A tea store manager claims that Branch A has lower average daily sales compared to Branch B. Herecorded the daily sales from a random of 40 days in each tea store. The results are tabulatedbelow. Is there enough evidence to support the claim of the manager? Test the hypothesis at 0.01level of significance.Branch ABranch BP 15500P 53MeanP 17510Standard DeviationP354040а.Null and alternative hypothesisb. Level of significancec. Test statistics to be used and decide whether a one-tailed test or two-tailed testd. Critical value and the rejection region/se. Compute for the value of test statistic.f. State the decisiong. State the conclusion.

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Answered: A tea store manager claims that Branch…

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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This chart shows the results of two random samples that measured the average number of minutes per charge for AA Lithium-ion (Li-ion) rechargeable batteries versus Nickel-Metal Hydride (NiMH) rechargeable batteries. Down below shows the hypothesis test using significance level (α) = 0.05 to determine if the true average number of minutes per charge for NiMH batteries is smaller than that for Li-ion batteries. 1. From the data given what would be the correct p value? (the one tail or the two tail?) 2. Find the point estimate (you can do this by subtracting Group 2 Sample Mean from Group 1 Sample Mean.) 3. Find the Lower Bound of the confidence interval by subtracting the Margin of Error from the point estimate. 4. Find the Upper Bound by adding the margin of error to the point estimate. t-Test: Two-Sample Assuming Unequal Variances NiMH Li-ion Mean 89.35714 95 Variance 3.93956 59.75 Observations 14 17 Hypothesized Mean Difference 0 df…
The Transportation Security Administration would like to compare the average amount of time it takes passengers to pass through airport security at Philadelphia versus Orlando during peak times. A random sample of 25 travelers in Philadelphia spent an average of 14.6 minutes to pass through airport security with a sample standard deviation of 5.8 minutes. A random sample of 27 travelers in Orlando spent an average of 11.5 minutes to pass through airport security with a sample standard deviation of 4.9 minutes. Perform a hypothesis test using α = 0.05 to determine if the average time to pass through security in Philadelphia is more than the average time to pass through security in Orlando. Assume the population variances for time through security at these two locations are equal. Hint: the alternative hypothesis should be μ1 - μ2 > 0.
A simple random sample of 18 male students at a university has an average height of 70 inches. The average height of men in the general population is 69 inches. Assume that male height is approximately normally distributed with σ = 2.8 inches. Conduct a two-sided hypothesis test to determine whether the male students have heights that are significantly different than expected. Show all hypothesis testing steps.
A manufacturer of kitchen water filters claims that their new model of water filter will, on average, treat more than 500 gallons of water before the water quality falls below acceptable levels. Consumer Reports wants to confirm this claim and selects a simple random sample of 60 filters for testing. Water was passed through each filter until the water quality dropped below acceptable levels and the volume of water measured. This produced a sample average of 575 gallons, and a sample standard deviation of 60 gallons. Construct a null and alternate hypothesis that Consumer Reports should use to confirm the manufacturer’s claim. Based on the sample data, what can they conclude? Use a 0.05 level of significance. Would your answer change if you used a 1% level of significance?

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