Example: Home mortgage interest rates for 30-year fixed rate loans vary throughout thecountry. During the summer of 2000, data available from various parts of the countrysuggested that the standard deviation of the interest rates was .096. The correspondingvariance in interest rates would be (096) =.009216. Consider a follow up study in thesummer of 2005. The interest rates for 30 year fixed rate loans at a sample of20 lendinginstitutions had a sample standard deviation of .114. Conduct a hypothesis test usingH:o = .009216 to see whether the sample data indicate that the variability in interest rateschanged. Use a = .05. What is your conclusion?

Answered: Example: Home mortgage interest rates…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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4. Six balls are thrown in four distinct squares. Represent the fundamental set Ω in the following two cases. (a) The balls are numbered from 1 to 6. (b) The balls are identical.
Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 9 million dollars and a standard deviation of 1.4 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 10% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
The warranty on a car battery is 30 months. If the breakdown times of this battery are normally distributed with a mean of 40 months and a standard deviation of 8 months, determine the percent of batteries that can be expected to require repair or replacement under warranty. what % of batteries can be expected to require repair or replacement under warranty. (Round to two decimal places as needed.)
An analyst found that the average amount of money in bank accounts at his/her bank is $2,000 with a standard deviation of $150. What would be the variance?
In what percentile is an infant’s body weight of 7 pounds, if infant body weights at that age are normally distributed with mean 11 pounds, and standard deviation 2 pounds?
The National Football League franchise owners and the National Football League Player's Association (a union representing NFL players) are currently negotiating over terms.for the upcoming season. One of the proposals is to increase the number of regular season games per year from 16 to 17. Will the new balanced standard deviation of win percentage for à 17-game season be higher or lower than the previous balanced standard deviation in the 16-game season? Why?
Suppose there is a city where the mean cost per month of a one-bedroom apartment is $1,500, with a standard deviation of $250. Approximately what percentage of one-bedroom apartments in the city cost between $750 and $1,000?
Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 8 million dollars and a standard deviation of 1.3 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 10% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place. 00 0 million dollars X S ? Check acer Q tab esc ! 1 9. a @ 2 W →> S #m 3 X e C d $ LAS 4 C r % 5 f t > < 6 g y & JX b 7 h C n K1300
According to the Insurance Association in US, the average annual expenditure for automobile insurance is $605. Suppose that in a simple random sample of 80 residents of New York, for most recent year their average expenditure was $638.62 with the standard deviation of $106.05. Based on these data, examine whether the average annual insurance for motorists in New York might be different from that in national level. Using the 0.05 level of significance, what conclusion do you reach? Also, construct and interpret 95% confidence interval for the population mean. Is the hypothesized mean within the interval? Is this consistent with the findings of the hypothesis test conducted?
Thank you!
1) A half-century ago, the mean height of women in a particular country in their 20s was 63.7 inches. Assume that the heights of today's women in their 20s are approximately normally distributed with a standard deviation of 2.31 inches. If the mean height today is the same as that of a half-century ago, what percentage of all samples of 26 of today's women in their 20s have mean heights of at least 65.04 inches?
The average register transaction at a local coffee house is 6.17 with a standard deviation of 3.25. If transactions are normally distributed, what percentage are 10.00 or more?

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