You wish to test the following claim (Ha) at a significance level of α=0.005. Ho:µ=86.3 Ha:µ=≠86.3You believe the population is normally distributed and you know the standard deviation is σ=12.8. You obtain a sample mean of M=83.7 for a sample of size n=47.What is the critical value for this test? critical value = ±What is the test statistic for this sample? test statistic = You wish to test the following claim (H) at a significance level of a = = 0.005.Ho : μ = 86.3Ha : μ # 86.3You believe the population is normally distributed and you know the standarddeviation is o = 12.8. You obtain a sample mean of M = 83.7 for a sample of sizen = 47.=What is the critical value for this test? (Report answer accurate to three decimalplaces.)critical value=+What is the test statistic for this sample? (Report answer accurate to three decimalplaces.)test statistic =The test statistic is...in the critical regionnot in the critical region

The hypothesis is ; . The sample size is 47, the sample mean is 83.7 and the population standard deviation is 12.8.The two-tailed area is,By using the EXCEL, the critical value is obtained below:Thus, the critical value is .The test statistic for this sample is,Thus, the test statistic is -1.393.Since the test statistic is not in the critical region indicates that the null hypothesis is not rejected.Thus, there is not sufficient evidence to support the claim .The critical value is .The test statistic is -1.393.The test statistic is not in the critical region.There is not sufficient evidence to support the claim .

Answered: ou wish to test the following claim…

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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You wish to test the following claim (H_a) at a significance level of α=0.005.
H_o:µ=86.3
H_a:µ=≠86.3
You believe the population is normally distributed and you know the standard deviation is σ=12.8. You obtain a sample mean of M=83.7 for a sample of size n=47.
What is the critical value for this test?
critical value = ±
What is the test statistic for this sample?

test statistic =

You wish to test the following claim (H) at a significance level of a = = 0.005.
Ho : μ = 86.3
Ha : μ # 86.3
You believe the population is normally distributed and you know the standard
deviation is o = 12.8. You obtain a sample mean of M = 83.7 for a sample of size
n = 47.
=
What is the critical value for this test? (Report answer accurate to three decimal
places.)
critical value
=
+
What is the test statistic for this sample? (Report answer accurate to three decimal
places.)
test statistic =
The test statistic is...
in the critical region
not in the critical region

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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