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 unequal variances. t-Test: Two-Sample Assuming Equal Variances t-Test: Two-Sample Assuming Unequal Variances Male Female Mean 170.86 169.1333 Male Female Variance 11.2249 15.93636 Мean 170.86 169.1333 Observations 50 45 Variance 11.2249 15.93636 Pooled Variance 13.45398 Observations 50 45 Hypothesized Mean Difference Hypothesized Mean Difference df 93 df 86 t Stat 2.290934 t Stat 2.269888 P(T<=t) one-tail t Critical one-tail P(T<=t) one-tail t Critical one-tail 0.012113 0.012857 1.661404 1.662765 P(T<=t) two-tail t Critical two-tail P(T<=t) two-tail t Critical two-tail 0.024226 0.025715 1.985802 1.987934 You are given two excel outputs. Select the appropriate output to answer questions. Write down the p-value for this test given in the table (give you answer to 4 decimal places).

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QUESTION 4
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 unequal variances.
t-Test: Two-Sample Assuming Equal Variances
t-Test: Two-Sample Assuming Unequal Variances
Male
Female
Male
Female
Mean
Variance
Observations
170.86 169,1333
11.2249 15.93636
Mean
170.86 169.1333
Variance
Observations
Hypothesized Mean Difference
50
45
11.2249 15.93636
Pooled Variance
13.45398
50
45
Hypothesized Mean Difference
df
93
86
t Stat
2.290934
t Stat
2.269888
P(T<=t) one-tail
t Critical one-tail
P(T<=t) one-tail.
t Critical one-tail
0.012857
1.662765
0.012113
1.661404
P(T<=t) two-tail
t Critical two-tail
0.025715
P(T<=t) two-tail
t Critical two-tail
0.024226
1.985802
1.987934
You are given two excel outputs. Select the appropriate output to answer questions.
Write down the p-value for this test given in the table (give you answer to 4 decimal places).
Transcribed Image Text:QUESTION 4 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 unequal variances. t-Test: Two-Sample Assuming Equal Variances t-Test: Two-Sample Assuming Unequal Variances Male Female Male Female Mean Variance Observations 170.86 169,1333 11.2249 15.93636 Mean 170.86 169.1333 Variance Observations Hypothesized Mean Difference 50 45 11.2249 15.93636 Pooled Variance 13.45398 50 45 Hypothesized Mean Difference df 93 86 t Stat 2.290934 t Stat 2.269888 P(T<=t) one-tail t Critical one-tail P(T<=t) one-tail. t Critical one-tail 0.012857 1.662765 0.012113 1.661404 P(T<=t) two-tail t Critical two-tail 0.025715 P(T<=t) two-tail t Critical two-tail 0.024226 1.985802 1.987934 You are given two excel outputs. Select the appropriate output to answer questions. Write down the p-value for this test given in the table (give you answer to 4 decimal places).
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