I would like to know how to answer this questions. Please provide explanations.

Question

I would like to know how to answer this questions. Please provide explanations.

In a factorial design with Factors: Material and Speed, What of the following statements represent the degrees of freedom to test the effect of factor Speed on the response variable at 5% level of significance. One unit less than the number of levels of the factor Material The degrees of freedom of the interaction effect minus one One unit less than the total number of observations None of the above To test the tire tread loss for four different brands of tires, researches used six different cars. The results of the experiment are shown in the ANOVA table below. Based on the table, what of the following conclusion is true? Reject H_o for Tire Brands and conclude that there is a significant block factor effect. The conclusion about the Tire Brands is not a valid conclusion because blocking was not necessary Reject H_o for Tire Brands because the p-value is lees than any level of significance and conclude that it is a significant effect of the factor Tire Brands and that this conclusion is a valid conclusion. None of the above is true A study was conducted to determine the treatment that reduces blood pressure the most: Medication, Diet or Exercises. Fifteen patients at a hospital are randomly assigned to each treatment group. Use a 1% level of significance to determine the critical value for this test. 3.80 6.93 6.51 None of the above

Explanation / Answer

ANSWERS:

2) (C)

EXPLANATION: Here the value of p = 0.0001<0.05 or 0.01

Hence it is significant

i.e. all the tire brands are not equally effective

3) (B)

EXPLANATION: Here there are three treatment a = 3

n = 15

here we use the ANOVA TEST (F TEST) (one-way classification)

At 0.01 level with (a-1, N-a) = 3-1,15-3 = 2,12 degrees of freedom, the critical value of F is 6.9266

Fcritical = 6.93 at 0.01 level

1) (D)

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