Suppose that a random sample of size 36 is to be selected from a population with mean 47 and standard deviation 8. Wis the approximate probability that X will be more than .5 away from the population mean?0.2923O 0.0498O 0.4923O 0.5847O 0.7077O None of the above

Population mean μ = 47Standard deviation σ = 8Sample size = 36We have given that x¯ will be more…

Answered: Suppose that a random sample of size 36…

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 a study of life expectancy in a certain region, the mean age at death was 70 years, and the standard deviation was 5 years. The life expectancy (years) is assumed to follow a skewed distribution. Suppose that a random sample of 45 people from this region is selected. The mean life expectancy (years) of the sample is considered a random variable. What is its standard error? 0.5976 O 2.2361 O 5.2341 O 0.1111
4. A random sample of size 36 is taken from a population with mean 10 and standard deviation 12. Find the probability that the sample mean will be between 11 and 12. |
Suppose that a population has a mean of 4 with a standard deviation of 1.25. Suppose a sample of size 25 is taken from the population. What is the approximate probability that the mean of the sample will be less than 3.63? Round to 3 decimal places O 0.382 O 0.069 O 0.931 O 0.296 < Question 21 of 30
If we know that a normal distribution has a mean of H- 100 with o 20, and if one score is randomly selected from this distribution, what is the probability that the score will have a value between X 100 and X 130? 0,8664 0 0.4332 O 0.9332 G0.0668
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Suppose that the mean value of interpupillary distance (the distance between the pupils of the left and right eyes) for adult males is 65 mm and that the population standard deviation is 5 mm. (Round your answers to four decimal places.) If the distribution of interpupillary distance is normal and a random sample of n = 25 adult males is to be selected, what is the probability that the sample mean distance x for these 25 will be between 63 and 67 mm? What is the probability that the sample mean distance x for these 25 will be at least 68 mm? Suppose that a sample of 100 adult males is to be obtained. Without assuming that interpupillary distance is normally distributed, what is the approximate probability that the sample mean distance will be between 63 and 67 mm? Without assuming that interpupillary distance is normally distributed, what is the approximate probability that the sample mean distance will be at least 68 mm?
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Suppose that a random sample of size 36 is to be selected from a population with mean 47 and standard deviation 8. V is the approximate probability that X will be more than .5 away from the population mean? 0.2923 O 0.0498 O 0.4923 O 0.5847 O 0.7077 O None of the above