Question

19. Do orange trees in California produce more oranges than those in Florida? Twenty orange trees were randomly selected in California and another twenty in Florida. Use the SPSS output below to answer questions a-d. Write the correct answer on the line next to the question's number Group Statistics Stale N Mean Std. Deviation Std. Error Mean 7 810 .746 3499 est OrangesPerTree CA 20 98.45 FL 15.649 Levene's Test for Equaity of Variances -Hest for Equality of Means 95% Consdence Interval Sig (2- Mean Std. Error of the DiTerence dftaled) Difference Difference Lower Oranges/Tree Equal variances 7.773 008 1.151 38 257 4.500 3.911 -3417 12.417 Equal variances not 1.151 27 912 260 4.500 3.911 3.512 12.512 assumed a) The correct set of hypotheses corresponding to the SPSS output above is b) The P-value is a. 0.26 c) At the 5% significance level, indicate the correct statement b.0.13. c, 0.008. d, 0.004. е.0.87· f0.996. The null hypothesis can be rejected because the 95% confidence interval contains the zero value and the Ha is double sided. The null hypothesis cannot be rejected because the 95% confidence interval contains the zero value and the Ha is double sided A. B. C. A significance test cannot be performed based on the confidence interval because the D. A significance test can be performed based on the confidence interval because the Ha E. A and D are correct. Ha is one sided. is one sided F. B and D are correct d) The correct conclusion for this study, at the 5% significance level, is A. There is evidence that the population average yield of orange trees in CA is larger than B. C. D. in Florida There is no evidence that the population average yield of orange trees in CA is larger than in Florida. There is evidence that the population average yield of orange trees in CA is different than in Florida There is no evidence that the population average yield of orange trees in CA is different than in Florida

Answer 1

(a) $\small H_0:\mu_{CA-FL}=0\:vs\:H_A:\mu_{CA-FL}>0$

(b)

p-value = 0.13 (b)

(c)

(c) A significance test cannot be performed based on confidence interval because H_A is one-sided.

(d)

(B)There is no evidence that the population average yield of orange trees in CA is larger than in Florida.