Question

In: Statistics and Probability

In the paper, "Sex Differences in Static Strength and Fatigability in Three Different Muscle Groups" Research...

In the paper, "Sex Differences in Static Strength and Fatigability in Three Different Muscle Groups" Research Quarterly for Exercise and Sports, J. Misner et al. published results of a study on leg strength of males and females. Using the data in the data set named Leg Strength, conduct a 2-Sample t-test to determine if there is a significant difference in mean leg strengths for males and females. Assume equal variances and a 95% confidence level.

1) What is the p-value associated with the 2-Sample t-test?

2) What is the p-value reported in the ANOVA table?

MALE FEMALE Leg Strength Sex
2632 1344 2632 MALE
1796 1351 1796 MALE
2256 1369 2256 MALE
2235 2479 2235 MALE
2298 1573 2298 MALE
1917 1665 1917 MALE
1105 1791 1105 MALE
1926 1866 1926 MALE
2644 1544 2644 MALE
1569 2359 1569 MALE
3129 1694 3129 MALE
2167 2799 2167 MALE
1977 1868 1977 MALE
2098 1344 FEMALE
1351 FEMALE
1369 FEMALE
2479 FEMALE
1573 FEMALE
1665 FEMALE
1791 FEMALE
1866 FEMALE
1544 FEMALE
2359 FEMALE
1694 FEMALE
2799 FEMALE
1868 FEMALE
2098 FEMALE

Solutions

Expert Solution

Using Excel

1)

for 2- sample t-test

data -> data analysis -> t-Test: Two-Sample Assuming Equal Variances

t-Test: Two-Sample Assuming Equal Variances
MALE FEMALE
Mean 2127 1842.857143
Variance 263156.1667 198884.4396
Observations 13 14
Pooled Variance 229734.8686
Hypothesized Mean Difference 0
df 25
t Stat 1.539136356
P(T<=t) one-tail 0.068166802
t Critical one-tail 1.708140761
P(T<=t) two-tail 0.136333605
t Critical two-tail 2.059538553

p-value = 0.136333605

2)

for Anova

data -> data analysis -> Anova: Single Factor

Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
MALE 13 27651 2127 263156.2
FEMALE 14 25800 1842.857 198884.4
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 544228.3 1 544228.3 2.368941 0.136334 4.241699
Within Groups 5743372 25 229734.9
Total 6287600 26

p-value =0.136334

Note that p-value remains same in t-test and ANOVA


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