# EBook Problems ANOVA 1Way

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## EBook Problems Set - One-Way ANOVA

### Problem 1

Jordan was shopping for a ping pong table at Sports Authority, and noticed that there were three tables all similarly priced. He wanted a table that could be taken apart quickly and easily, so he asked the salesman if he knew which one was the best in terms of ease of assembly and disassembly. For some reason, the salesman happened to have a table of the assembly times (sec) for the three tables. Using ANOVA, do you think there is a difference in the average time of assembly for the three brands of ping pong tables?

 Assembly time (sec) Brand 93.0 1 67.0 1 77.0 1 92.0 1 97.0 1 62.0 1 136.0 2 120.0 2 115.0 2 104.0 2 115.0 2 121.0 2 102.0 2 130.0 2 198.0 3 217.0 3 209.0 3 221.0 3 190.0 3
(a) We can say that there is no reason to reject the null that the average assembly times are the same
(b) We should reject the null that the average assembly times are the same

### Problem 2

Using the data in problem 1, what is the value for R-Square?

(a) 0.342
(b) 0.143
(c) 0.832
(d) 0.943

### Problem 3

One a certain section of Scripps Poway Parkway, a radar speed detector is set up. Officer H. Lee is curious to see if two-door vehicles drive faster on average than four-door vehicles. He parks behind a bush so as not to be seen, and records the car type and the speed reading. Here are the results (1 means two-door, and 2 means four-door):

 Speed (MPH) Vehicle Type 45 2 45 2 40 2 69 1 72 1 40 1 75 2 19 2 62 1 43 2 75 1 42 2 58 1 58 1 47 2 48 2 49 2 45 2 54 2

At the 1% significance level, should we reject the null hypothesis that that average speed is the same for both types of vehicles?

(a) Yes, we should reject the null hypothesis.
(b) No, we should not reject the null hypothesis.
(c) There is not enough information.

### Problem 4

Using the same data as in problem 3, what is the value for R-Square?

(a) 0.432
(b) 0.983
(c) 0.308
(d) 0.231