3. A producer of various kinds of batteries has been producing "D" size batteries with a lifeexpectancy of 87 hours. Due to an improved production process, management believes that therehas been an increase in the life expectancy of their "D" size batteries. A sample of 36 batteriesshowed an average life of 88.5 hours. Assume from past information that it is known that thestandard deviation of the population is 9 hours.a. Give the null and the alternative hypotheses.b. Compute the test statistic.c. At 90% confidence using the critical value approach, test management's belief.d. At 99% confidence using the p-value approach, test management's belief.

Answered: Image /qna-images/answer/68ed1832-65ac-4b1d-87b6-fb218e030206.jpg

Answered: 3. A producer of various kinds of…

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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Suppose that the average number of miles that a car is driven in the first three years is 41,500. To determine whether leased cars are driven more than “average”, 25 leased cars were sampled and the average Number of miles on the leased cars was 43,780 with a standard deviation of 10,520. To determine whether the average number of miles on leased cars is statistically significantly greater than the number of miles on other cars, what is the null and alternative hypothesis?
3. Netflix: A study conducted in 2015 by the technology company Rovi (now TiVo) showed that the mean time spent per day browsing the video streaming service Netflix for something to watch was 19.3 minutes. Assume the standard deviation is o = 8. Suppose a simple random sample of 100 visits taken this year has a sample mean of 21.5 minutes. A social scientist is interested to know whether the mean time browsing Netflix has increased. Test the scientist's claim using a 0.05 significance level. 1. List the null and alternate hypothesis. 2. List the distribution (z or t) and all given variables used. 3. Find the critical value(s) using your calculator and label the picture. Draw a picture!!
Before changes to its management staff, an automobile assembly line operation had a scheduled mean completion time of 14.2 minutes. The standard deviation of completion times was 1.5 minutes. An analyst at the company suspects that, under new management, the mean completion time, μ, is now less than 14.2 minutes. To test this claim, a random sample of 50 completion times under new management was taken by the analyst. The sample had a mean of 14.1 minutes. Can we support, at the 0.10 level of significance, the claim that the population mean completion time under new management is less than 14.2 minutes? Assume that the population standard deviation of completion times has not changed under new management. Perform a one-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.)
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Before changes to its management staff, an automobile assembly line operation had a scheduled mean completion time of 13.3 minutes. The standard deviation of completion times was 1.8 minutes. An analyst at the company suspects that, under new management, the mean completion time, μ, is now less than 13.3 minutes. To test this claim, a random sample of 80 completion times under new management was taken by the analyst. The sample had a mean of 12.8 minutes. Can we support, at the 0.01 level of significance, the claim that the population mean completion time under new management is less than 13.3 minutes? Assume that the population standard deviation of completion times has not changed under new management. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. A. Find the value of the test statistic and round to 3 or more decimal places. (I have posted a picture of an…
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Before changes to its management staff, an automobile assembly line operation had a scheduled mean completion time of 12.7 minutes. The standard deviation of completion times was 1.4 minutes. An analyst at the company suspects that, under new management, the mean completion time, μ , is now less than 12.7 minutes. To test this claim, a random sample of 80 completion times under new management was taken by the analyst. The sample had a mean of 12.6 minutes. Can we support, at the 0.05 level of significance, the claim that the population mean completion time under new management is less than 12.7 minutes? Assume that the population standard deviation of completion times has not changed under new management. Perform a one-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 H0…

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