In a 2-tail nonparametric sign test, results showed that in a sample of 15 taste

Question

In a 2-tail nonparametric sign test, results showed that in a sample of 15 tasters, 11 preferred Brand x orange juice and 4 preferred Brand Y. Determine the p-value for this result. If a null hypothesis is rejected based on a99% confidence interval, it: a. Will always be rejected at 95% confidence. b. Will sometimes be rejected at 95% confidence. c. Will always be accepted at 95% confidence. d. None of the above In regression and correlation analysis, if r^2 = 1, then:: a. SSE = SST b. SSR = 0 c. SSR = SSE d. SSR = SST Using a base year of 2005, the price relative for the housing sector in 2010 was determined to be 130. The interpretation of this price relative is that: a. Housing prices have increased an average of $13,000 from 2005 to 2010 b. Housing prices have increased 130% from 2005 to 2010 c. Housing prices have increased 30% from 2005 to 2010 d. More data is needed to provide an interpretation. In an ANOVA problem which has 3 treatments and 10 observations treatment with SSE = 299.6, the value of MSE is: a. 14.8 b. 13.32 c. 11.1 d. 133.2

Explanation / Answer

Q.7 Here 15 are the number of trials and 4 is the success. We can take it as a binomial experiment.

Pr (p <=4 ; 15; 0.5) = we can calculate this probabilty by binomial distribution.

Pr (p <=4 ; 15; 0.5) = 0.059

Q.8 Will always be rejected at 95 % confidence. Option A is correct.

Q.9 if r2 = 1

then SSR = SST and SSE = 0 so Option D is correct.

Q.10 Option C is correct.

Q.11 MSE = SSE/ dFerror = 299.6/ 27 = 11.1 (option c is correct)

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