For most distributions, we can use the normal distribution to make a confidence interval for a population mean provided that thepopulation 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.

confidence interval:-Confidence interval gives the estimated range for unknown populationmean from…

Answered: For most distributions, we can use the…

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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let x be a ramdom variable with mean= 150 and standard deviation =4.2. Ramdom samples of fixed size n=30 are drawn from the distribution of x. determine the distribution, mean, and standard deviation of sample mean
Given a normal distribution with mean of 14 & standard deviation of 2. What is the P (13 ≤ x ≤ 15)? Write every rule you are going to use
Can a normal approximation be used for a sampling distribution of sample means from a population with u = 55 and o = 10, when n = 4? Answer E Tables E Keypad Keyboard Shortcuts O Yes, because the mean is greater than 30. O Yes, because the sample size is less than 30. O No, because the sample size is less than 30. O No, because the standard deviation is too small.
In a t distribution, the critical values will always be the same (not dependent on sample size).TrueFalse
An IQ score has a Normal distribution with mean 50 and standard deviation 5. Assume we want a sample of size 9. What proportion of sample means (of size 9) are less than 46.1? (Select nearest answer if your exact answer is not provided below). Group of answer choices 0.16 0.05 0.01 0.0013
Prove that for the normal distribution, the quartile deviation, the mean deviation and standard deviation are approximately 10 : 12 : 15.
The average length of time for students to register in the second semester at a certain university has been 55 minutes. A new registration procedure is being tested. If random samples of 16 students have an average of 50 minutes with standard deviation of 12 minutes under system, can you conclude that the new system is faster than the old one? Assume that the average length of time is normally distributed. Use ά = 0.05.
Assume all populations are normally distributed. A travel analyst claims that the mean price of a round trip flight from New York City to Los Angeles is less than $507. In a random sample of 55 round trip flights from NYC to LA, the mean price is $502. Assume the population standard deviation is $111. At α = 0.05, is there enough evidence to support the travel analyst’s claim?
The t distribution should be used whenever: Select one: A. the population is not normally distributed. B. the sample standard deviation is used to estimate the population standard deviation. C. None of the answers are correct. D. the sample size is less than 30.
An elevator can safely hold 3500 pounds. A sign in the elevator limits the passenger count to 15. If the adult population has a mean weight of 180 pounds with a 25-pound standard deviation, how unusual would it be, if the central limit theorem applied, that an elevator holding 15 people would be carrying more than 3500 pounds? Note. Use pnorm which is the normal distribution function of R.
If the sample size is large, the normal distribution could be used for the interval estimate of the population proportion pTrue or False

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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. O greater than 100. O greater than or equal to 30.