1. In order to estimate the average SAT Math score $ \mu $ in a certain state, a simple random sample of 100 students yields an average of 527 points. Assume that the s.d. of all SAT Math scores in that state is 90 points. (a) Construct a 95% confidence interval for $ \mu $. (b) Find the margin of error associated with this confidence interval and interpret the answer in plain language. (c) In order for the margin of error to be no greater than 15, how large a sample should be drawn instead? (d) If 2000 such confidence intervals are constructed, how many of them will contain the value of $ \mu $? Why? (e) If 2000 such confidence intervals are constructed, how many of them are expected to contain the value of $ \mu $? Why?

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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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You may need to use the appropriate appendix table to answer this question. Suppose that the average price for a gallon of gasoline in the Country A is $3.74 and in Country B it is $3.40. Assume these averages are the population means in the two countries and that the probability distributions are normally distributed with a standard deviation of $0.25 in the Country A and a standard deviation of $0.20 in Country B. (a) What is the probability that a randomly selected gas station in Country A charges less than $3.50 per gallon? (Round your answer to four decimal places.) (b) What percentage of the gas stations in Country B charge less than $3.50 per gallon? (Round your answer to two decimal places.) (c) What is the probability that a randomly selected gas station in Country B charged more than the mean price in the Country A? (Round your answer to four decimal places.)
A researcher found that the two groups (n=25 in each group) they tested were significantly different from each other with a t-value of 2.91, which has a corresponding p-value of p=.06. Report the findings in APA number format.
Given P(E or F) = 0.85, P(E) = 0.40, and P(E and F) = 0.09, what is P(F)?
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For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. Santa Fe black-on-white is a type of pottery commonly found at archaeological excavations at a certain monument. At one excavation site a sample of 602 potsherds was found, of which 370 were identified as Santa Fe black-on-white. (a) Let p represent the proportion of Santa Fe black-on-white potsherds at the excavation site. Find a point estimate for p. (Round your answer to four decimal places.) (b) Find a 95% confidence interval for p. (Round your answers to three decimal places.) lower limit upper limit Give a brief statement of the meaning of the confidence interval. 95% of all confidence intervals would include the true proportion of potsherds. 5% of all confidence intervals would include the true proportion of potsherds. 95% of the confidence intervals created using this method would include the true proportion of potsherds. 5% of the confidence intervals…
Given P(E or F) = 0.52, P(F) = 0.49, and P(E and F) = 0.02, what is P(E)?
For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.Santa Fe black-on-white is a type of pottery commonly found at archaeological excavations at a certain monument. At one excavation site a sample of 580 potsherds was found, of which 370 were identified as Santa Fe black-on-white. (a) Let p represent the proportion of Santa Fe black-on-white potsherds at the excavation site. Find a point estimate for p. (Round your answer to four decimal places.)(b) Find a 95% confidence interval for p. (Round your answers to three decimal places.) lower limit upper limit
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Randomly selected students were given five seconds to estimate the value of a product of numbers with the results shown below. Estimates from students given 1 x 2 × 3 x 4 x 5 x 6 x 7 x 8: 500, 150, 500, 42200, 560, 25, 5000, 842, 2000, 600 Estimates from students given 8 x 7 x 6 x 5 x 4 × 3 × 2 × 1: 450, 3600, 42000, 52836, 400, 40000, 2000, 5000, 428, 25000 Use a 0.05 significance level to test the claim that the two populations have the same mean. (a) The standardized test statistic is (b) The conclusion is O A. There is sufficient evidence to warrant the rejection of the claim that the two populations have the same mean O B. There is not sufficient evidence to warrant the rejection of the claim that the two populations have the same mean
Given P(E) = 0.22 , P(F) = 0.28 , and P(E and F) =0.10. what is P(E or F)?

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In order to estimate the av sample of 100 students yie Math scores in that state is Construct a 95% c (a) (b) Find the margin o answer in plain la In order for the m