Questions: A student compared organic food prices at Grocery 1 and Grocery 2. The same items were priced at each store. The first three items are shown in the accompanying Figure A. Choose the correct accompanying output ( B or C ) for the appropriate test, explaining why you chose that output. Then test the hypothesis that the population means are not equal using a significance level of 0.05. Assume that all necessary conditions for carrying out a hypothesis test hold. Figure A and Outputs (Figure A) Food Grocery 1 Grocery 2 Bananas/1 lb 0.89 0.89 Grape tomatoes/1 lb 4.39 4.09 Russet potato/5 lb 4.49 4.89 (Figure B) Paired T-Test and CI: Grocery N Mean StDev SE Mean Grocery 1 39 3.01 1.34 0.21 Grocery 2 39 3.13 1.38 0.22 Difference 39 -0.12 1.32 0.21 95% CI for difference: (-0.548, 0.308) T-Test of mean difference = 0 (vs ≠): T-Value = -0.57 P-value = 0.574 (Figure C) Two-sample T-Test and CI: Grocery 1, Grocery 2 N Mean StDev SE Mean Grocery 1 39 3.01 1.34 0.21 Grocery 2 39 3.13 1.38 0.22

Transcript text: A student compared organic food prices at Grocery 1 and Grocery 2. The same items were priced at each store. The first three items are shown in the accompanying Figure A. Choose the correct accompanying output ( B or C ) for the appropriate test, explaining why you chose that output. Then test the hypothesis that the population means are not equal using a significance level of 0.05. Assume that all necessary conditions for carrying out a hypothesis test hold. Figure A and Outputs \begin{tabular}{|lll|} \hline (Figure A) & & \\ \hline Food & Grocery 1 & Grocery 2 \\ Bananas/1 lb & 0.89 & 0.89 \\ Grape tomatoes/1 lb & 4.39 & 4.09 \\ Russet potato/5 lb & 4.49 & 4.89 \\ \hline \end{tabular} (Figure B) \begin{tabular}{|lrrrr|} \multicolumn{5}{c|}{ Paired T-Test and Cl: Grocery } \\ \hline & N & Mean & StDev & SE Mean \\ Grocery 1 & 39 & 3.01 & 1.34 & 0.21 \\ Grocery 2 & 39 & 3.13 & 1.38 & 0.22 \\ Difference & 39 & -0.12 & 1.32 & 0.21 \\ \hline \end{tabular} 95\% Cl for difference: ( $-0.548,0.308$ ) T -Test of mean difference $=0($ vs $\neq): T$-Value $=-0.57 \quad$ P-value $=0.574$ (Figure C) Two-sample T-Test and Cl: Grocery 1, Grocery 2 \begin{tabular}{|lrrrr|} \hline & N & Mean & StDev & SE Mean \\ Grocery 1 & 39 & 3.01 & 1.34 & 0.21 \\ Grocery 2 & 39 & 3.13 & 1.38 & 0.22 \\ \hline \end{tabular}