You are estimating the mean waiting time in line at a particular fast-foodrestaurant. You ask 30 customers, at varying times of the day. How longthey waited in line before placing their order. You then take the average ofthese values and use this average to estimate the mean waiting time forall customers. The average of the 30 values is an example of a(n):Confidence estimateChebyshev estimatePoint estimateWhen n≥30 and the population standard deviation is unknown, what isthe appropriate distribution?PRОтO ZO Interval estimate We use the t-distribution to make a confidence interval for the population *mean from which the sample is drawn is normally distributed, thepopulation standard deviation is unknown, and the sample size is at least:251530

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Answered: When n≥30 and the population standard…

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 average time to run the 5K fun run is 22 minutes and the standard deviation is 2.7 minutes. 43 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( b. What is the distribution of a? a- N( c. What is the distribution of ) x? x - N( С. d. If one randomly selected runner is timed, find the probability that this runner's time will be between 21.7824 and 22.2824 minutes. e. For the 43 runners, find the probability that their average time is between 21.7824 and 22.2824 minutes. f. Find the probability that the randomly selected 43 person team will have a total time less than 967.5. g. For part e) and f), is the assumption of normal necessary? ONo Yes h. The top 15% of all 43 person team relay races will compete in the championship round. These are the 15% lowest times. What is the longest total time that a relay team can have and still make it to the…
This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.
n a trial for the university athletics competition, one aims to estimate the mean chest size of the male athletes. A random sample of 70 male athletes gave rise to an average chest size of 42 inches with a standard deviation of 16 inches. What would be the distribution of the statistic that we need to estimate the mean chest size? a. It is a normal distribution with mean 42 inches and standard deviation 16 inches. b. it is a student's t distribution with degree of freedom 69. c. It is a student's t distribution with mean 42 inches and standard deviation 16 inches. d. it is a normal distribution with degree of freedom 69. 2.What is the standard error of the sample mean in problem 1? a. 1.91 b. 0.23 c. 17.5 d. 16 3. What would be the margin of error for a 95% confidence interval of the true chest size in problem 1? a. 0.46 b. 0.52 c. 3.82 d. 4.38
For most distributions, we can use the normal distribution to make a confidence interval for a population mean provided that the population standard deviation o is known and the sample size is: O greater than 30. O less than 25. greater than 100. O greater than or equal to 30.
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When n≥30 and the population standard deviation is unknown, what is the appropriate distribution? P R T O Z