1. A large hotel purchased 200 new color televisions several months ago: 80 of o
ID: 3313788 • Letter: 1
Question
1. A large hotel purchased 200 new color televisions several months ago: 80 of one brand and 60 of each of two other brands. Records were kept for each set as to how many service calls were required, resulting in the table that follows. TV Brand Toshiba 15 Total Number of Service Calls 18 12 30 60 None One 97 62 200 30 10 80 Assume the TV sets are random samples of their brands. With 5% risk of Type 1 error, test for Two or more Total 60 an association between TV brand and the number of service calls. Is the 2 value significant at 5% level of significant? Write the conclusion for this question. 2. A regression model relating x, number of sales persons at a branch office, to y, annual sales at the office ($1,000s), has been developed. The computer output from a regression analysis of the data follows. The regression equation is: P = 80.0 + 50.0x Coef 80.0 50.0 Predictor 1.333 5.482 7.06 9.12 Analysis of Variance SOURCE DF MS 6828.6 82.1 6828.6 Error Total a) Write the estimated regression equation b) How many branch offices were involved in the study? c) Compute the F statistic and test the significance of the relationship at a.05 level of significance. d) Predict the annual sales at the Memphis branch office. This branch has 12 sales persons. e) Test the null B,-0 against the B,>0 (alpha- 0.05) 29 9127.4Explanation / Answer
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2) a) Y = 80 + 50 * X
b) Number = 29 + 1 = 30
c)
F = 6828.6/82.1 = 83.17
F critical = 5.61
Null rejected. Model is significant
d) X = 12
Y = 80 + 50 * 12
Y = 680
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