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The price of 30 random foods were compared between two different superstore chains. The prices for the products are shown in the accompanying data table Complete parts (a) through (c) below Click the icon to view the data table for the prices of the products. a. At the 0.01 level of significance, is there evidence that the mean price of items is higher at store A than at store 87 Let u, be the mean prices at store A and let y be the mean prices for store B. State the null and alternative hypotheses. Choose the corect answer below (where ) OA H₂H H₂O 40 C. H₂:50 (where H1-H₂) ti Hono Find this critical value(s) The critical value(s) mare) 2.70 (Round to two decimal places as needed. Use a comma to separate showers as needed) Determine the test satistic Test Stati001 (Round to two decimal places as needed) Blate your condualon OB H₂H #0 (where H₁: POO OD. Ho: 20 (where #₂) H₂H₂40 Do not r H There is insuficient evidence to conclude that the mean price of the warehouse club purchases is greater than the store-brand purchases b. What assumption is necessary about the population distribution in order to perf OA It must be ned that the deitution of the differences between the prices we On it must be assumed that the distribution of the offerences between the prices is approximately unfam Points: U of

The price of 30 random foods were compared between two different superstore chains. The prices for the products are shown in the accompanying data table. Complete parts (a) through (c) below Click the icon to view the data table for the prices of the products. Determine the test statistic Test Statistic-0.01 (Round to two decimal places as needed.) State your conclusion. Do not reject H. There is insufficient evidence to conclude that the mean price of the warehouse club purchases is greater than the store-brand purchases b. What assumption is necessary about the population distribution in order to perform this seat? A It must be assumed that the distribution of the differences between the prices is skewed OB must be assumed that the distribution of the differences between the peces is approximately uniform c. must be assumed that the distribution of the differences between the prices is approximately normal. e. Find the p-value in (a) and interpret its meaning The test statistic gives a p-value of 0286 ghound to three decimal places as needed) Interpret the meaning of the value in (a) Choose the correct answer below OA The value is the probability of failing to reject the null hypothesis when it is actual fa OB. The p-ve is the probability of obtaining a sample mean difference less extreme than this one if the population mean prices between the referent The value is the probity of obturing a sample mean difference at least as extreme as this one of the population mean prices between the stores are the same

Product Store A 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 229 28 30 3.46 1.38 2.45 3.11 1.99 6.73 13.08 18.28 0.79 9.66 2.95 3.89 3.84 5.04 3.45 1.25 2.96 2.96 2.97 1.42 3.91 1.66 1.35 1.32 1.02 0.89 3.93 2.97 3.64 1.26 Store 2 2.76 1.94 3.11 1.9 4.91 5.19 8.98 16.97 1.48 13.45 2.5 4.07 3.39 4.83 3.79 1.25 2.95 1.92 2.53 1.07 3.65 1.65 1.34 2.27 1.17 1.05 4.04 2.52 1.76 0.88