The table below presents descriptive statistics for two samples of students when

Question

The table below presents descriptive statistics for two samples of students when comparing sleep to mean exam score. Based on these parameters, you would like to determine an appropriate sample size to ensure sensitivity of the analysis.

(a) Which level or setting of sleep duration should be considered as a basis for determining

the study sample size and why?

(b) What derived measure can be used to support your answer? Provide calculations.

Explanation / Answer

We can determine the appropriate sample size using confidence interval and standered deviation.

Suppose we want to know the average score of student. We’d like to be 99% confident about our result. From a previous study, we know that the standard deviation for the population is 3.05.

We use standered deviation 3.05 here because it is variation in data and it good if it is less.

Sample size estimation:

Step 1: Find Za/2 by dividing the confidence interval by two, and looking that area up in the z-table:

0.99/2 = 0.495. the closest Z-score for 0.495 is 2.58

Step 2:Multiply to step one by standered deviation.
2.58*3.05 = 7.869

Step 3: Divide Step 2 by the margin of error. We can use 2 margin of error here.
7.869/2 = 3.9345

Step 4: Square Step 3.
3.9345*3.9345 = 15.4802

Therfore we take N = 16 sample size here

>>>>>>>>>>>>> Best Luck >>>>>>>>>>>>>>>>>>>

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