Many college graduates who are employed full-time have longer than 40-hour work weeks. Suppose that we wish to estimate the mean number of hours, μ,worked per week by college graduates employed full-time. We'll choose a random sample of college graduates employed full-time and use the mean of thissample to estimate H. Assuming that the standard deviation of the number of hours worked by college graduates is 6.10 hours per week, what is the minimumsample size needed in order for us to be 99% confident that our estimate is within 1.3 hours per week of μ?Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum wholenumber that satisfies the requirements).(If necessary, consult a list of formulas.)0ContinueXŚB6topⒸ2022 McGraw Hill LLC. All Rights Reserved. Terms of UaFiles nowRemovable device detectedExplore the device's content in thetent is restricted by an admin armodified.Open Files app?Aug 198:3

Sample size is the number of observation involved in the sample. Sample is the subset of population…

Answered: Many college graduates who are employed…

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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The ages of a group of 153 randomly selected adult females have a standard deviation of 17.8 years. Assume that the ages of female statistics students have less variation than ages of females in the general population, so let o = 17.8 years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics students? Assume that we want 98% confidence that the sample mean is within one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? The required sample size is . (Round up to the nearest whole number as needed.)
Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
An industrial engineer is conducting a time study for a work element. The select time is 4.5 minutes, and the sample standard deviation of the observed time is 20 seconds. What is the appropriate sample size if the estimate is to be 5 percent of the true average time 95 percent of the time?
The ages of a group of 124 randomly selected adult females have a standard deviation of 16.1 years. Assume that the ages of female statistics students have less variation than ages of females in the general population, so let o= 16.1 years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics students? Assume that we want 99% confidence that the sample mean is within one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? %3D The required sample size is. (Round up to the nearest whole number as needed.)
Calculate the estimated standard error for the case where the sample standard deviation is 25 and the sample size 137. Answer to three decimal places if necessary, you may round up or down.
A non-symmetric dataset has a mean of 200 and a standard deviation of 15. Find an upper bound for the proportion of data points that are either greater than 230 or less than 170.
Humerus bones from the same species of animal have approximately the same length-to-width ratios. It is known that Species A has a mean ratio of 5.9. Suppose that 100 fossil humerus bones were unearthed at a site where Species A is known to have flourished. (We assume that all bones are from the same species.) The length-to-width ratios of these bones have a sample mean 5.6 and sample standard deviation 0.25. Can we conclude that the mean ratio of these bones is significantly smaller than those of Species A? Test with a 0.01 significance level. What is the standard error?
For samples selected for population with a mean of 90 and a standard deviation of 30, what sample size is necessary to make the standard distance between the sample mean and the population mean equal to five points?
The ages of a group of 138 randomly selected adult females have a standard deviation of 17.5 years. Assume that the ages of female statistics students have less variation than ages of females in the general population, so leto= 17.5 years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics students? Assume that we want 95% confidence that the sample mean is within one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? The required sample size is (Round up to the nearest whole number as needed.)
Q2) A certain machine makes electrical resistors having a mean resistance of 60 ohms and a standard deviation of 2 ohms. Assuming that the resistance follows a normal distribution and can be measured to any degree of accuracy, what percentage of resistors will have a resistance exceeding 63 ohms?
During the busy season, it is important for the shipping manager at ShipMundo to be able to estimate the time it takes the loading crew to load a truck. The shipping manager has found that she can model the load times using a normal distribution with a mean of 152 minutes and a standard deviation of 15 minutes. Use this table or the ALEKS calculator to find the percentage of load times between 116 minutes and 149 minutes according to the model. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%).
The principal at Riverside High School would like to estimate the mean length of time each day that it takes all the buses to arrive and unload the students. What is the minimum sample size needed if the principal would like to be 90% confident that the sample mean is off by, at most, 2 minutes. Assume that standard deviation is 14 minutes. (Approximate the final answer)

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