I NEED TO KNOW HOW TO CALCULATE THE VARIANCE (WITH ALL STEPS PLEASE) I KNOW HOW

Question

I NEED TO KNOW HOW TO CALCULATE THE VARIANCE (WITH ALL STEPS PLEASE) I KNOW HOW TO CALCULATE THE STANDARD ERROR AND DEVIATION.

Abbreviations N=number of observations Std Err=standard error denDF=denominator degrees of freedom CL=confidence limit numDF=numerator degrees of freedom Std Dev standard deviation F value-calculated F value I. Each of you have been given the task of evaluating whether the oral temperature differs between the genders. You were given a randomly chosen list of 20 males and 20 females of fellow students. As usua this type of experiment, especially with humans, not all of the chosen participate which results in an unequal number of observations within the two genders. You have planned to compare the means of th two group and plan to use an independent two sample t test to evaluate whether the means of the two genders differ. Some useful information that was collected is presented in the following table. Please fil the missing information that is indicated by a box. GENDER FEMALE MALE Difference Females and Males 2 o00.3014 -0.7608 0.1581 o.3 Std Err Mean 95% CL Mean Std Dev 10.2LO! 98.3288 97.8762 98.7814 0.6327 12 D.L3 98.6302 98.3812 98.8792 0.3919 =e0.3oit-o.ogo)2 -o.3ol4-1 0.163 td Err, Sta Solduy-E(x-)2 03220.200 1&2-0 0 59 12 evaluate this assumption is the folded F. As before, complete the following table by inserting the values that are indicated by a bold box. B. One of the assumptions underlying the independent two sample test is that the variances are equal. One method to Method Num DF Den DF F Value Pr>F 0.1370 Folded F

Explanation / Answer

Variance of Female = square of std Dev = ( 0.6327)^2 = 0.400

Variance of Male = square of std Dev = ( 0.3919)^2 = 0.1536

And Variance of difference Females and Males = square of std Dev = ( 0.1182)^2 = 0.01400

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