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Typology: Essays (university)
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Q1. A public opinion poll surveyed a simple random sample of 1000 voters. Respondents were classified by gender (male or female) and by voting preference (Republican, Democrat, or Independent). Results are shown in the contingency table below. Voting Preferences Rep. Dem. Ind. Male 200 150 50 Female 250 300 50 Do the men's voting preferences differ significantly from the women's preferences? (Apply Chi Square) Q2. A Cruise Line wants to find out if people are happier taking cruise with city or beach destinations. They ask 6 people on a beach cruise and 6 people on a city cruise to rate how happy they are on a scale of 1-10, with 10 being highest rating possible. If there a difference in how happy the beach and city people were? Check whether test is statistically significant or not. (Apply Independent Sample T-Test) Beach (^) 5 6 7 4 6 8 City (^) 4 3 3 2 5 2
2 | P a g e Q3. The scores for nine students in Statistics and Mathematics are as follows: Statistics 35 23 47 17 10 43 9 6 28 Mathematics 30 33 45 23 8 49 12 4 31 Compute Pearson’s Correlation Coefficient to find the strength of relationship between the given variables. Q4. A college bookstore must order books two months before each semester starts. They believe that the number of books that will ultimately be sold for any particular course is related to the number of students registered for the course when the books are ordered. They would like to develop a Linear Regression model to help plan how many books to order. From past records, the bookstore obtains the number of students registered, X, and the number of books actually sold for a course, Y, for 12 different semesters. These data are below. Students 36 28 35 39 30 30 31 38 36 38 29 26 Books 31 29 34 35 29 30 30 38 34 33 29 26 Q 5. Set up Analysis of Variance (ANOVA) table for the following per acre production data for three variety of wheat (A, B, C) and state if the variety differences are significant. A B C 6 5 5 7 5 4 3 3 3 8 7 4