Answered: State the alternative hypothesis. Ha…

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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State the alternative hypothesis. H_{a for the following.}

IMPORTANT DIRECTIONS:

1) Type u for and p for p. (Use the correct parameter.)

2) Type your answer without spaces. So a sample answer will look like (use u or p as appropriate)

p<___ or u<___

p>___ or u>___

p<=____ or u<=____ (without spaces)

p>=___ or u>=___(without spaces)

p=___ or u=___

pnot=___ or unot=___(without spaces)

where the blank is the appropriate number.

3) For decimals, type .45 not 0.45

For large numbers do not type the comma. For 15,000, type 15000.

About half of Americans prefer to live away from cities, given the choice. H_a
Europeans have a mean paid vacation each year of six weeks. H_a
The chance of developing breast cancer is under 11% for women. H_a
Private universities' mean tuition cost is more than $20,000 per year. H_a

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 + ...

Expert Solution

Step 1

Null Hypothesis: Hypothesis with no difference is called Null hypothesis (H_o).

Alternative Hypothesis: A hypothesis rather than a null hypothesis is called the alternative hypothesis(H_a).

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