1. NBC TV news, in a segment on the price of gasoline, reported last evening that the mean price nationwide is $1.50 per gallon for self-serve regular unleaded. A random sample of 35 statiom in the Milwaukee, WI, area revealed that the mean price was $1.52 per gallon and that the standard deviation was $0.05 per gallon. At the 05 significance level, can we conclude that the price of gasoline is higher in the Milwaukee area? Calculate the ρ-value and interpret.
2. Suppose Babsie generated the following, probability distribution
a. Is this probability distribution discrete or continuous? Explain your reasoning
b. This is a discrete distribution because we are given a specific. X value for which there is a probability.
c. Calculate the expected value of X. Show your work.
d. Calculate the standard deviation
3. Babsie is a public affairs specialist at Park University. A press release issued by Babsie based on some research claims that Park University students study at least as much as the national average for students at four year universities. Across the nation., 73 percent of all students at four year universities study at least four hours per week. Severity percent of one hun.dred randomly selected Park University students surveyed claimed to study more than four hiaurs per week. Should the Universitli7 retract its previous statement? Explain why or why not. Answer using a 95 percent confidence interval.
4. The weights (in pounds) of a sample of five boxes being sent by UPS are: 12, 6 7. 3 and 10.
a. Compute the mean for this sample.
b. Compute the range for this sample.
c. Compute the variance for this sample.
d. Compute the standard deviation for this sample.
Short Answers
1. In hypothesis testing, what is a Type I error? Type II enor?
2. List the characteristics of a noimal distribution.
3. What is the difference between the Empirical Rule and Cheloyshev's rule.
4. In a standard normal distribution, what is the value of the mew and standard deviation?