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 1.20 cups per day and 1.36 cups per day for those drinking decaffeinated coffee. A random sample of 50 regular-coffee drinkers showed a mean of 4.35 cups per day. A sample of 40 decaffeinated-coffee drinkers showed a mean of 5.84 cups per day. Use the 0.01 significance level. State the decision rule. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) 3. What is the p-value ?
Added by Todd R.
Step 1
State the hypotheses. The first step is to state the null hypothesis and the alternative hypothesis. Null hypothesis: μ1 ≥ μ2 (The mean daily consumption of regular-coffee drinkers is greater than or equal to that of decaffeinated-coffee drinkers.) Show more…
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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 1.22 cups per day and 1.33 cups per day for those drinking decaffeinated coffee. A random sample of 54 regular-coffee drinkers showed a mean of 4.55 cups per day. A sample of 48 decaffeinated-coffee drinkers showed a mean of 5.05 cups per day. Use the 0.01 significance level. State the decision rule( negative amount should be indicated by a minus sign. Round answers to three decimal places.)
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A coffee manufacturer is interested in whether the mean daily consumption of regularcoffee drinkers is less than that of decaffeinated-coffee drinkers. Assume the population standard deviation is 1.20 cups per day for those drinking regular coffee and 1.36 cups per day for those drinking decaffeinated coffee. A random sample of 50 regular-coffee drinkers showed a mean of 4.35 cups per day. A sample of 40 decaffeinated-coffee drinkers showed a mean of 5.84 cups per day. Use the .01 significance level. Compute the $p$ -value.
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