5. Two-Sample T-Test and CI: Calories, Gender Method : mean of Calories when Gen

Question

5. Two-Sample T-Test and CI: Calories, Gender

Method

: mean of Calories when Gender = Female

µ: mean of Calories when Gender = Male

Difference: - µ

Equal variances are not assumed for this analysis.

Descriptive Statistics: Calories

Gender   N       Mean   StDev    SEMean

Female 273     1741   620          38

Male        42     2156    917          141

Test

Null hypothesis            H: - µ = 0

Alternative hypothesis            H: - µ 0

T-Value                            P-Value

-2.83                                  -------

Use the output above to answer the questions below.

Calculate the p-value associated the test statistic.  

b. What is your conclusion based on the above calculated p-value?

d. If a 95% confidence interval for the actual mean calorie amount consumed by females is (1600, 2000), can you conclude that women on the average consume less than 1800 calories? Explain your reasoning..

Explanation / Answer

b) degrees of freedom = 243 + 42 - 2 = 283

t score = - 2.83

P value = The P-Value is .004988.

d) Full data is not given

But since 1800 lies in the interval

Null cant be rejected

We cant conclude that women on the average consume less than 1800 calories

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