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Statistics
Assessing Normality Assignment
1. A population is rejected as being approximately normal if the sample contains an , if the sample contains a large degree of , or if the sample has more than one distinct .
2. The table below contains data on the heights of a random sample of adult US males. Construct a normal quantile plot using your calculator, and make a rough sketch of the normal quantile plot. State whether or not the data came from a population that is normally distributed. Explain.
Heights (in)
69.5
65.9
64.3
70.5
67.7
61.8
69.0
67.3
64.0
66.7
3. The table below contains data on snowfall in a certain city in a random sample of years. Construct a boxplot using your calculator, and make a rough sketch of the boxplot. State whether or not the data came from a population that is normally distributed. Explain.
Snowfall (in)
6.9
8.6
7.2
1.6
5.8
13.2
1.4
18.3
0.1
2.6
2.9
0.4
4. The number of defective items produced on an assembly line during an hour is counted for a random sample of 20 hours. Construct a stem-and-leaf plot, and state whether or not the data came from a population that is normally distributed. Explain.
Number Defective
9.9
11.3
7.8
11.4
10.8
9.0
8.4
10.1
9.6
8.2
8.9
10.5
9.1
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