Question: 1. ) Class sizes were noted for a random sample of classes at 3 levels for a large school district. At =0.01, can it be

1. ) Class sizes were noted for a random sample of classes at 3 levels for a large school district. At =0.01, can it be concluded that there is a difference in the mean class size at the three different levels? If a difference exists, test each pair of means to locate the difference.

Elementary Middle School Secondary School
30 24 20
28 27 18
25 30 24
26 25 20
28 26 23
32 28 24
24 24
29

2.) A recent survey asked adults nationwide if they thought that the federal government should continue to fund Nasa's efforts to send unstaffed missions to Mars. 56% said they should continue, 40% said they should not continue, and 4% had no opinion. A random sample of 200 college students resulted in these numbers:

Should continue: 126

Should not continue: 65

No opinion: 9

Is there sufficient evidence at @(alfa)=0.05 to conclude that the opinions of the college students differ from those of the report?

2. ) Are health and happiness related? The following data represents the level of happiness and level of health for a random sample of individuals from a General Social Survey.

Health
Excellent Good Fair Poor

Happiness

Very Happy 271 261 82 20
Pretty Happy 247 567 231 53
Not too Happy 33 103 92 36

Can you conclude that health and happiness are related? Use @(alfa)=0.05

4.) The times required by 3 workers to perform an assembly -line task were recorded on five randomly selected occasions. Here are the times, to the nearest minute.

Hank Susan Joseph
8 8 10
10 9 9
9 9 10
11 8 11
10 10 9

Are the three means equal for @(alfa)=0.05 ?

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