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 .02 significance level. 1. This is a (Click to select)-tailed test. 2. The decision rule is to reject H?: ?? ? ?? if z < . (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) 3. The test statistic is z = . (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) 4. What is your decision regarding H?? (Click to select) 5. The p-value is .
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First, we need to state the null hypothesis (H0) and the alternative hypothesis (H1). Since we are interested in whether the mean daily consumption of regular-coffee drinkers is less than that of decaffeinated-coffee drinkers, we can state the hypotheses as Show more…
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Coffee manufacturer interested in whether the mean daily consumption of regular coffee drinkers is less than decaffeinated coffee drinkers. Assume the population standard deviation for those drinking regular coffee is 1.21 cups per day and 1.40 cups per day for those drinking decaffeinated coffee. A sample of 54 regular coffee drinkers showed a mean of 4.59 cups per day, while a sample of 49 decaffeinated coffee drinkers showed a mean of 5.64 cups per day. Use the .10 significance level. 1. This is a (Click to select)-tailed test. 2. The decision rule is to reject H0: μr ≥ μd if z < (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) 3. The test statistic is z = (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) 4. What is your decision regarding H0? 5. The p-value is
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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. Is this a 1 tail or two tailed test? State the decision rule( negative amount should be indicated by a minus sign. Round answers to three decimal places.) Compute the value of test statistic ( negative amount should be indicated by a minus sign. Round answers to three decimal places.) what is the p-value
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 1.46 cups per day for those drinking decaffeinated coffee. A random sample of 52 regular-coffee drinkers showed a mean of 4.53 cups per day. A sample of 48 decaffeinated-coffee drinkers showed a mean of 5.25 cups per day. Use the 0.100 significance level. a. State the null and alternate hypotheses. b. Compute the test statistic. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) c. Compute the p-value. NOTE: P-value calculators are available through online search. d. What is your decision regarding the null hypothesis?
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