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[solution]: 1. Consider the following linear programming problem. Maximize


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. Below are the data for the number of different word roots that normal children (20 month old) generated when their parents believe they were placed in the most comfortable situation (e.g., after meal, before going to bed, during a bath, etc.). Make (a) a frequency distribution table and (b) a histogram graph to summarize and present the data below. Do NOT use SPSS to complete them. Do them by hands.

            39        88        26        48        31        34        35        31        35        65       

55        57        98        43        75        52        53        79        73        37

52        19        90        31        16        32        55        89        40        43

2. Using the same data set above, present (a) a stem-and-leaf display and (b) a boxplot (specify the five numbers) to organize the data set.

3. Suppose that you replaced three data points (89, 90, 98) as shown above with new data points (200, 225, 250). How do you think will the variance change (e.g., increase or decrease)? What do you think is the reason for this change? (Note: this is a conceptual question and you do not have to calculate the variance. However, you need to offer a clear and specific reason for your answer??they are big numbers? are not acceptable)

4. Suppose that the average number of different word roots generated by girls (, 18 girls) was 62 while the average number of different word roots generated by boys (, 12 boys) was 48. Can we conclude that the average number of different word roots for the entire group is the mean of these two means (62+ then 110/)? Justify your answer.


Below are the data for the number of different word roots that normal children (20 month old)

 

generated when their parents believe they were placed in the most comfortable situation (e.g.,

 

after...

 


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