A soccer ball manufacturer wants to estimate the mean circumference of mini-soccer balls within 0.15 inch. Assume the population of circumferences is normally distributed.(a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 0.25 inch.(b) Repeat part (a) using a population standard deviation of 0.15 inch.(c) Which standard deviation requires a larger sample size? Explain.---(a) The minimum sample size with a population standard deviation of 0.25 inch is ___ balls. (Round up to the nearest integer.)(b) The minimum sample size with a population standard deviation of 0.15 inch is ___ balls. (Round up to the nearest integer.)(c) A population standard deviation of ___ inch requires a larger sample size because greater variability in the population requires a ___ sample size to ensure the desired accuracy.

Answered: A soccer ball manufacturer wants to…

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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To assess the accuracy of a laboratory scale, a standard weight known to weigh 10 grams is weighed repeatedly. The scale readings are normally distributed with an unknown mean (this mean is 10 grams if the scale has no bias). The standard deviation of the scale readings is known to be 0.0006 gram. (a) The weight is measured five times. The mean result is 10.0023 grams. Give a 98% confidence interval for the mean of repeated measurements of the weight. (Round your answers to four decimal places.) (______,_____)
The quality control manager at a light bulb factory needs to estimate the mean life of a large shipment of light bulbs. The standard deviation is 69 hours. A random sample of 36 light bulbs indicated a sample mean life of 260 hours. Complete parts (a) through (d) below. Construct a 99% confidence interval estimate for the population mean life of light bulbs in this shipment. The 99% confidence interval estimate is from a lower limit of enter your response here hours to an upper limit of enter your response here hours. (Round to one decimal place as needed.)
In a random sample of 19 people, the mean commute time to work was 33.6 minutes and the standard deviation was 703 minutes. Assume the population is normally distributed and use a t- distribution construct a 80% confidence interval for the population mean u. What is the margin error of u? Interpret the results.
If the standard deviation of hole diameter significantly exceeds 0.011 mm, there is an unacceptably high probability that a rivet designed to be placed in the hole will not fit. After drilling 30 of these holes, a sample standard deviation in hole diameter was calculated as 0.012 mm. Construct a 95% interval estimate for the true deviation of the hole diameters and discuss the likelihood of the standard deviation exceeding our target.
You want to estimate the mean weight of quarters in circulation. A sample of 40 quarters has a mean weight of 5.629 grams and a standard deviation of 0.063 gram. Use a single value to estimate the mean weight of all quarters. Also, find the95% confidence interval for the average weight of all quarters. The estimate for the mean weight of all quarters is 5.6295.629 grams. (Round to three decimal places as needed.) Find the 95% confidence interval for the mean weight of all quarters. nothing grams<μ<nothing grams
A paint manufacturer uses a machine to fill gallon cans with paint (1 gal = 128 ounces). The manufacturer wants to estimate the mean volume of paint the machine is putting in the cans within 0.5 ounce. Assume the population of volumes is normally distributed. (a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 0.71 ounce. (b) The sample mean is 127.5 ounces. With a sample size of 7, a 90% level of confidence, and a population standard deviation of 0.71 ounce, does it seem possible that the population mean could be exactly 128 ounces? Explain. (a) The minimum sample size required to construct a 90% confidence interval is cans. (Round up to the nearest whole number.)
A machine is supposed to cut plastic into sheets that are 600 inches long. The company wants to estimate the mean length the machine is cutting the plastic, accurate to within 0.04 inch. Determine the sample size required to construct a 92% confidence interval. Assume that the population is normal with a standard deviation of 0.25 inch. (a) 120 (b). 32 (c). 100 (d). 945 (e). 115
A paint manufacturer uses a machine to fill gallon cans with paint (1 gal = 128 ounces). The manufacturer wants to estimate the mean volume of paint the machine is putting in the cans within 0.6 ounce. Assume the population of volumes is normally distributed. (a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 0.70 ounce. (b) The sample mean is 126.25 ounces. With a sample size of 6, a 90% level of confidence, and a population standard deviation of 0.70 ounce, does it seem possible that the population mean could be exactly 128 ounces? Explain. Click here to view page 1 of the Standard Normal Table, Click here to view page 2 of the Standard Normal Table. (a) The minimum sample size required to construct a 90% confidence interval is cans. (Round up to the nearest whole number.) (b) The 90% confidence interval for a sample size of 6 is ( I ). It does seem possible that the population…
100 sheets are selected and the mean is 10.998 inches. Set up a 95% confidence interval for the population mean paper length. (a) Assuming computer paper is expected to have a standard devia- tion of 0.02 inch. (b) For a sampled data, the sample standard deviation is 0.12 inch.
A city planner wants to estimate the average monthly residential water usage in the city. He selected a random sample of 42 households from the city, which gave the mean water usage to be 3409.30 gallons over a one-month period. Based on earlier data, the population standard deviation of the monthly residential water usage in this city is 387.90 gallons. Make a 97% confidence interval for the average monthly residential water usage for all households in this city.
A sample of 20 automobiles has a pollution by-product release standard deviation of 2.5 ounces when one gallon of gasoline is used. Find the 95% confidence interval of the population variance. using chi table determine the confidence interval of the true population variance
A protein powder manufacturer randomly selected 35 samples of their top selling product. The sample's standard deviation is 4.2 grams. Assuming the weights of the protein powder product is normally distributed, construct a (a) 88%; (b) 98% confidence interval for the population variance and standard deviation.

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