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A coffee shop owner wishes to test the null hypothesis: the average amount of time customers spend in her coffee shop is 45 minutes vs. the alternative hypothesis: the average amount of time customers spend in her shop is less than 45 minutes.

A simple random sample of 64 customers is taken. On average these customers spent 42.9 minutes in the coffee shop with a standard deviation of 12 minutes.

a) Find the value of the appropriate test statistic.

b) Find the p-value.

c) According to your answer to (b), the shop owner has/does not have (circle one) significant evidence that the average amount of time customers spend in her coffee shop is less than 45 minutes.

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M9999961

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