1) The population of SAT scores is normal with u = 500 and o- 100. If you get a sample of n 25 students, what isthe probability that the sample mean will be greater than M-540?Be sure to draw out your distribution and clearly indicate where the score falls within the distribution. Alsoshade in the area in question.2) For a given u = 80 and o = 25. If you get a sample of n - 35, what is the probability that the sample mean will beless than M = 75?Be sure to draw out your distribution and clearly indicate where the score falls within the distribution. Alsoshade in the area in question.

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Answered: 1) The population of SAT scores is…

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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Suppose we have a normal distribution N(2, 4), using the Empirical rule, what proportion of data is between the data values -2 and 6?
Two devices are used to measure the length of beam. If the true length of the beam is L, the measurement error made by one device, E, , is normally distributed with mean 0 and standard deviation 0.006L, and the measurement error made by the other device, E, , is normally distributed with mean 0 and standard deviation 0.004L. The two measurement errors are independent of each other. What is the probability that the average value of the two measurements, (E, + E,)/2, is within 0.5% of L? Note that this problem can be done using the attached table of the cdf of the standard normal random variable.
Answer number 3 to 5 pls. I don't want to waste my money here
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Provide an original example of some practical case where we can use the normal distribution (e.g., IQ scores follow a normal distribution of probabilities with a mean IQ of 100 and a standard deviation of 15 IQ points.). Assign your numbers for mean 70 and standard deviation 30. Make sure 70 is about four times bigger than 30. Then select any number 90 below or above mean 70, but not too far from 70. Find following two probabilities: 1) P(x < a)2) P(x > a)Use the formula z = (a - μ)/σ to calculate your z-value. Please refer to the Appendix Table for the Standard Normal Distribution Hint: To find P(x>a) use formula: P(x>a) = 1 - P(x<a). Describe how to would find P( 65 < x < 25). Provide an original example to illustrate how to find such probabilities.
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Identify the IV and the scale of measurement; Identify the DV and the scale of measurement and for the IV – identify the number of levels; Identify null and alternative hypotheses, are they directional or non-directional? Assume that the distributions of the populations are approximately normal.
4. The grades in an exam have a normal distribution with u=75 averages and o=8 standard deviation. The teacher gives AA to those who score 90 and above. Since 12 students got AA, what is the approximate number of students taking the exam?
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 67 minutes and a standard deviation of 16 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible.b. Find the probability that a randomly selected person at the hot springs stays longer then 77 minutes. c. The park service is considering offering a discount for the 4% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? minutes.d. Find the Inter Quartile Range (IQR) for time spent at the hot springs.Q1: (. ) minutesQ3: ( )minutesIQR:( )minutes PLEASE ANSWER ALL 3 SUBS B, C, AND D
The volume of blood in an adult human body follows a normal distribution with a mean of 5.2 liters and a standard deviation of 0.3 liters. Use this information to answer questions 11- 13 and remember required steps. 11. If a random sample of 16 adults is selected, calculate the probability that their mean blood volume is lower than 5.4 liters. 12. If a single adult is selected, calculate the probability the blood volume is higher than 5.9 liters. 13. What is the first quartile for blood volume for all adults?
Find the quartiles of the Normal distribution having mean 60 and S.D 10.

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