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A carpet company advertises that it will deliver your carpet within 15 days of purchase. A...

A carpet company advertises that it will deliver your carpet within 15 days of purchase. A sample of 49 past customers is taken. The average delivery time in the sample was 16.2 days. Assume the population standard deviation is known to be 5.6 days.

  1. State the null and alternative hypotheses.
  2. t-test or z-test?
  3. Calculate test statistic
  4. Using a critical value, test the null hypothesis at the 5% level of significance. State conclusion.

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