Paired T Test :

1. A physical fitness centre claims that course will result in weight loss. Nine persons selected at random were put through this weight loss programme and their weights before and after the programme were recorded . we want to test the claim made by the fitness centre at .05 level

Before145200160185195200164176190

After143190167188190195176167165

2. The randomly selected veterans were given a workshop designed to influence participant tolerance levels by subjecting them to criticism of their own attitudes . The before and after tolerance scores are presented below

Student number Before After

0143

0244

0346

0457

0556

0664

0766

0879

0977

1078

are tolerance scores for this group at the end of the workshop different from what they were at the beginning ?Case study

A company was wondering which style of pepperoni pizza was most popular. It set up an experiment where ten people were each given two types of pizza to eat, Type A and Type B. Each pizza was carefully weighed at exactly 16 oz. After fifteen minutes, the remainders of the pizza were weighed, and the amount of each type pizza remaining per person was calculated. It is assumed that the subject would eat more of the type of pizza he or she preferred. Here are the data:

SubjectPizza APizza B

112.9oz16oz

25.77.5

31616

414.315.7

52.413.2

61.65.4

714.615.5

810.211.3

94.315.4

106.610.6

T Test (Independent samples)Two different types of drugs A and B were tried on certain patients for increasing weight six persons were given drug A and seven persons were given drug B. The increase in weight in pounds is given below Drug A710131348

Drug B128189899

Do the drugs differ significantly with regard to their effect in increase in weights?Case Study :

Professor Testum wondered if students tended to make better scores on his test depending if the test were taken in the morning or afternoon. From a group of 19 similarly talented students, he randomly selected some to take a test in the morning and some to take it in the afternoon. The scores by groups were:

MorningAfternoon

89.887.3

90.287.6

98.187.3

91.291.8

88.986.4

90.386.4

99.293.1

94.089.2

88.790.1

83.9

ANOVA Problem :

This problem relates to the taste / quality of food dishes served to twenty-eight customers in the TAJ GROUP Hotel Chain. The customers, who are basically from the higher income group (HIG), were asked to give their opinion about the quality / taste of the four common non-vegetarian dishes served to them. The analysis of the problem gives us the variance between the dependent variable (rating) and the independent variables (non-vegetarian dish).

The following four common dishes served at the above hotel chains restaurant are coded as follows :

CODE

DISH NAME

1 CHICKEN PLATTER

2 HONEY CHICKEN

3 CHICKEN SPINACH

4 TANDOORI CHICKEN

In this problem we have considered four different non-vegetarian dishes that are being offered by TAJ GROUP Hotel Chain. The Hotel group wants to test, which of the above mentioned non-vegetarian dishes is being preferred by their target customers, that is, the HIG customers. At random these twenty-eight respondents are asked for their preference on the scale of 10 (1 = not liked at all, and 10 = most preferred dish) and these data have been tabulated.

Input

Dish Code is tabulated in the second column of the input data table, and the ratings given by the customer are tabulated in the third column. Here, the dependent variable is the rating given by the randomly chosen customer and independent variable is the dish code.

Input Data Table for Problem 1

S. No. Dish Type Rating

116.00

217.00

318.00

415.00

519.00

618.00

717.00

828.00

928.00

1029.00

1128.00

1227.00

1329.00

1428.00

1537.00

1636.00

1736.00

1835.00

1937.00

2037.00

2135.00

2246.00

2346.00

2447.00

2546.00

2648.00

2747.00

2846.00

Correlation and Regression :Monsanto inc., a biotech major, specializing in the development of genetically modified seeds wanted to know the degree to which yield of wheat per hectare is influenced by the variety of seeds used for a crop, and a few other variables.

Hence, it deputed an employee in its Bangalore H.O., to conduct a market research to study the effect that six different conditions (independent variables) have on the yield per hectare (dependent variable) for a crop of wheat. The research was conducted by accumulating the data from fifteen major states in India.

The six independent variables are :

X1 Rainfall (in cms).

X2 Soil type (1 low quality, 5 high quality of soil suitable for wheat)

X3 Quantity of fertilizer (in quintal / sq. kilometer of land)

X4 Percentage of land being irrigated by state agriculture department

X5 Seed quality (1 = low, 5 = high level of Genetically modified quality)

X6 Percentage of automation in cultivation process

The dependent variable is :

Y Yield per hectare (in quintals)

Input Data

The data set for yield of crop in fifteen states is given in tabular form.

Input Data Table

S.No. Statecod Yield RainfallSoiltype Fertilizer ArearirrgSeedtype Automate

1140233878245

2230121347126

3342283982239

4435152551225

5544303480335

6648314786340

77553751090442

8834152550225

9928641442121

101060445992552

111135162749225

121248301482238

131329651341120

141446303880336

151558424889449