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 for those drinking decaffeinated coffee is 1.36 cups per day. A random sample of 50 regular-coffee drinkers shows a mean of 4.35 cups per day. A random sample of 40 decaffeinated-coffee drinkers showed a mean of 5.84 cups per day. Test the coffee manufacturer's hypothesis at the 0.01 level of significance.
Added by Brian J.
Close
Step 1
Null hypothesis (H0): The mean daily consumption of regular-coffee drinkers is equal to that of decaffeinated-coffee drinkers. H0: μ1 = μ2 Alternative hypothesis (H1): The mean daily consumption of regular-coffee drinkers is less than that of Show more…
Show all steps
Your feedback will help us improve your experience
Kari Hasz and 74 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Coffee manufacturer is interested in whether the mean daily consumption of regular coffee drinkers is less than that of decaffeinated-coffee drinkers. A random sample of 15 regular- coffee drinkers showed a mean of 4.35 cups per day, with a standard deviation of 1.20 cups per day. A sample of 35 decaffeinated-coffee drinkers showed a mean of 5.84 cups per day, with a standard deviation of 1.36 cups per day. Use the 0.01 significance level. What is the Decision Rule used in this test?
Madhur L.
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.
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
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD