4. Facebook wants to maximize the visibility of businesses on who advertise on their platform. This visibility is measured by the number of clicks an advertisement gets. Facebook has come up with a new home page design that puts the advertisements halfway through the page. However, they do not know how this will effect advertisement visibility. They test what the change in the average number of clicks per user is by assigning 35 people to the new design and 30 people to the old design and measuring the results across multiple days (this is called an A/B test). The new design had an average of 15 clicks per user with standard deviation 7 and the old design had an average of 6 clicks per user with standard deviation of 2. Does the mean clicks per user differ between the new homepage and the old homepage? Test this hypothesis at the a = 0.05 level.

4. Facebook wants to maximize the visibility of businesses on who advertise on their platform. This visibility is measured by the number of clicks an advertisement gets. Facebook has come up with a new home page design that puts the advertisements halfway through the page. However, they do not know how this will effect advertisement visibility. They test what the change in the average number of clicks per user is by assigning 35 people to the new design and 30 people to the old design and measuring the results across multiple days (this is called an A/B test). The new design had an average of 15 clicks per user with standard deviation 7 and the old design had an average of 6 clicks per user with standard deviation of 2. Does the mean clicks per user differ between the new homepage and the old homepage? Test this hypothesis at the a = 0.05 level.

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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Please answer parts A,B and C. Thank you.
In a test of Ho:= 90 against Ha: µ> 90, the sample data yielded the test statistic z = 2.17. Find and interpret the p-valte for the test. E Click the icon to view a table of standard normal values The p-value isp= (Round to three decimal places as needed.)
Only about 13% of all people can wiggle their ears. Is this percent higher for millionaires? Of the 317 millionaires surveyed, 44 could wiggle their ears. What can be concluded at the αα = 0.05 level of significance? The test statistic ? z t Correct = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 3 decimal places.)
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2. Suppose that we are testing Ho following observed values of the test (a) Zo= 2.45 (b) Zo= -1.53 = po versus H₁>po. Calculate the p-value for the statistic: (c) Zo= 2.15 (e) Zo= -0.35 (d) Zo = 1.95
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The null and alternate hypotheses are: Ho Hy H2 H₁ H₁ H₂ A random sample of 11 observations from one population revealed a sample mean of 23 and a sample standard deviation of 1.1. A random sample of 4 observations from another population revealed a sample mean of 24 and a sample standard deviation of 1.3. The population standard deviations are unknown but assumed to be equal. At the 0.05 significance level, is there a difference between the population means? Required: a. State the decision rule. (Negative amounts should be indicated by a minus sign. Round your answer to 3 decimal places.) Answer is complete but not entirely correct. -1.761 or 1.761 The decision rule is to reject Ho b. Compute the pooled estimate of the population variance. (Round your answer to 3 decimal places.) Pooled estimate of the population variance
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