Quantitative Techniques in Business

DOM101 Quiz 5 will be held on April 21, Thursday, syllabus is sessions 19-23

1. 800 people are surveyed to see if they bought Lux or Cinthol soaps. 204 people say they bought Lux. 320 people say they bought neither Lux nor Cinthol. If it has been proven with 5% significance that Cinthol has a larger proportion of the market than Lux, then calculate the range of values for the number of people who bought Lux but did not buy Cinthol?

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1. When 5 men and 8 women are ranked according to pay, the sum of the men’s ranks is 35. Do men and women get the same pay, with 95% confidence?

Ans: Yes, Men get the same pay as women with 95% confidence

1. There are four markets, North, South, East, West. A product is sold in all the markets. In the North, out of 382 surveyed people, 87 use the product. In the south, 66 out of 235 use the product. In the East, 54 out of 242 use the product. In the West, 102 out of 397 use the product. Find out if the product has the same market share in all four markets, with 90% confidence.

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1. 3 different populations of men are sampled for their height (in cm). The samples are:

Test to see if all 3 populations have the same median with 95% confidence.

Ans: [pic 3]

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1. A clothing store has 5 retail outlets that are being surveyed (Factor A). Each outlet carries three brands (Factor B), and each brand offers 4 items of clothing. The sales for each item are surveyed and subjected to 2-way ANOVA. The F-test at 99% confidence, shows that there is a significant difference in average sales across clothing brands. If the MSE=300, then what is the Sum Squared error across the Clothing Brand factor?

Ans: r=5, c=3, n’=4, F-test for equality fails for clothing brands (Factor B) so (MSB/MSE)> at df=(2,45), from this get MSB, and then SSB=MSB*(c-1)[pic 5]

1. The starting annual salary (rs. Lakh) of 50 university graduates, and the national ranking of the university, is given in the excel sheet titled “DOM101_P5”.

(a) Calculate the slope, y-intercept, coefficient of determination, and standard error.