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 1.24 cups per day and 1.44 cups per day for those drinking decafeinated coffee. A random sample of 49 regular-coffee drinkers showed a mean of 4.57 cups per day. A sample of 39 decaffeinated-coffee drinkers showed a mean of 5.17 cups per day. Use the 0.025 significance level. a. State the null and alternate hypotheses. O HO: PRegular 2 PDecaf H: PRegular
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 1.24 cups per day and 1.44 cups per day for those drinking decafeinated coffee. A random sample of 49 regular-coffee drinkers showed a mean of 4.57 cups per day. A sample of 39 decaffeinated-coffee drinkers showed a mean of 5.17 cups per day. Use the 0.025 significance level. a. State the null and alternate hypotheses. O HO: PRegular 2 PDecaf H: PRegular
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Transcribed Image Text: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 1.24 cups per day and
1.44 cups per day for those drinking decaffeinated coffee. A random sample of 49 regular-coffee drinkers showed a mean of 4.57 cups
per day. A sample of 39 decaffeinated-coffee drinkers showed a mean of 5.17 cups per day. Use the 0.025 significance level.
a. State the null and alternate hypotheses.
O Ho: PRegular UDecaf H: PRegular <PDecaf
O Ho: PRegular <UDecaf Hi: PRegular < HDecaf
O Ho: PRegular <UDecaf Hi: PRegular > HDecaf
b. Compute the test statistic. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)
Test statistic
c. Compute the p-value. NOTE: P-value calculators are available through online search.
The p-value is
less than 0.01954.
greater than 0.01954.

Transcribed Image Text:d. What is your decision regarding the null hypothesis?
O Reject Hg-
O Do not reject Hg-
e. Interpret the result.
The mean number of cups for regular coffee drinkers is
decaffeinated coffee drinkers.
less than
greater than
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