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During the 2010's, the average number of customers per day at the UConn Dairy Bar who chose the senior scoop flavor was normally distributed with

  • During the 2010's, the average number of customers per day at the UConn Dairy Bar who chose the senior scoop flavor was normally distributed with a mean of 300 and a standard deviation of 100. Before committing to a new senior scoop (chocolate marshmallow swirl), the Dairy Bar decides to test it out. They randomly select 9 days during the year where they offer the new flavor and find that on those days the average number of customers choosing the test senior scoop is 360. Use hypothesis testing to decide whether the number of customers choosing chocolate marshmallow swirl per day is statistically different from the average number of customers choosing previous senior scoops in the 2010s.
  • State the null and alternate hypotheses
  • Calculate the appropriate test statistic (z)
  • Find the critical value(s) for the test statistic, using a = .05
  • What decision would you make about the hypothesis test?

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