It is believed that the number of drivers who are ticketed for speeding on a particular stretch of highway is a Poisson distribution with a mean of 3.5 per hour. A random sample of 100 hours is selected with the following results:
X Frequency
0 5
1 10
2 20
3 18
4 20
5 15
6 4
7 6
8 1
9 2
100
Given this information, and without regard to whether there is a need to combine cells due to expected cell frequencies, the critical value for testing whether the distribution is Poisson with a mean of 3.5 per hour at an alpha level of .05 is x2 = 15.5073.
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Q. 2A dependent variable is the variable that we wish to predict or explain in a regression model.
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Q. 3The difference between a scatter plot and a scatter diagram is that the scatter plot has the independent variable on the x-axis while the independent variable is on the Y-axis in a scatter diagram.
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Q. 4The scatter plot is a two dimensional graph that is used to graphically represent the relationship between two variables.
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Q. 5A business with 5 copy machines keeps track of how many copy machines need service on a given day. It believes this is binomially distributed with a probability of p = 0.2 of each machine needing service on any given day.
It has collected the following based on a random sample of 100 days.
X Frequency
0 28
1 38
2 22
3 7
4 or 5 5
Total 100
Given this information, assuming that all expected values are sufficiently large to use the classes as shown above, the critical value for testing the hypothesis will be based on 5 degrees of freedom.
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