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A marketing analyst was studying the readability of two advertisements, each produced by a major company, and printed in the newspaper. A random sample of 100 marketing professors was selected. Fifty were randomly assigned to read the advertisement produced by Company A, and the other fifty were to read the advertisement produced by Company B. The results are summarized in the contingency table below. Is there evidence of a significant difference in the proportion of the marketing professors who reviewed the advertisements produced by A and B and concluded the advertisements were readable? Test at the .10 level of significance.
......................COMPANY A......................COMPANY B......................TOTAL
...........................Oi......EI..............................Oi.......EI........................Oi.....EI
Yes.....................19.....20..............................21.......20.......................40....40
No.......................31.....30..............................29.......30.......................60....60
Total....................50.....50..............................50......50.......................100...100
The F-test cannot be used to answer whether or not there is a significant difference between the means.
A college believes that 28% of applicants to that school have parents who have remarried. How large a sample is needed to estimate the true proportion of students who have parents who have remarried to within 5 percentage points with 95% confidenc..
Calculate the suitable mean response time from both proposed locations and find out which proposed site must be selected for the new emergency facility.
What is an independent sample and what is a related sample? When should researchers use varying hypothesis tests for the different types of samples?
Seventy-five percent of households say they woud feel secure if they had $50,000 in savings. You randomly select 8 households and ask them if they would feel secure if they had $50,000 in savings.
The sample mean of the number of spots on the 6000 rolls, should be about If this die is rolled 6000 times, the number of times we get a 2 or a 3 should be about
A researcher used stepwise regression to create regression models to predict Birthrate (births per 1000) using five predictors:
If X=85 (sample mean), 8 is population standard deviation, and n=64 is sample size, construct a confidence interval estimate for the population mean.
Construct a 95 percent confidence interval for the mean number of misspelled words in the population of student essays.
An engine system consists of three main components in a series, all having the same reliability.
Under new grading scale, how many students will have A's, B's, C's, D's and F's? Do you beleive the instructor must grade on a curve? Explain why or why not?
Given what you've learned in this module about the meaning of "statistics", choose one of the examples from Part I (A-F), and raise a relevant question of your own that could be answered by a statistician.
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