sampleof 12 of these bulbs was testedand found to have a mean of 790hours. He then used the testvariate t =Guide Questions:1. How were you able to define the given values from each of the situationgiven?2. What pattern are you using in determining whether the populatiovariance is known or unknown?3. How weru you able to identify the standard error of the mean to be usedi

Part a. For 5 . population mean (μ)=50.5Polation variance (σ2)=17.64sample size (n)=45Sample mean…

Answered: Star Error of the Mean Is Population…

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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In attempting to improve student services, a college investigates its registration processand finds that for 12 randomly selected students, the mean registrationi timewas 73.2 minutes with a standard deviation of 14.2 minutes. Another collegei findsthat for 15 randomly selected students, the mean registration time was 42.3 minutes with a standard deviation of 9.8 minutes. At the 0.01 significance level, test the claim that the two samples came from populations with the same means. Assumeequal population variances.
nsurance Company A claims that its customers pay less for car insurance, on average, than customers of its competitor, Company B. You wonder if this is true, so you decide to compare the average monthly costs of similar insurance policies from the two companies. For a random sample of 9 people who buy insurance from Company A, the mean cost is $150 per month with a standard deviation of $⁢18. For 13 randomly selected customers of Company B, you find that they pay a mean of $160 per month with a standard deviation of $12. Assume that both populations are approximately normal and that the population variances are equal to test Company A’s claim at the 0.10 level of significance. Let customers of Company A be Population 1 and let customers of Company B be Population 2. Step 3 of 3 : Draw a conclusion and interpret the decision.
Insurance Company A claims that its customers pay less for car insurance, on average, than customers of its competitor, Company B. You wonder if this is true, so you decide to compare the average monthly costs of similar insurance policies from the two companies. For a random sample of 11 people who buy insurance from Company A, the mean cost is $⁢150 per month with a standard deviation of $⁢12. For 13randomly selected customers of Company B, you find that they pay a mean of $⁢159 per month with a standard deviation of $18. Assume that both populations are approximately normal and that the population variances are equal to test Company A’s claim at the 0.10 level of significance. Let customers of Company A be Population 1 and let customers of Company B be Population 2. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. H0: μ1=μ2: Ha: μ1__μ2 Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal…
To encourage its employees the Roman Rubber Factory offers a special bonus between the administrative group and the blue-collar group if they manage to get 320 or more followers per week start following your accounts on social networks. Knowing that the number of Followers earned per week of the group of workers administrative follows a normal distribution with mean 290 followers and a variance of 400 followers while the group of workers follows a normal distribution with mean of 300 followers and standard deviation of 10 followers. To which of the two groups of employees are more likely to receive the bonus?
The American Association of University Professors (AAUP) conducts salary studies of college professors and publishes its finding in AAUP Annual Report on the Economic Status of the Profession. Suppose that we want to decide whether the mean salaries of college faculty in private and public institutions are different. Independently and randomly take 35 sample of faculty members from private institutions with mean 88 and the population standard deviation is 5 and take 30 sample of faculty members from public institutions with mean 73 and the population standard deviation is 6. At 5% level of significance that the mean salaries of college faculty in private and public institutions are different.(MAKE SURE NO PLAGIRISM WILL MARKED/ NOT ALLOWED)

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Star Error of the Mean Is Population Variance Problem/Situation Givern (Known or Unknown) Formula to be Used 5. An SHS teacher claims that the average time it takes a group of students to complete the