Data on the estimated average price for a variety of different brands of tuna, based on prices paid nationally in superm

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Data On The Estimated Average Price For A Variety Of Different Brands Of Tuna Based On Prices Paid Nationally In Superm 1 (70.11 KiB) Viewed 56 times

Data on the estimated average price for a variety of different brands of tuna, based on prices paid nationally in supermarkets, are shown in the following table. Use the MINITAB printout to answer the questions in parts (a)-(c). (Use the exact values found in the MINITAB output.) Light Tuna Light Tuna in Water in Oil 0.97 0.51 2.58 0.60 1.90 1.43 1.90 0.68 1.21 1.10 1.28 0.60 0.83 0.65 1.81 0.67 0.63 0.65 1.25 0.62 0.67 0.58 0.69 0.58 0.68 Two-Sample T-Test and CI: Light Water, Light Oil Descriptive Statistics Sample N Mean St Dev SE Mean Light Water 14 0.885 0.400 0.11 Light Oil 11 1.153 0.680 0.20 Estimation for Difference Difference Pooled St Dev 95% CI for difference (-0.718, 0.182) -0.268 0.540 Test Null hypothesis Alternative hypothesis Ho: Mi - H2 = 0 Fii A. - H, + 0 P-Value 0.231 DF T-Value -1.23 23
(a) Do the data in the table present sufficient evidence to indicate a difference in the average prices of light tuna in water versus oil? Test using a = 0.05. State the null and alternative hypotheses. OHO: (41 - H2) = 0 versus Hg: (41 - H2) = 0 OHO: (H1 - H2) = 0 versus H: (41 - ") < 0 OHO: (41 - 42) # O versus Ha: (41 – 2) = 0 Ho: (- M2) = 0 versus H: (M1 - Wy) > 0 O Ho: (1 - ) < 0 versus H: (M1 - 42) > 0 State the test statistic. State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three places.) State the conclusion. O Ho is not rejected. There is insufficient evidence to conclude that there is a difference in the average prices of light tuna in water versus oil. O Ho is not rejected. There is sufficient evidence to conclude that there is a difference in the average prices of light tuna in water versus oil. OH, is rejected. There is insufficient evidence to conclude that there is a difference in the average prices of light tuna in water versus oil. OH, is rejected. There is sufficient evidence to conclude that there is difference in the average prices of light tuna in water versus oil. (b) What is the p-value for the test? p-value = (c) The MINITAB analysis uses the pooled estimate of o?. Is the assumption of equal variances reasonable? Why or why not? (Round your answer to three decimal places.) The ratio of the larger of the two sample variances to the smaller is which is --Select-than 3, so the assumption of equal variances ---Select--- reasonable.