Answered: State the null and alternative…

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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A researcher was interested in comparing the amount of time spent watching television by women and by men. Independent random sample of 14 women and 17 men were selected, and each person was asked how many hours he or she had watched television during the previous week. The summary statistics are shown below. Do the data provide enough evidence to show that the mean amount of time spent watching television by women is different from the mean amount of time spent watching television by men? What's the difference between population means for the time?

Women	Men
x1=12.5	x2=13.9
s1=3.9	s2=5.2
n1=14	n2=17

Answer questions #1-#8 to investigate the hypothesis using hypothesis test at a 5% significance level. Answer question #9 to estimate the difference of population means using a 95% confidence level.

1. State the null and alternative hypothesis as an expression?

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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