Hi, I've been confused about the problem since I can't seem to find the population mean. I've attached a picture of the problem. Thanks !! Question 1:Scores on the Wechsler Intelligence Scale for Children (WISC) in neurotypical children have averagemean 100 and sample standard deviation 15.Assume the population standard deviation is the same in neurotypical and autistic children, but thepopulation mean in autistic children is unknown.a) Suppose we take a sample of 49 autistic children. What is the p-value hypothesis test of H1:u=95vs. H1:µ#95 using a=0.05? Round your answer to 3 decimal places.b) What is the critical value? Express your answer as a decimal rounded to the nearest thousandth(3 decimal places).c) The probability of committing a Type I Error on this test is:d) The probability of committing a Type II Error on this test is:

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Answered: ~ Scores on the Wechsler Intelligence…

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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Hi, I've been confused about the problem since I can't seem to find the population mean. I've attached a picture of the problem. Thanks !!

Question 1:
Scores on the Wechsler Intelligence Scale for Children (WISC) in neurotypical children have average
mean 100 and sample standard deviation 15.
Assume the population standard deviation is the same in neurotypical and autistic children, but the
population mean in autistic children is unknown.
a) Suppose we take a sample of 49 autistic children. What is the p-value hypothesis test of H1:u=95
vs. H1:µ#95 using a=0.05? Round your answer to 3 decimal places.
b) What is the critical value? Express your answer as a decimal rounded to the nearest thousandth
(3 decimal places).
c) The probability of committing a Type I Error on this test is:
d) The probability of committing a Type II Error on this test is:

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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