Assignment:
Q1. Samples of efficiency ratings of employees at Allied Chemicals in plant number 1 and plant number 2 are:
Plant no. l Plant no. 2
160 163
158 161
162 160
161 162
160 163
160 162
161 164
159 163
159 165
160 162
159
160
At the .02 level test is there a difference in the mean(s) of the employees. Show megastat table
Q2. Coppersfield, a nationwide advertising firm, wants to know if the size of an advertisement and the color of the advertisement make a difference in the response of magazine readers. A random sample of readers are shown ads of four different colors and three different sizes. Each reader is asked to give the particular combination of size and color a rating between 1 and 10. The rating for each combination is shown in the following table (for example, the rating for a small, red ad is 2).
Color of ad
Size of ad Red Blue Orange Green
Small 2 3 3 8
Medium 3 5 6 7
Large 6 7 8 8
Is there a difference in the effectiveness of an advertisement by color and by size? Show megastat table
Q3. Sabin Motorcycle Works plans to develop a brochure for its new revolutionary X2B cycle. One of the facets to be explored and reported on is the speed-mileage question: Is there a linear relationship between the cycle's speed and miles per gallon? Tests on their track revealed the following:
Constant speed
(miles per hour) Miles per gallon
X Y X Y
40 54
30 60
70 37
50 46
60 48
Is there a linear relationship between the cycle's speed and miles per gallon? Compute the coefficient of correlation and evaluate its strength
Q4. The University of Winston has five scholarships available for the women's basketball team. The coach provided two scouts with the names of 10 high school players with potential. Each scout attended at least three of their games and then ranked the players with respect to potential.
Rank by scout
Player Jean Cann John Cannelli
Cora Jean Seiple 7 5
Bette Jones 2 4
Jeannie Black 10 10
Norma Tidwell 1 3
Kathy Marchal 6 6
Candy Jenkins 3 1
Rita Rosinski 5 7
Anita Lockes 4 2
Brenda Towne 8 9
Denise Ober 9 8
a. Determine Spearman's rank correlation coefficient Show in Megastat table using SPEARMAN's rank correlation
b. Evaluate the benefit of having the two scouts rank the player's potential- Show megastat table