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Data table Item Store A Store B Milk 2.24 1.33 Dozen eggs 2.33 2.09 Orange juice Head of lettuce 2.01 2.53 1.99 1.34 Ground beef 4.99 3.72 Canned tuna 1.79 1.26 Granny Smith apples Box of linguini 1.67 1.54 1.97 2.09 Salmon steak 7.97 5.92 Chicken 2.22 2.05 Print Done

Data table Item Store A Store B Milk 2.24 1.33 Dozen eggs 2.33 2.09 Orange juice Head of lettuce 2.01 2.53 1.99 1.34 Ground beef 4.99 3.72 Canned tuna 1.79 1.26 Granny Smith apples Box of linguini 1.67 1.54 1.97 2.09 Salmon steak 7.97 5.92 Chicken 2.22 2.05 Print Done

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Data table Item Store A Store B Milk 2.24 1.33 Dozen eggs 2.33 2.09 Orange juice 2.01 2.53 Head of lettuce 1.99 1.34 Ground beef 4.99 3.72 Canned tuna 1.79 1.26 1.54 Granny Smith apples Box of linguini 1.67 1.97 2.09 Salmon steak 7.97 5.92 Chicken 2.22 2.05 Print Done
Transcribed Image Text:Data table Item Store A Store B Milk 2.24 1.33 Dozen eggs 2.33 2.09 Orange juice 2.01 2.53 Head of lettuce 1.99 1.34 Ground beef 4.99 3.72 Canned tuna 1.79 1.26 1.54 Granny Smith apples Box of linguini 1.67 1.97 2.09 Salmon steak 7.97 5.92 Chicken 2.22 2.05 Print Done
The accompanying data table compares the prices of some kitchen staples at two grocery stores, A and B. Complete parts (a) to (d). Click the icon to view the data table. a. At the 0.05 level of significance, is there evidence of a difference in the mean prices between store A and store B? Let µ, be the mean price at store A and u, be the mean price at store B. Determine the null and alternative hypotheses for this test. A. Ho: HD 20 (where µp = H1 - H2) B. Ho: HD #0 (where Hp = H1 - H2) H1: HD <0 H1: HD = 0 C. Ho: HD S0 (where Hp = H1 - H2) D. Ho: HD = 0 (where Hp = H1 - H2) H1: HD >0 H1: HD #0 The test statistic is tsTAT (Round to two decimal places as needed.) The critical value(s) is(are) (Use a comma to separate answers as needed. Round to two decimal places as needed.) Since the test statistic the critical value(s), Ho. There is evidence to conclude that the mean price is different at store A than at store B. b. What assumption is necessary about the population distribution in order to perform this test? A. It must be assumed that the distribution of the differences between the measurements is approximately uniform. B. It must be assumed that the distribution of the differences between the measurements is skewed. C. It must be assumed that the distribution of the differences between the measurements is approximately normal. c. Determine the p-value in (a) and interpret its meaning. The test statistic gives a p-value of (Round to two decimal places as needed.) Interpret the meaning of the p-value in (a). Choose the correct answer below.
Transcribed Image Text:The accompanying data table compares the prices of some kitchen staples at two grocery stores, A and B. Complete parts (a) to (d). Click the icon to view the data table. a. At the 0.05 level of significance, is there evidence of a difference in the mean prices between store A and store B? Let µ, be the mean price at store A and u, be the mean price at store B. Determine the null and alternative hypotheses for this test. A. Ho: HD 20 (where µp = H1 - H2) B. Ho: HD #0 (where Hp = H1 - H2) H1: HD <0 H1: HD = 0 C. Ho: HD S0 (where Hp = H1 - H2) D. Ho: HD = 0 (where Hp = H1 - H2) H1: HD >0 H1: HD #0 The test statistic is tsTAT (Round to two decimal places as needed.) The critical value(s) is(are) (Use a comma to separate answers as needed. Round to two decimal places as needed.) Since the test statistic the critical value(s), Ho. There is evidence to conclude that the mean price is different at store A than at store B. b. What assumption is necessary about the population distribution in order to perform this test? A. It must be assumed that the distribution of the differences between the measurements is approximately uniform. B. It must be assumed that the distribution of the differences between the measurements is skewed. C. It must be assumed that the distribution of the differences between the measurements is approximately normal. c. Determine the p-value in (a) and interpret its meaning. The test statistic gives a p-value of (Round to two decimal places as needed.) Interpret the meaning of the p-value in (a). Choose the correct answer below.
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