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Hugger Polls contends that an agent conducts a mean of 53 in-depth home surveys every week. A streamlined survey form has been introduced, and Hugger wants to evaluate its effectiveness. The number of in-depth surveys conducted during a week by a random sample agent are:
53 57 50 55 58 54 60 52 59 62 60 60 51 59 56
At the .05 level of significance, can we conclude that the mean number of interviews conducted by the agents is more than 53 per week? Estimate the p-value.
A manufacturer of batteries is considering three new battery designs. An attempt was made to determine whether the mean lifetime in hours is the same for each of the three designs.
Given below is the rate of return for one year (reported in percent) for the sample of 12 mutual funds. Using .05 significance level is it sensible to conclude that mean rate of return is more than 4.50 percent?
We measure the self esteem scores of a sample of statistics students, reasoning that this course may lower their self esteem relative to that of the typical college student (µ=55 and σ x =11.35) We obtain these scores:
A Tamiami shearing machine produced 8 percent defective pieces. The quality control engineer has been checking the output by almost continuous sampling. What is the probability that in a sample of 9 pieces:
Develop a mathematical programming model and solve. Discuss your results [total profits, total costs, etc].
Random sample of 36 theaters resulted in mean of $7.80. Population standard deviation is $1.00. Determine conclusion can be made at 10% significance level? How about 5% significance level?
Construct a 95% confidence interval for the population mean service charge if a customer's account falls below the $1,500 minimum.
Find the Probability and prove that the given two events are mutually exclusive and independent or not.
Find a 95% confidence interval for the mean monthly rent for unfurnished one-bedroom apartments available for rent in this community.
A street performer approaches you to make a bet. He shows you three cards: one that is blue on both sides, one that is orange on both sides, and one that is blue on one side and orange on the other.
A bowl contains R red and W white chips. Suppose N chips are drawn without replacement from the bowl.
A sample of 84 golfers showed that their average score on a particular golf course was 89.05 with a standard deviation of 3.47.
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