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 0.01 significance 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 is 133.3 and the sample standard deviation is 26. (Round the expected frequencies to 2 decimal places)   Class Frequency Expected Frequencies Under 50 3   50 up to 70 6   70 up to 90 24   90 up to 110 81   110 up to 130 154   130 up to 150 177   150 up to 170 108   170 up to 190 36   190 up to 210 9   210 and above 2     b. Select the correct hypothesis statements.  multiple choice 1 H0: The distribution is not normal; H1: The distribution is normal H0: The distribution is not uniform; H1: The distribution is uniform 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?  (Round your answer to 2 decimal places. Negative values should have a minus sign in front of them)

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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 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 0.01 significance 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 is 133.3 and the sample standard deviation is 26. (Round the expected frequencies to 2 decimal places)

 

Class Frequency Expected Frequencies
Under 50 3  
50 up to 70 6  
70 up to 90 24  
90 up to 110 81  
110 up to 130 154  
130 up to 150 177  
150 up to 170 108  
170 up to 190 36  
190 up to 210 9  
210 and above 2  

 

b. Select the correct hypothesis statements. 

multiple choice 1

  • H0: The distribution is not normal; H1: The distribution is normal
  • H0: The distribution is not uniform; H1: The distribution is uniform
  • 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?  (Round your answer to 2 decimal places. Negative values should have a minus sign in front of them)



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

 

e. What is your decision regarding the null hypothesis? 

multiple choice 2

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

 

f. Interpret the result. 

 
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