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In: Statistics and Probability

A coffee manufacturer is interested in whether the mean daily consumption of regular-coffee drinkers is less...

A coffee manufacturer is interested in whether the mean daily consumption of regular-coffee drinkers is less than that of decaffeinated-coffee drinkers. Assume the population standard deviation for those drinking regular coffee is 1.36 cups per day and 1.49 cups per day for those drinking decaffeinated coffee. A random sample of 46 regular-coffee drinkers showed a mean of 4.50 cups per day. A sample of 37 decaffeinated-coffee drinkers showed a mean of 5.05 cups per day.

Use the 0.025 significance level.

  1. Is this a one-tailed or a two-tailed test?

  • One-tailed test.

  • Two-tailed test.

  1. State the decision rule. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

  1. Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

  1. What is the p-value?

  1. What is your decision regarding H0?

  • Do not reject H0.

  • Reject H0.

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