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Question: Suppose the monthly percentage changes in the TSE 300 index from 1980 to 2000 are normally distributed with a standard deviation of 2.05 percentage points. We wish to estimate the mean value of monthly percentage changes during this period. To do so, we randomly selected a sample of 20 such changes, the values of which are as follows:
3.92 1.69 1.79 -1.00 -2.05 1.41 2.65 -1.09 3.92 1.482.00 0.85 0.31 1.46 3.92 .094 0.46 2.91 0.23 0.71
Find a 90 percent confidence interval estimate of the population mean.Find a 95 percent confidence interval estimate of the population mean.
The management of a department store is interested in estimating the difference between the mean credit purchases of customers using the store's credit card versus those customers using a national major credit card.
A group of investors wants to develop a chain of fast food cafés. In determining potential costs for each facility, they must consider, among other costs, the average monthly cost of electricity.
A biologist estimates that 40% of deer in the region carry a certain type of tick. For a sample of 300 deer selectetd at random, what is the chance that 124 or fewer deer have this tick?
Mean operating cost for the fleet of delivery trucks because the sample mean is contained in the interval. Do you agree? How would you interpret this confidence interval?
How could your answer in question (a) change if you knew returns followed a skewed distribution instead of a normal distribution? Explain briefly.
One item on a questionnaire asks, "How many siblings (brothers and sisters) did you have when you were a child?" A researcher computes the mean, the median, and the mode for a set.
What is the role of the F test in multiple regression? (b) How is the F statistic calculated from the ANOVA table? (c) Why are tables rarely needed for the F test?
1. The counselor calculates the unbiased estimate of the population's variance to be 15. What is the variance of the distribution of means?
Based on testing, company makes following statement: "Our batteries last the average of 430 to 470 minutes, and our confidence in that interval is 95%" Find out standard deviation and show work.
Find the probability that in a given year a) exactly one major hurricane will strike the U.S. mainland, b) at most one major hurricane will strike the U.S. mainland.
Jared bets on the number 7 for each of 100 spins of a roulette wheel. Because P(7) = 1/38 he expects to win two or three times. What is the probability that Jared will actually win two or more times?
We want to estimate the population mean within 5, with a 99% confidence level. The population std dev is estimated to be 15. How large is the required sample size?
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