Questions: 1-13

Q1.

A professor at a local university conducted a survey of 135 businesses in a city to determine what motivates small businesses to export their products. The CEOs were asked to respond to the statement? "Management believes that the business can achieve economies of scale by? exporting" on a scale of 1? (strongly disagree) to 5? (strongly agree). Summary statistics for the n=135 scale scores were reported as x=3.83 and s=1.4 In his? study, the professor hypothesized that if the true mean scale score exceeds 3.5 then CEOs at all businesses in the city generally agree with the statement. Complete parts a through c below.

a.  Conduct the appropriate test using a=0.10. State your conclusion in the words of the problem. State the null and alternative hypotheses.

b.  Explain why the results of the? study, although? "statistically significant," may not be practically significant.

c.  The scale scores for the sample of 135 businesses are unlikely to be normally distributed. Does this invalidate the inference you made in part a?

Q2.

The final scores of games of a certain sport were compared against the final point spreads established by oddsmakers. The difference between the game outcome and point spread​ (called a​ point-spread error) was calculated for 235 games. The sample mean and sample standard deviation of the​ point-spread errors are x̄=1.5 and s=12.8. Use this information to test the hypothesis that the true mean​ point-spread error for all games is larger than 0. Conduct the test at α=0.10 and interpret the result.

a.  Find the rejection region

b.  Find the value of the test statistic

c.  Compare the rejection region result and the test statistic result

Q4.    Q5.     Q6.    Q7.   Q8.

Q9.    Q10.   Q11.  Q12.  Q13. included in the file.

# MATH 533 Week 5 | Quiz

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