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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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A personality test has a subsection designed to assess the "honesty" of the test-taker. Suppose that you're interested in the mean score, 4, on this subsection among the general population. You decide that you'll use the mean of a random sample of scores on this subsection to estimate u. What is the minimum sample size needed in order for you to be 95% confident that your estimate is within 2 of µ? Use the value 22 for the population standard deviation of scores on this subsection. Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.)
Please don't use Excel formulas
← F2 Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. S a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. What are the null and alternative hypotheses? w an example OC. Ho: H₁ H₂ H₁: Hy H₂ The test statistic, t, is 0.15. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) 7 W X H 3 Get more help. 80 F3 E D C $ 4 Q F4 R F % 5 V F5 T G 6 B MacBook Air F6 Y H & 7 N F7 U J OB. Ho:
A random sample of n = 100 observations is selected from a population with u = 31 and o = 21. Approximate the probabilities shown below. a. P(x2 28) c. P(xs 28.2) b. P(22.1sxs26.8) d. P(x2 27.0) Click the icon to view the table of normal curve areas.
The percent of fat calories that a person consumes each day is normally distributed with a mean of about 35 and a standard deviation of about ten. Suppose that 9 individuals are randomly chosen. Let X = average percent of fat calories. For the group of 9, find the probability that the average percent of fat calories consumed is more than six. (Round your answer to four decimal places.)
The temperature in degrees Celsius at a certain location is normally distributed with a mean of 68 degrees and a standard deviation of 4 degrees. The probability that the temperature in degrees Celsius at the same location is greater than 76 degrees is 0.0228 0.1587 None of the other options 0.0062
Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with ? = 2.5%. A random sample of 10 bank stocks gave the following yields (in percents). 5.7 4.8 6.0 4.9 4.0 3.4 6.5 7.1 5.3 6.1 The sample mean is = 5.38%. Suppose that for the entire stock market, the mean dividend yield is ? = 4.9%. Do these data indicate that the dividend yield of all bank stocks is higher than 4.9%? Use ? = 0.01. (c) Find (or estimate) the P-value. (Enter a number. Round your answer to four decimal places.) ?Sketch the sampling distribution and show the area corresponding to the P-value. (Select the correct graph.)
In a certain normal distribution, the mean is 50. If an observation of 30 is randomly selected, the z-score for this observation will be O Positive O Not enough information to tell O 50 O Negative
The mean height of women in a country (ages 20−29) is 64.1 inches. A random sample of 75 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65 inches? Assume σ=2.58. The probability that the mean height for the sample is greater than 65 inches is

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