In order to fairly set the flat rates for auto mechanics, a shop foreman needs to estimate theaverage time it takes to replace a fuel pump in a car. How large the sample must be selectedif he wants to be 95 % confident that the average time is within 15 minutes of the sampleaverage. Assume that the sample standard deviation of all times is 34 minutesO 20O 75O 100○ 50

Given information: confidence level is 95%=0.95. sample standard deviation is 34 minutes The average…

Answered: In order to fairly set the flat rates…

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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Matthew wants to estimate the mean fat content of a pack of potato chips manufactured by UniBee Foods. He wants to be 90% confident that the estimate is accurate within 0.5 mg. Old records showed a 1.2 mg standard deviation. What should be the minimum sample size that he needs to construct this estimate?
The speed of cars on a specific road is normally distributed with a mean of 54 mph and a standard deviation of 3. The top 2.5% of cars are traveling at at least what mph?
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 40 feet. Assume the population standard deviation is 4.9 feet. The mean braking distance for Make B is 44 feet. Assume the population standard deviation is 4.6 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Identify the claim and state H, and Ha. What is the claim? A. The mean braking distance is different for the two makes of automobiles. B. The mean braking distance is less for Make A automobiles than Make B…
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
The average labor charge for automobile mechanics is OMR 69 per hour. The standard deviation is OMR 18. Find the minimum percentage of data values that will fall within the range of OMR 68 to OMR 80. Use Chebyshev's theorem. SHOW ALL THE WORKINGS, FORMULA etc.
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.79 millimeters and a standard deviation of 0.07 millimeters. Find the two diameters that separate the top 7% and the bottom 7%. These diameters could serve as limits used to identify which bolts should be rejected. Round to the nearest hundredth if necessary.
The distribution of the student heights at a large college is approximately bell shaped. If the mean height is 66 inches,and approximately 95% of the heights fall between 32 and 100 inches, then, the standard deviation of the heightdistribution is approximately equal to
Jeff is doing an experiment involving mice. The mice weights have mean weight 3.74 ounces and standard deviation 0.026 ounces. Jeff selects 100 mice independently and calculates the sample mean, x̄, of their weights. What is the standard deviation of x̄?
The president of a college wants to determine the mean number of units that college students take per semester. How large of a sample is required in order to be 99% sure that a sample mean will be off by no more than 1.25 units? An initial study suggested that the standard deviation is approximately 2.1 units.
Assume that adults have IQ scores that are normally distributed with a mean of 96 and a standard deviation 19.3. Find the first quartile Q1,which is the IQ score separating the bottom 25% from the top 75%. The first quartile is?
In a class with 50 students, a 60-item test is conducted. After the test, it is found that the mean of the scores is 40 and the standard deviation is 5. Assuming normal frequency distribution, determine the scores of the students within 1 standard deviation.
A reading class can read an mean of 175 words per minute and a population standard deviation of 20 words per minutes. The top 3% of the class is to receive a special award for a random sample of 49 students. What is the minimum average number of words per minute a student would need to read in order to get the award for a random sample of 49 students? Assume the data is normally distributed.

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