During the COVID-19 pandemic, drive-up grocery delivery became very popular with customers. Two US retailers that provide this service are Target and Walmart. Many shoppers prefer to order from only one store to save time, but they wonder if they are spending more money shopping at one store rather than both. The data file Snacks has the prices for 20 identical snack items sold at both retailers in Mankato, Minnesota. Assume that µd is the mean difference (Target - Walmart) in the price of the items. Using α = .05, determine whether or not the price of these grocery items differed significantly. Perform your analysis using MegaStat. Download: Snacks a. What type of analysis should you use to analyze this data? Explain the reason for your choice. b. State the hypotheses for this analysis. c. Calculate the degrees of freedom for this analysis.
During the COVID-19 pandemic, drive-up grocery delivery became very popular with customers. Two US retailers that provide this service are Target and Walmart. Many shoppers prefer to order from only one store to save time, but they wonder if they are spending more money shopping at one store rather than both. The data file Snacks has the prices for 20 identical snack items sold at both retailers in Mankato, Minnesota. Assume that µd is the mean difference (Target - Walmart) in the price of the items. Using α = .05, determine whether or not the price of these grocery items differed significantly. Perform your analysis using MegaStat.
Download: Snacks
a. What type of analysis should you use to analyze this data? Explain the reason for your choice.
b. State the hypotheses for this analysis.
c. Calculate the degrees of freedom for this analysis.
d. State the Decision Rule for this analysis.
e. Perform the analysis and identify the mean price of the Target items, the mean price of the Walmart items, and the mean difference between the two stores.
f. State the test statistic and the p-value for your analysis.
g. State the lower- and upper-limits of the 95% confidence interval.
h. Based on your analysis, are the prices of the breakfast food items purchased from Target and Walmart significantly different at the 0.05 level? Explain your answer using the decision rule, test statistic, p- value, and confidence interval
Observation | Snack Item | Target's Price | Walmart's Price |
1 | Angie's Boomchickapop Sea Salt Popcorn-- 4.8 oz | $ 3.29 | $ 3.00 |
2 | Lays Kettle Cooked Original Potato Chips--8 oz | $ 3.69 | $ 3.48 |
3 | Lays Smooth Ranch Dip--15 oz | $ 4.79 | $ 4.48 |
4 | Oreo Double Stuf Chocolate Sandwich Cookies--20 oz | $ 3.79 | $ 3.67 |
5 | Kind Dark Chocolate Nuts & Sea Salt--12 ct/1.4 oz | $ 13.49 | $ 12.68 |
6 | Cheez-It Original Baked Snack Crackers--21 oz | $ 4.99 | $ 4.78 |
7 | Cheetos Flamin' Hot Cheese Flavored Snack--8.5 oz | $ 3.99 | $ 3.48 |
8 | Mission Tortilla Strips--13 oz | $ 2.99 | $ 2.44 |
9 | Tostitos Chunky Salsa Medium--15.5 oz | $ 3.79 | $ 3.48 |
10 | Wholly Guacamole Classic Mini Bowls--2 oz/6 ct | $ 4.99 | $ 4.98 |
11 | Tostios Salsa Con Queso Medium--15 oz | $ 4.79 | $ 4.48 |
12 | Rold Gold Savory Butter Pretzel Twists--16 oz | $ 4.79 | $ 4.48 |
13 | Planters Deluxe Lightly Salted Mixed Nuts--15.25 oz | $ 10.29 | $ 9.46 |
14 | Jack Link's Teriyaki Beef Jerky--5.85 oz | $ 9.99 | $ 7.98 |
15 | Sargento Colby Jack String Cheese--12 ct | $ 3.89 | $ 3.68 |
16 | Red Bull Energy Drink--4 pk/8.4 fl oz cans | $ 6.59 | $ 6.24 |
17 | Mountain Dew Citrus Soda--24 pk/12 fl oz | $ 10.39 | $ 8.78 |
18 | Gatorade Lemon Lime Sports Drink--12 pk/ 12 fl oz | $ 6.69 | $ 6.48 |
19 | Sargento Balanced Breaks Ritz--4.5 oz/3 ct | $ 3.69 | $ 3.32 |
20 | Nestle Drumstick Vanilla Ice Cream Cone--8 ct | $ 7.19 | $ 6.97 |
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