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The purpose of the study is to determine whether mean body mass index of men is equal
to mean body mass index of women. In order to conduct the statistical test, hypothesis statement
is of great importance. Since the number of study participants or the sample size of the data is 40
(n>30) and the population standard deviations is not known, we use one-sample t-test for the
study. The study was conducted at significance level using MS-Excel statistical software.
Hypothesis Statement
Null hypothesis: mean body mass index (BMI) of men is equal to mean body mass index (BMI)
of women
Alternative hypothesis: mean body mass index (BMI) of men is NOT equal to mean body mass
index (BMI) of women
OR
󰇛󰇜
=
󰇛󰇜
󰇛󰇜
󰇛󰇜
Assumptions of the Statistical Test
i. Population standard deviations for the two sample data are not equal.
ii. The two sample data are selected from normal distribution population.
iii. The variance of the population is unknown.
Excel Output
t-Test: Two-Sample
Assuming Unequal Variances
Variable 1
Variable 2
Mean
25.74
25.9975
Variance
38.01425641
11.76999359
Observations
40
40
Hypothesized Mean
0
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Difference
df
61
t Stat
-0.23081352
P(T<=t) one-tail
0.409116037
t Critical one-tail
1.670219484
P(T<=t) two-tail
0.818232075
t Critical two-tail
1.999623567
Results an Interpretation
Decision rule: Reject null hypothesis if p-value is less than 0.05 otherwise fail to reject
null hypothesis at 5% level of significance.
From the excel output table, the mean BMI for men is 25.74 (M=25.74) with a standard
deviation of 38.01 while the mean BMI for women is 25.998 (M=25.998) with a standard
deviation of11.77. Test results show that

=0.818 while

= -.2308. Since 0.818
>0.05 we fail reject null hypothesis on basis that test results are not statistically significant at 5%
level of significance. In addition, the observed t value is less than critical t value hence the test
results are not statistically significant. Therefore, we conclude that mean body mass index
(BMI) of men is equal to mean body mass index (BMI) of women.

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The purpose of the study is to determine whether mean body mass index of men is equal to mean body mass index of women. In order to conduct the statistical test, hypothesis statement is of great importance. Since the number of study participants or the sample size of the data is 40 (n>30) and the population standard deviations is not known, we use one-sample t-test for the study. The study was conducted at 95% significance level using MS-Excel statistical software. Hypothesis Statement Null hypothesis: mean body mass index (BMI) of men is equal to mean body mass index (BMI) of women Alternative hypothesis: mean body mass index (BMI) of men is NOT equal to mean body mass index (BMI) of women OR 𝐻𝐵𝑀𝐼(𝑚𝑎𝑙𝑒) = 𝐻𝐵𝑀𝐼(𝑓𝑒𝑚𝑎𝑙𝑒) 𝐻𝐵𝑀𝐼(𝑚𝑎𝑙𝑒) ≠ 𝐻𝐵𝑀𝐼(𝑓𝑒𝑚𝑎𝑙𝑒) Assumptions of the Statistical Test i. Population standard deviations for the two sample data are not equal. ii. The two sample data are selected from normal distribution population. iii. The variance of the population is unknown. Excel Output t-Test: Two-Sample Assuming Unequal Variances Mean Variance Observations Hypothesized Mean Variable 1 25.74 38.01425641 40 0 Variable 2 25.9975 11.76999359 40 Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail 61 -0.23081352 0.409116037 1.670219484 0.818232075 1.999623567 Results an Interpretation Decision rule: Reject null hypothesis if p-value is less than 0.05 otherwise fail to reject null hypothesis at 5% level of significance. From the excel output table, the mean BMI for men is 25.74 (M=25.74) with a standard deviation of 38.01 while the mean BMI for women is 25.998 (M=25.998) with a standard deviation of11.77. Test results show that 𝑝0.05=0.818 while 𝑡0.05,𝑑𝑓=61 = -.2308. Since 0.818 >0.05 we fail reject null hypothesis on basis that test results are not statistically significant at 5% level of significance. In addition, the observed t value is less than critical t value hence the test results are not statistically significant. Therefore, we conclude that mean body mass index (BMI) of men is equal to mean body mass index (BMI) of women. Name: Description: ...
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