Question 1 The effects of sulfone concentration and surface temperature on the mean surface reflectivity are being studied in a 2-factor factorial experiment. The results are shown in the “Surface Condition Dataset 1”. (For this question only use x1 = sulfone concentration, x2 = surface temperature, y = surface reflectivity)

a) Write a complete regression model for this factorial experiment.

b) Do the data present sufficient evidence to indicate an interaction between sulfone concentration and surface temperature (use α = 0.01)?

c) Is it appropriate to conduct tests for main effects? (Use α = 0.01)

d) Generate an ANOVA summary table and an Interaction Plot

Question 2 The effects of sulfone concentration and surface temperature on the mean surface reflectivity are being studied in a 2-factor factorial experiment. The results are shown in the “Surface Condition Dataset 2”. (Suppose x2 = surface temperature, y = surface reflectivity). In each question, when the concentration is 5 grams/liter, highlight (like this) the correct statement. (Use α = 0.01)

The mean surface reflectivity is significantly higher when the x2 = 150 than when x2 = 75

The mean surface reflectivity is significantly lower when the x2 = 150 than when x2 = 75

The mean surface reflectivity when the x2 = 150 does not significantly differ from the mean surface reflectivity when the x2 = 75.

The mean surface reflectivity is significantly higher when the x2 = 125 than when x2 = 175

The mean surface reflectivity is significantly lower when the x2 = 125 than when x2 = 175

The mean surface reflectivity when the x2 = 125 does not significantly differ from the mean surface reflectivity when the x2 = 175.

The mean surface reflectivity is significantly higher when the x2 = 100 than when x2 = 75

The mean surface reflectivity is significantly lower when the x2 = 100 than when x2 = 75

The mean surface reflectivity when the x2 = 100 does not significantly differ from the mean surface reflectivity when the x2 = 75.

Use the table below for Questions 3 through 5

Technician 1	Technician 2	Technician 3	Technician 4
9	14	6	10
12	9	14	12
8	12	10	7
10	10	8	15
11	14	11	11

Question 3 The table above shows the number of mistakes made in 5 successive days for 4 technicians (these are not necessarily the same 5 days for all 4 technicians). Is there sufficient evidence to indicate a difference in the mean number of mistakes by the 4 technicians? (Use α = 0.01)

My work and software outputs start on page

3.a) The regression equation is

3.b) The null hypothesis is

3.c) The rejection region is

3.d) The conclusion is

Question 4 Now suppose the experimenter had instead decided the record the number of mistakes made during the same 5 successive days for the 4 technicians. Is there sufficient evidence to indicate that recording the numbers for the same 5 days for all 4 technicians made a difference? (Use α = 0.01).

My work and software outputs start on page

4.a) The regression equation is

4.b) The null hypothesis is

4.c) My ANOVA Table is on page

4.d) My answer is

Question 5 Referring to Question 4, is there sufficient evidence to indicate a difference in the mean number of mistakes by the 4 technicians? (Use α = 0.01).

My work and software outputs start on page

5.a) The regression equation is

5.b) The null hypothesis is

5.c) My answer is

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Solution: The downloadable solution consists of 13 pages, and 907 words
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