Question

Propose a separate research question that would be analyzed using each of following analyses:

1. ANOVA
2. Correlation or Regression
3. Chi-square Goodness of Fit test
4. Chi-square Test if Independence

Answer 1

1. ANOVA

The tensile strength of cement is being studies to compare 4 different technique . the following data is obtained

		Tensile strength
Mixing technique	1	3129	3000	2865	2890
	2	3200	3300	2975	3150
	3	2800	2900	2985	3050
	4	2600	2700	2600	2765

Carry out ANOVA to test the hypothesis that the mixing technique does not affect the tensile strength of cement.

2. Regression

The time required for a shopkeeper to stock a grocery store sold with a soft drink product as well as the number of cases of the product is given below.

Time taken: 10.15, 2.96, 3.00, 6.88, 0.28, 5.06, 9.14, 11.86, 11.69, 6.04, 7.57, 1.74, 9.38, 0 .16, 1.84

No. of cases of product stocked: 25, 6, 8, 17, 2, 13, 23, 30, 28, 14, 19, 4, 24, 1, 5

Fit an SLRM

3. Chi square goodness of fit test

When the first proof of 392 pages of a book of 1200 pages were read, the distribution of printing mistakes were found to be as follows:

No. of mistakes per page	0	1	2	3	4	5	6
No. of pages	275	72	30	7	5	2	1

Fit a Poisson distribution to the above data and test the goodness of fit.

4. Chi Square test if independence

A random sample of students of ABC college was selected and asked their opinion about syllabus. The result is shown below. The same number of each gender was included within each class- group. Test the hypothesis at 1% level of significance that opinion are independent of the class grouping.

Class	Numbers		Total
	Favouring	Opposed
Class A	120	80	200
Class B	130	70	200
Class C	70	30	100
Class D	80	20	100
Total	400	200	600