Two hundred simulation runs were completed using the probability of a machine breakdown from the tablebelow. The average number of breakdowns from the simulation trials was 1.76 with a standard deviation of1.01.No. of breakdowns per week1.685 to 1.8351.702 to 1.758Construct a 95% confidence interval for the average number of machine breakdowns.1.617 to 1.8031.607 10 1.753121.620 to 1.90034Probability0.150.250.360.170.07

Given that Sample size n =200 Sample mean =1.76 Standard deviation =1.01

Answered: Two hundred simulation runs were…

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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In an experimental study of the longevity of Drosophila melanogaster (fruit fly) 70 male adults and 75 female adults were observed until the death of the last member in each group. The mean lifetime for the males was found to be 43.2 days with a standard deviation of 9.1 days. The corresponding figures for the females were 37.5 days and 8.8 days. Would you conclude that the male Drosophila has a greater longevity than the female? Alpha = 0.01
Students in a gym class are timed running/walking a mile. The gym teacher randomly selects a sample of 42 students and finds that their mean time is 15.4 minutes with a standard deviation of 1.7 minutes. Find the 80% confidence interval for the average time it took the students to complete the mile. Assume the data is from a normally distributed population. Round answers to 2 decimal places where possible.
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Assume researchers are trying to find out the mean concentration levels of a specific drug in a population of individuals’ blood during a clinical trail. The researchers find that the sample population of 30 has a mean concentration of 6.7 mcg/mL with a standard deviation of 1.3 mcg/ mL. Calculate a 95% confidence interval for the mean concentration level of the medication for the population’s blood and interpret it.
Mrs. Gallas wanted to estimate the average weight of an Oreo cookie to determine if theaverage weight was less than advertised. She selected a random sample of 30 cookies andfound the weight of each cookie (in grams). The mean weight was = 11.1921 grams with astandard deviation of sx = 0.0817 grams. Make a 95% confidence interval to estimate the truemean weight of an Oreo. 1. What is the formula for calculating the standard deviation of the sampling distribution of x? 2.What condition must be met to use this formula? Has it been met?
Diabetes Plasma-glucose levels are used to determine the pres- ence of diabetes. Suppose the mean In (plasma-glucose) concentration (mg/dL) in 35- to 44-year-olds is 4.86 with standard deviation = 0.54. A study of 100 sedentary people in this age group is planned to test whether they have a higher or lower level of plasma glucose than the general population. 7.7 If the expected difference is 0.10 In units, then what is the power of such a study if a two-sided test is to be used with a = .05? 7.8 Answer Problem 7.7 if the expected difference is 0.20 In units. 7.9 How many people would need to be studied to have 80% power under the assumptions in Problem 7.7?
The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the two rear wheels of eight cars and runs the cars until the tires wear out. The data (in kilometers) follow. Find a 99% confidence interval on the difference in the mean life. Car Brand 1 Brand 2 1 36,925 34,318 2 45,300 42,280 3 36,256 35.548 4 32,100 31,950 5 37,210 38,015 6 48,360 47,800 7 38.200 37,810 8 33,500 33,215 Round your answer to 2 decimal places. Do not use commas.
A sample of 100 postal employees found that the mean time these employees had worked for the postal service was eight years. Assume we know the standard deviation of the population of times postal service employees have spent with the postal service is five years. Find the 98% confidence interval for the mean time the population of postal service employees have spent with the postal service.
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 chemical engineer for a tire manufacturer is investigating tire life for a new rubber compound and has built 15 tires and tested them to end-of-life in a road test. The sample mean and standard deviation are i = 60,139.7 ands = 3645.94 kilometers. Find a 99% confidence interval on the mean tire life. Which t-distribution curve applies on the 99% confidence interval? Include your solution. O a. 57,336 sH S 62,914 O d. 57,337 Su S 62,942 t-2.947 O b. NONE O. 57,337 sH S 62,94
A researcher collected sample data for 10 women ages 18 to 24. The sample had a mean serum cholesterol level (measured in mg/100 mL) of 188.4, with a standard deviation of 5.7. Assuming that serum cholesterol levels for women ages 18 to 24 are normally distributed, find a 99% confidence interval for the mean serum cholesterol level of all women in this age group. Then find the lower limit and upper limit of the 99% confidence interval.
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