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The property manager of a shopping mall claims that the mean score of their customer service is at least 85. Twenty-five customers were randomly selected to evaluate the customer service of the mall. The analysis via a hypothesis test shows that the P-value is less than 0.002 (i.e. p < 0.002).
a. State the null and alternative hypotheses.
b. Which distribution, normal or Student's t-distribution, is more appropriate for the hypothesis test? Why?
c. Explain the results of the hypothesis test in a way that could be understood by someone who has not studied statistics.
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