19. We want to test whether males are taller than females. Heights of males and females are collected and the excel outputs are given below. Assume height is normally distributed for males and females with equal variances. t-Test: Two- sample Assuming Equal Variances MaleFemaleMean170.86169.1333Variance11.224915.93636Observations5045Pooled Variance13.45398 Hypothesized Mean Difference0 df93 t Stat2.290934 P(T<=t) one-tail0.012113 t Critical one-tail1.416397 P(T<=t) two-tail0.024226 t Critical two-tail1.770027 t-Test: Two-Sample assuming unequal variances: MaleFemaleMean170.86169.1333Variance11.224915.93636Observations5045Hypothesized Mean Difference 0 df86 t Stat2.269888 P(T<=t) one-tail0.012857 t critical one-tail1.417327 P(T<=t) two-tail0.025715 t Critical two-tail1.771619 You are given two excel outputs. Select the appropriate excel output to answer questions.Write down the p-value for this test given in the table (give you answer to 4 decimal places).

Name: 19. We want to test whether males are taller than females. Heights of
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Description: 19. We want to test whether males are taller than females. Heights of males and females are collected and the excel outputs are given below. Assume height is normally distributed for males and females with equal variances. t-Test: Two- sample Assumi

Correct output: t-Test: Two- sample Assuming Equal Variances Male Female Mean 170.86…

Answered: We want to test whether males are…

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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19.

We want to test whether males are taller than females. Heights of males and females are collected and the excel outputs are given below. Assume height is normally distributed for males and females with equal variances.

t-Test: Two- sample Assuming Equal Variances

	Male	Female
Mean	170.86	169.1333
Variance	11.2249	15.93636
Observations	50	45
Pooled Variance	13.45398
Hypothesized Mean Difference	0
df	93
t Stat	2.290934
P(T<=t) one-tail	0.012113
t Critical one-tail	1.416397
P(T<=t) two-tail	0.024226
t Critical two-tail	1.770027

t-Test: Two-Sample assuming unequal variances:

	Male	Female
Mean	170.86	169.1333
Variance	11.2249	15.93636
Observations	50	45
Hypothesized Mean Difference	0
df	86
t Stat	2.269888
P(T<=t) one-tail	0.012857
t critical one-tail	1.417327
P(T<=t) two-tail	0.025715
t Critical two-tail	1.771619

You are given two excel outputs. Select the appropriate excel output to answer questions.

Write down the p-value for this test given in the table (give you answer to 4 decimal places).

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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