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Executives at The Walt Disney Company are interested in estimating the mean spending per capita for people who visit Disney World in Orlando, Florida. They

Executives at The Walt Disney Company are interested in estimating the mean spending per capita for people who visit Disney World in Orlando, Florida. They plan to use the Z-distribution but they know it requires that the population be normally distributed. Six hundred customers were randomly surveyed, and the amount spent during their stay at Disney World was recorded. Before using the sample data to estimate the population mean, the managers wish to test at the 0.05significance level to determine whether the population is normally distributed. The data has been organized into the frequency table below.

a.Calculate the expected frequencies if the population is normally distributed. The sample mean is136.3 and the sample standard deviation is25.4.(5points)(Round the expected frequencies to 2 decimal places)

Class

Frequency

Expected Frequencies

Under 50 2
50 up to 70 5
70 up to 90 14
90 up to 110 55
110 up to 130 152
130 up to 150 187
150 up to 170 131
170 up to 190 42
190 up to 210 11
210 and above 1

Click here for the Excel Data File.Data file should open in a new browswer window. Select "File" then "Save As" to download the file to your computer and be able to use it in Excel.

b.Select the correct hypothesis statements.(1 point)

multiple choice 1

  • H0: The distribution is not uniform; H1: The distribution is uniform
  • H0: The distribution is not normal; H1: The distribution is normal
  • H0: The distribution is normal; H1: The distribution is not normal
  • H0: The distribution is uniform; H1: The distribution is not uniform

c.Compute the value of the test statistic?(1 point)(Round your answer to 2decimal places. Negative values should have a minus sign in front of them)

d. Determine the p-value(1 point)(Round your final answer to 4decimal places.)

e.What is your decision regarding the null hypothesis?(1 point)

multiple choice 2

  • Fail to reject the null.
  • Reject the null.

f.Interpret the result.(1 point)

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