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A professor is interested in comparing the average amount spent on textbooks for freshmen and sophomores. A random sample of 8 freshmen yielded a sample mean amount of $1013 and a sample standard deviation of $75. A random sample of 8 sophomores yielded a sample mean amount of $1234 and a sample standard deviation of $340. Construct a 99% confidence interval for the difference between the mean amount spent on textbooks by freshmen and the mean amount spent by sophomores (ie. do freshmen minus sophomores). Since the sample standard deviations are wildly different, use a method which does not assume the populations have the same variance.
What is the appropriate degrees of freedom in this case? Give your answer to four decimal places.
What is the lower confidence limit on the interval? Give your answer to two decimal places.
What is the upper confidence limit on the interval? Give your answer to two decimal places.
Using this interval, is it reasonable to conclude that the average sophomore spends more than the average freshman?
Yes because the upper endpoint on the interval is below 0.Yes because the upper endpoint on the interval is above 0.No because the interval contains 0.Yes because the interval contains 0.
The mean interview time for a standard questionnaire of 31.3 minutes was considered to be excessive so the schedule was revised, yielding a mean interview time for a sample of 40 subjects of 21.3 minutes
Develop a model that determines your round-trip gasoline cost. What assumption or approximations are necessary to treat this model as deterministic model?
Perform a significant test to assess whether there is an association between mortality from cirrhosis of the liver and duration of employment in the group hired after 1945. Report a p-value.
Collapse the response categories in the following tables so that it meets the assumptions of the chi-square test; than perform the test.
What will be critical value of chi-square if test is to be performed at 0.025 level? At the 0.05 level?
A consumer survey indicates that the average household spends m=$155 on groceries each week. The distribution of spending amounts is normal with a standard deviation of o=$25. Based on this distribution
The buyer-believes that the differences are normally distributed and will use this sample to perform an appropriate test at a level of significance of 0.01.
Conduct a mini-meta-analysis. There is really no such thing as a mini-meta-analysis, but you don't have time to conduct a full meta-analysis.
They have collected data on gender, shoe size, and height to see if they can change their business model to include only one size of shoes regardless height or gender of the wearer.
Find the z-score for each score in the population. Transfer the original population into a new population of N=5 scores with a mean of μ=60 and a standard deviation of σ=8
Determine the percentage increase in his real (inflation-adjusted) salary over the last three years. Which of the 4 methods of data collection was involved when he used the Consumer Price Index?
26% of college students say they use credit card because of the rewards program . You randomly select 10 college students and ask each to name the reason he or she uses credit cards.
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