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A manufacturer has designed a process to produce pipes that are 10 feet long. The distribution of the pipe length, however, is actually Uniform on the interval 10 feet to 10.77 feet. Assume that the lengths of individual pipes produced by the process are independent. Let X and Y represent the lengths of two different pipes produced by the process.
What is the probability that the second pipe (with length Y) is more than 0.15 feet longer than the first pipe (with length X)? Give your answer to four decimal places. Hint: Do not use calculus to get your answer.
For a group of 10 men subjected to a stress situation, the mean number of heartbeats per minute was 126, and the standard deviation was 4. Find the 95% confidence interval of the true mean.
Does the confidence interval contain the value of 35 mm, which is believed to be the standard deviation of sitting heights of women?
Before 1918, in a random sample of 11 wolves spotted in the region, what is the probability that 8 or more were male?
We want to know if his support has decreased. In computing a test of hypothesis with , what is the estimate of the overall proportion?
Test whether there is difference in the two population mean. Use p-value approach
Thirty-six percent of women consider themselves basketball fans. You randomly select six women and ask each if she considers herself a basketball fan. a) construct a binomial distribution.
In 2001, the US Department of Labor reported the average hourly earnings for US production workers to be $14.32 per hour. A sample of 75 production workers during 2003 showed a sample mean of $14.68 per hour.
One of 4 bus drivers is also arbitarily chosen. Let Y denote number of students on his bus. Calculate expectations and variances of X and Y.
A random sample of 15 Golden Retrievers has an average weight of 66 lb. The percentile rank of this sample is: A.85. B.10. C.90. D.80. E.93.
A wildlife biologist wants to do a test to see if there is a genetic trait linked to industrial toxins. Previous research says the trait is usually found in one out of every thirty frogs.
What critical value should the company officials use to determine the rejection region?
A U.S. Travel Data Center survey of 1500 adults found that 42% of respondents stated that they favor historical sites as vacations. Find the 99% confidence interval of the true proportion of adults who favor visiting historical sites as vacations.
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