### Estimating the Mean Circumference of Mini-Soccer BallsA soccer ball manufacturer wants to estimate the mean circumference of mini-soccer balls within 0.10 inch. Assume the population of circumferences is normally distributed.#### Tasks:(a) Determine the minimum sample size required to construct a 99% confidence interval for the population mean. Assume the population standard deviation is 0.20 inch.(b) Repeat part (a) using a population standard deviation of 0.10 inch.(c) Which standard deviation requires a larger sample size? Explain.---**(a)** The minimum sample size with a population standard deviation of 0.20 inch is \(\_\_\_\_\) balls. (Round up to the nearest integer.)

Answered: (a) Determine the minimum sample size…

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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(d) Why is the margin of error for this confidence interval so small? O A. The standard deviation is very small. OB. The sample size used is very large. OC. The mean is very small. O D. The standard deviation is very large. ہے
The weight of an organ in adult males has a bell-shaped distribution with a mean of 350 grams and a standard deviation of 15 grams. Use the empirical rule to determine the following. (a) About 95% of organs will be between what weights?(b) What percentage of organs weighs between 335 grams and 365 grams?(c) What percentage of organs weighs less than 335 grams or more than 365 grams?(d) What percentage of organs weighs between 335 grams and 395 grams?
The weight of an organ in adult males has a bell-shaped distribution with a mean of 325 grams and a standard deviation of 35 grams. Use the empirical rule to determine the following. (a) About 95% of organs will be between what weights? (b) What percentage of organs weighs between 220 grams and 430 grams? (c) What percentage of organs weighs less than 220 grams or more than 430 grams? (d) What percentage of organs weighs between 290 grams and 395 grams? (a) and O grams (Use ascending order.) (b)% (Type an integer or a decimal.) (c) % (Type an integer or a decimal.) (d) % (Type an integer or decimal rounded to two decimal places as needed.)
(Q5). The data on monthly rents, in dollars, for independent random samples of newly completed apartments in three U.S. regions are presented in the table below. Assume that the population standard deviation of the monthly rents in the three regions are equal and the populations are normally distributed. Northeast South _____West 1005 891 1025 898 630 1012 948 861 1090 1181 926 _______________________________ (a). Do the data indicate that there is a difference in the monthly rent for the three regions? Discuss the assumptions you have made to carry out your analysis. Use a significance level of 10%. (b). Interpret your conclusion in…
The monthly incomes for 12 randomly selected people, each with a bachelor's degree in economics, are shown on the right. Complete parts (a) through (c) below. Assume the population is normally distributed. (a) Find the sample mean. X = (Round to one decimal place as needed.) (b) Find the sample standard deviation. SE (Round to one decimal place as needed.) (c) Construct a 99% confidence interval for the population mean u. C F5 % 5 E B F6 6 & H F7 of n N U F8 L *00 D 8 *** F9 M 09 ( 9 K F10 4450.86 4455.22 4283.26 3946.87 O CO 4596.99 4151.53 4527.11 4023.25 70°F Sunny E F11 *+ P F12 V 4366.62 3727.83 4407.07 4221.28 Submit test 40) 1:25 PM 11/28/2022 PrtSc + 11 Insert
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Statistics Question
In a certain country the heights of adult men are normally distributed with a mean of 70.2 inches and a standard deviation of 2.7 inches. The country's military requires that men have heights between 66 inches and 79 inches. Determine what percentage of this country's men are eligible for the military based on height. The percentage of men that are eligible for the military based on height is nothing%. (Round to two decimal places as needed.)
A researcher is interested in estimating the mean weight of a semi trailer truck to determine the potential load capacity. She takes a random sample of 17 trucks and computes a sample mean of 20,000 pounds with sample standard deviation of 1,500. The 95% confidence interval for the population mean weight of a semi trailer truck is ______________. 19,232 to 20,768 19,367 to 20,633 19,229 to 20,771 18,500 to 21,500 19,365 to 20,635
A newspaper article reported that 320 people in one state were surveyed and 80% were opposed to a recent court decision. The same article reported that a similar survey of 510 people in another state indicated opposition by only 30%. Construct a 99% confidence interval of the difference in population proportions based on the data. The 99% confidence interval of the difference in population proportions is ( (Round to four decimal places as needed.)
Assume that adults have IQ scores that are normally distributed with a mean of 100.9 and a standard deviation 19.5. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. (Hint Draw a graph.) The first quartile is (Type an integer or decimal rounded to one decimal place as needed.)
The weight of an organ in adult males has a bell-shaped distribution with a mean of 330 grams and a standard deviation of 45 grams. Use the empirical rule to determine the following. (a) About 99.7% of organs will be between what weights? (b) What percentage of organs weighs between 285 grams and 375 grams? (c) What percentage of organs weighs less than 285 grams or more than 375 grams? (d) What percentage of organs weighs between 195 grams and 420 grams?

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