Question

11. What is the null hypothesis for a t-test for two independent groups? a. If mul and mu2 are the population means of the two groups, then the null hypothesis is Ho: mul-mu2=0. b. If sl and s2 are the population standard deviations of the two groups, then the null hypothesis is Ho: sl-s2=0. 12. Differentiate between a data set that should be analyzed using a paired t-test from a data set that should be analyzed using a t-test for two groups. a. In a paired t-test there are two commensurate measurements from each experimental subject. A t-test for two groups involves data from two separate groups of experimental subjects. b. In a paired t-test there are two separate groups of experimental subjects. A t-test for two groups involves two commensurate measurements from the experimental subject. 13. When you conduct a test using an F-distribution, what information do you need for obtaining the critical value of the test statistic? a. Alpha value, Between group degrees of freedom (k-1), and the within group degrees of freedom (N-k). b. Alpha value, and the sample degrees of freedom. 14. Why conduct an ANOVA for six treatment groups instead of just using Students t-tests to compare each group to every other group? a. Multiple t-tests would result in the probability of more than one Type II errors. ANOVA overcomes this problem by allowing a single test of hypothesis with one Type I error probability. b. Multiple t-tests would result in the probability of more than one Type I errors. ANOVA overcomes this problem by allowing a single test of hypothesis with one Type I error probability. 15. An agricultural scientist was evaluating four varieties of oranges. She randomly selected fifteen oranges of each variety and measured the juice content of each orange. She is interested in whether or not there are differences in juice content among the four varieties. What analysis would you recommend? a. A t-test is appropriate. b. One-factor ANOVA is appropriate. 16. Sugar content was measured in five varieties of apples: Macintosh, Granny Smith, Red Delicious, Fuji, and Red Rome. Fifteen apples were randomly selected from each variety and the fructose content per gram of fruit was measured for each apple. What analysis would you recommend to test for differences in sugar content among the apple varieties? a. Independent t-tests b. One-factor ANOVA 17 Dia ti d fotowolta Loob lad toon to boor

Answer 1

# for two independent (2 nulllyypu tot test groups. (a) If mu, and my one popun meuns of two groups, then the nul hype is Hoi my, - muz=0. 12 In pairedt test. Ansig in a paired to test there are two Commesurate measurements from each expt. subi A t-test for two groups involves datu thon two separate groups of expt. Subjects 13) critical value of the testsbutitnc. a.) Alpha value, bet groupdf. (K-1) and wimin group of (N-17. (b) multiple t-tests would result in me prob. of more than one type I errors "ANOVA overcomes thirpooblem by allowing 1 single test of hyp. withone Type I error probabiliky.

four varieties means, pore than two means Mail, - es 2 = 4 g = 14 i. we use ANOVA Ans: b. one-factor Anora is appropriate ( kb.one Facter ANOVA.