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Statistical Inference 3

Statistical Inference 3

Use the Mall Time Interview Results file, linked in the Resources under the Required Resources heading, to complete the calculations for this scenario.

Practical Application Scenario

As the food court manager at the Mall of Elbonia, you want to determine how much time customers spend at the mall at different times of the week (for example: midweek, day; midweek, evening; weekend, day; weekend, evening). Last week, the mall survey staff administered a random survey to mall visitors by selecting customers as they were leaving the mall. One of the questions asked was how much time the customer had spent in the mall on that day.

The findings from this study are provided in the Mall Time Interview Results file. In this file, Columns A through D show the time spent by the customers interviewed, according to the weekday and time of day when the interviews occurred.

Is there any statistically significant difference (at alpha = .05) in the average amount of time people spent in the mall, based on the weekday and time? To determine the answer to that question, you need to complete the following:

  • Identify the null and alternative hypotheses you should form for this test. State each as a written explanation and as a math equation.
  • Identify the appropriate statistical test you should use to accept or reject the null hypothesis.
  • Calculate the appropriate ANOVA values to accept or reject your null and alternative hypotheses.

What should you tell the operators of the Mall of Elbonia’s food court stores (in terms of the mall’s high-traffic times and customer tendencies)? Summarize your statistical analysis in a report for management.

Additional Requirements

Compile your work and report in a 1–2 page Microsoft Word file:

  • Paste in the tables you used to make your calculations.
  • Clearly title your tables, including each row and column.
  • Highlight the results of your data calculations within each table.

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