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A survey was taken of students at a large university in the fall of 2003 who were enrolled in one of three introductory statistics courses: Stat 200, commonly taken by students in the social sciences; Stat 1000, taken by students in the natural sciences; and Stat 1100, taken by business majors. We would like to explore whether the courses differ in terms of the percentages of males and females enrolled, and so we will treat "Course" as the explanatory variable, and "Gender" as the response.
a. Explain why "Course" should be treated as a categorical variable, in spite of the fact that it takes number values.
b. Use software to access the student survey data. Report the percentage of females in Stat 200, Stat 1000, and Stat 1100.
c. Which course has the highest percentage of females and which has the lowest?
d. Should we assume that the difference in percentages is due to chance, or is there a good possibility that males and females would have a tendency to major in different subject areas?
The following data represents 15 quarters of manufacturing capacity utilization (in percentages) Evaluate three and four quarter moving average for this time series. Which moving average provides the better forecast for the fourth quarter of 2003?
Suppose that 25 people are called in for jury duty, two of whom are Native American. If 12 of the 25 people are randomly selected to the jury. What is the probability that no Native Americans are selected to the jury?
a regression of the amount of calories in a serving of breakfast cereal vs. the amount of fat in the cereal gave the
Compare the respective purposes of one-way, randomized block, and two-way analysis of variance. In general, under what circumstances would each method be used?
In each situation, explain whether it would be more appropriate to treat the observed data as a sample from a larger population or as data from the whole population.
the number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient
Assume the probability that a telephone in any given telephone booth is defective is 0.2. Determine the probability that if 8 phone booths are examined, the number of defective phones is exactly 3.
Assume you were in charge of advertising for an automotive dealership when the gas prices increased to $6 per gallon. Most of your cars are fuel-efficient, but you have two models that have extremely poor fuel economy
Use the histogram to determine how many points are out of control according to the upper control limit and lower control limit.
Construct a misleading graph that a college recruiter might create to convince high school students that they should attend college. Construct a graph that does not mislead.
What is the characteristic function of N? What is the mean and variance of N? What is the pmf of N? What is the probability that N is an even number?
a. What type of error would you make if the null hypothesis is actually false and you fail to reject it?
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