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Name: Assume the population standard deviation is 2.65. Find a 95% confidenc
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Description: Assume the population standard deviation is 2.65. Find a 95% confidence interval for your sample mean? Suppose someone with some authority claims the actual population mean is 79. You think the mean is actually less than that. You are to conduct appr

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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Assume the population standard deviation is 2.65. Find a 95% confidence interval for your sample mean?

Suppose someone with some authority claims the actual population mean is 79. You think the mean is actually less than that. You are to conduct appropriate hypothesis test on the mean using your sample mean.

State the null hypothesis Ho:?

State the alternative hypothesis Ha:?

Use the appropriate test to accept or reject the null hypothesis at alpha = .05

What hypothesis test did you use (z-test, t-test, 1-proportion z-test)?

Enter your test statistic : ?

Sketch appropriate curve and label your critical values and your test statistic: ?

Data below

72
75
72
73
71
69
69
77
78
73
74
74
80
71
75
80
77
77
73
75
75
70
72
77
75
75
74
75
77
76

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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