Anova Testing

ANOVA Testing Paper

In today’s home building market it is important to incorporate all of the structure qualities that make a quality built home. It is important to focus on providing the home building consumer with a large selection of products and a comfortable home atmosphere. One of the largest development companies, Opus South, understands how important it is to place the right product in each quality built home is very important. The folks at Opus look to for the some of the marketing research of consumers is done throughout the involvement and promotions during trade shows, while other market research of consumers is done through mail, phone, internet, and dealerships questionnaires. In all cases, the organization solicits an "intent-to-purchase" score from the consumers, with 0 being the lowest score "no intent to purchase" and 100 being the highest score "full intent to purchase" The following information is of the data collected from 120 consumers that were surveyed from the various sources; trade show, mail, phone, internet, and dealerships with the “intent to purchase”. Survey scores below:

Trade Show By

Mail By Phone By Internet By Dealership

63.0 58.0 61.0 69.0 62.0

68.0 63.0 66.3 64.0 63.2

69.0 61.0 67.2 63.0 68.2

61.0 62.3 61.0 64.3 62.0

67.0 59.8 66.0 59.2 65.0

58.0 56.0 59.0 58.0 58.9

73.7 43.9 73.7 59.4 74.0

61.0 56.3 58.0 64.0 60.4

78.0 70.3 78.0 69.9 77.0

55.3 62.0 55.3 68.0 56.8

80.0 58.5 76.0 56.3 75.9

64.4 58.6 64.4 60.2 66.4

67.0 61.0 65.3 67.1 66.0

68.0 69.0 66.1 63.0 68.4

62.0 53.7 64.1 57.2 61.2

68.0 57.0 67.3 58.5 68.0

69.0 58.0 63.9 58.7 65.8

73.3 58.0 70.0 59.2 75.0

67.0 79.0 65.1 78.0 65.1

53.0 76.0 54.0 76.0 64.0

78.0 59.0 76.9 79.0 76.9

71.0 60.2 64.0 65.3 64.0

68.7 67.0 58.6 67.9 68.1

67.0 61.2 66.0 65.2 66.1

Team “A” will attempt to formulate, using an (F) test with a significance level of .01, if the means for the five different groups equal each other or if the means are not all equal. This is shown in the hypotheses statements below.

Ho: u1 = u2 = u3 =u4 = u5

H1: Not all means are the same.

The null hypothesis would state the means of the 5 different groups "intent to buy" cabinets in the future are equal. The alternate hypothesis would state that not all the means are the same. We express this as:

Step1: Ho: u1 = u2 = u3 =u4 = u5

H1: Not all means are the same.

Step 2: We will use a .01 level of significance.

Step