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

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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).

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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