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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Agriculture: Bell Peppers The following data represent soil water content (percent water by volume) for independent random samples of soil taken from two experimental fields growing bell peppers
|
Soil water content from field I:Â x1; n1Â 72 |
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|
15.1 |
11.2 |
10.3 |
10.8 |
16.6 |
8.3 |
9.1 |
12.3 |
9.1 |
14.3 |
|
10.7 |
16.1 |
10.2 |
15.2 |
8.9 |
9.5 |
9.6 |
11.3 |
14.0 |
11.3 |
|
15.6 |
11.2 |
13.8 |
9.0 |
8.4 |
8.2 |
12.0 |
13.9 |
11.6 |
16.0 |
|
9.6 |
11.4 |
8.4 |
8.0 |
14.1 |
10.9 |
13.2 |
13.8 |
14.6 |
10.2 |
|
11.5 |
13.1 |
14.7 |
12.5 |
10.2 |
11.8 |
11.0 |
12.7 |
10.3 |
10.8 |
|
11.0 |
12.6 |
10.8 |
9.6 |
11.5 |
10.6 |
11.7 |
10.1 |
9.7 |
9.7 |
|
11.2 |
9.8 |
10.3 |
11.9 |
9.7 |
11.3 |
10.4 |
12.0 |
11.0 |
10.7 |
|
8.8 |
11.1 |
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 |
 |
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Â
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Soil water content from field II:Â x2; n2Â 80 |
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|
12.1 |
10.2 |
13.6 |
8.1 |
13.5 |
7.8 |
11.8 |
7.7 |
8.1 |
9.2 |
|
14.1 |
8.9 |
13.9 |
7.5 |
12.6 |
7.3 |
14.9 |
12.2 |
7.6 |
8.9 |
|
13.9 |
8.4 |
13.4 |
7.1 |
12.4 |
7.6 |
9.9 |
26.0 |
7.3 |
7.4 |
|
14.3 |
8.4 |
13.2 |
7.3 |
11.3 |
7.5 |
9.7 |
12.3 |
6.9 |
7.6 |
|
13.8 |
7.5 |
13.3 |
8.0 |
11.3 |
6.8 |
7.4 |
11.7 |
11.8 |
7.7 |
|
12.6 |
7.7 |
13.2 |
13.9 |
10.4 |
12.8 |
7.6 |
10.7 |
10.7 |
10.9 |
|
12.5 |
11.3 |
10.7 |
13.2 |
8.9 |
12.9 |
7.7 |
9.7 |
9.7 |
11.4 |
|
11.9 |
13.4 |
9.2 |
13.4 |
8.8 |
11.9 |
7.1 |
8.5 |
14.0 |
14.2 |
(a) Use a calculator with mean and standard deviation keys to verify that
, and s2≈ 3.03.
(b) Let μ1 be the population mean for x1and let μ2be the population mean for x2. Find a 95% confidence interval for μ1- μ2.
(c) Interpretation Explain what the confidence interval means in the context of this problem. Does the interval consist of numbers that are all positive? All negative? of different signs? At the 95% level of confidence, is the population mean soil water content of the first field higher than that of the second field?
(d) Which distribution (standard normal or Student’s t) did you use? Why? Do you need information about the soil water content distributions?
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