1. A regional transit authority is concerned about the number of riders on one of its bus routes. In setting up the route, the assumption is that the number of riders is the same on every day from Monday through Friday. Using the following data, test with \[\alpha =.05\] to determine whether the transit authority’s assumption is correct. Please use the table for your calculations.

   Day	Number of Riders
   Monday	13
   Tuesday	16
   Wednesday	28
   Thursday	17
   Friday	16

   		\[({{O}_{ij}}-{{E}_{ij}})\]	\[{{({{O}_{ij}}-{{E}_{ij}})}^{2}}\]	\[\frac{{{({{O}_{ij}}-{{E}_{ij}})}^{2}}}{{{E}_{ij}}}\]
   13
   16
   28
   17
   16

2. A random sample of 500 persons is questioned regarding their political affiliation and opinion on a tax reform bill. Test if the political affiliation and their opinion on a tax reform bill are dependent at 1% level of significance.

   	Opinion
   Political Party	Favor	Indifferent	Opposed	Total
   Democrat	138	83	64	285
   Republican	64	67	84	215
   Total	202	150	148	750

   
   If you want, fill in the expected crosstabulation table :

   	Opinion
   Political Party	Favor	Indifferent	Opposed	Total
   Democrat				285
   Republican				215
   Total	202	150	148	500

   And the calculation table:

   Party	Opinion			\[({{O}_{ij}}-{{E}_{ij}})\]	\[{{({{O}_{ij}}-{{E}_{ij}})}^{2}}\]	\[\frac{{{({{O}_{ij}}-{{E}_{ij}})}^{2}}}{{{E}_{ij}}}\]
   Democrat	Favor
   Democrat	Indifferent
   Democrat	Opposed
   Republican	Favor
   Republican	Indifferent
   Republican	Opposed

3. The Leaning Tower of Pisa is an architectural wonder. Engineers concerned

about the tower’s stability have done extensive studies of its increasing tilt.

Measurements of the lean of the tower over time provide much useful

information. The following table gives measurements for the years 1975 to 1987.

The variable "lean" represents the difference between where a point on the tower

would be if the tower were straight and where it actually is. The lean is

measured in meters.

Perform a COMPLETE Regression Analysis (Do the parts in order and BOX your final answer):

1. Draw a scatter plot.
2. Find the sample correlation.
3. Test for correlation at the .05 level.
4. Find the regression equation.
5. Predict how far the tower will lean in 2010. What kind of prediction did you just perform (interpolation or extrapolation)?
6. Find the 95% Prediction Interval for the Lean in 2010.
7. Find the coefficient of determination and interpret it.

4. A researcher conducted a study of two different diets and two different exercise programs. Three randomly selected subjects were assigned to each group for one month. The response is the amount of weight each lost. Complete the ANOVA table and perform the appropriate analyses, including analysis of the interaction plot.

Means

5. Four storage procedures of milk are under study. The index of bacteria count after 60 hours of storage were tabulated. Use \[\alpha =.01\] to test for differences in the storage systems.

Regardless of your answer perform pair-wise comparisons to check for equality between each pair of treatments. The data are shown below:

	A	B	C	D
	3	4	16	5
	6	7	13	6
	4	6	11	8
	3	2	14	7
	1	5	13	3
.	3.4	4.8	13.4	5.8
\[{{s}^{2}}\]	3.3	3.7	3.3	3.7	\[\overline{\overline{x}}=\] 6.85

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Deliverable: Word Document