Q1. The ANOVA output from a randomized complete block experiment is shown below.

Source	DF	SS	MS	F	Accept/Reject
Treatment	4	1010.56	?	29.84	?
Block	?	?	64.765	?	?
Error	20	169.33	?
Total	29	1503.71

(a) Fill in the blanks

(b) How many blocks were used in the experiments?

(c) What conclusions can you draw?

Q2. A consumer products company relies on direct mail marketing pieces as a major component of its advertising campaigns. The company has three different designs for a new brochure and wants to evaluate their effectiveness, as there are substantial differences in costs between the three designs. The company decides to test the three designs by mailing 5000 samples of each to potential customers in four different regions of the country. Since there are known regional differences in the customer base, regions are considered as blocks. The number of responses to each mailing is as follows.

Design	NE	NW	SE	SW
1	250	350	19	375
2	400	525	390	580
3	275	340	200	310

(a) Analyze the data from the experiment in Excel.

(b) Use the Fisher LSD method to make comparisons among the three designs to determine specifically which designs differ in the mean response rate.

(c)What conclusions can you draw?

Q3. The following output was obtained from a computer program that performed a two-factor ANOVA on a factorial experiment.

Source	Df	SS	MS	F	Accept/Reject
A	1	.322	?	?	?
B	?	80.554	40.2771	4.59	?
Interaction	?	?	?	?	?
Error	12	105.327	8.7773
total	17	231.551

(a) Fill in the blanks in the ANOVA table.

(b) How many levels were used for factor B?

(c) How many replicates of the experiment were performed?

(d) What conclusions would you draw about this experiment?

Q4. An article in Industrial Quality Control describes an experiment to investigate the effect of the type of glass and the type of phosphor on the brightness of a television tube. The response variable is the current necessary (in microamps) to obtain a specified brightness level. The data are as follows:

Phosphor type

Glass Type	1	2	3
1	280	300	290
290	310	285
285	295	290
2	230	260	220
235	240	225
240	235	230

(a) Analyze the data in Excel. Is there any indication that either factor influences brightness? Use alpha=0.05.

(b) Do the two factors interact? Use alpha=0.05.

(c) What conclusions would you draw about this experiment?