
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Suppose the heights of the population of basketball players at a certain college are
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- Suppose that the height of Asian males aged 35-44 in the United States is normally distributed with a standard deviation of 3 in. Jeremy takes a simple random sample of 16 such men and notices that none of them are unusually tall or unusually short. He then calculates the average of the sample to be 67 in. and is planning on using this to find a 90% z-confidence interval for the true mean height. Can Jeremy use this information to find the z-confidence interval? Complete the following sentences. The population distribution is and the population standard deviation is Therefore, the sample to find a 90% z-confidence interval.arrow_forwardA researcher is interested in studying the use of hypnosis to relieve pain. She took a random sample of 16 subjects and measured their sensory ratings. The mean of the sensory ratings was found to be 7.5 and standard deviation to be 2.3. It is known that the sensory ratings are normally distributed. Construct a 99% confidence interval for the mean sensory ratings of the population. a) (5.81, 9.19) b) (6.27, 8.73) c) (6.36, 8.64) d) (6.02, 8.98)arrow_forwardA simple random sample of size n=40 is drawn from a population. The sample mean is found to be x=121.3 and the sample standard deviation is found to be x=12.3. Construct a 99% confidence interval for the population mean.arrow_forward
- Suppose a randomly selected sample of n = 62 men has a mean foot length of x = 28 cm, and the standard deviation of the sample is 2 cm. Calculate an approximate 95% confidence interval for the mean foot length of men. (Round the answers to one decimal place.) In the study, n = 45 men were put on a diet. The men who dieted lost an average of 5.6 kg, with a standard deviation of 3.6 kg. (a) Compute the standard error of the mean for the men who dieted. (Round the answer to two decimal places.)kg(b) Compute an approximate 95% confidence interval for the mean weight loss for the men who dieted. (Round your answer to the nearest hundredth.)An approximate 95% confidence interval is to kgarrow_forwardSuppose the prices for the iphone 12 are normally distributed with an unknown population mean and a population standard deviation of 75$. A random sample of 50 stores is taken and gives a sample mean price of $850. What are the lower and upper bounds for a 83% confidence interval of the population mean price?arrow_forwardThe manager at a large fitness center keeps track of the amount of time it takes a sample of 65 clients to run a mile. She finds that the mean time to run a mile in this sample is x = 10.4 minutes and the standard deviation is s = 2.1 minutes. Assuming the sample is a simple random sample of all clients at this particular fitness center, find a 95% confidence interval H, the unknown mean running time of all clients from the fitness center. for (Give your answer as an interval in the form (lower limit, upper limit). Use decimal notation. Give the limits to two decimal places.) 95% confidence interval:arrow_forward
- A company manufactures tennis balls. When its tennis balls are dropped onto a concrete surface from a height of 100 inches, the company wants the mean height the balls bounce upward to be 54.7 inches. This average is maintained by periodically testing random samples of 25 tennis balls. If the t-value falls between - to 99 and to 99, then the company will be satisfied that it is manufacturing acceptable tennis balls. A sample of 25 balls is randomly selected and tested. The mean bounce height of the sample is 56.7 inches and the standard deviation is 0.25 inch. Assume the bounce heights are approximately normally distributed. Is the company making acceptable tennis balls? Find -to 99 and to.99- - to.99 = to.99 = (Round to three decimal places as needed.) Find the t-value. t-value = Is the company making acceptable tennis balls? Choose the correct answer below. O A. The tennis balls are not acceptable because the t-value falls outside -tn og and to oa.arrow_forwardSuppose a randomly selected sample of n = 69 men has a mean foot length of x = 27.9 cm, and the standard deviation of the sample is 3 cm. Calculate an approximate 95% confidence interval for the mean foot length of men. (Round the answers to one decimal place.)arrow_forward
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