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sample of 25 cappuccinos shows a mean of 42.1 oz of espresso and a standard deviation of 0.38 oz. A test was conducted to see whether the mean is significantly more than the stated ideal amount.

sample of 25 cappuccinos shows a mean of 42.1 oz of espresso and a standard deviation of 0.38 oz. A test was conducted to see whether the mean is significantly more than the stated ideal amount.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A cafe hired a new group of baristas and wants to make sure that their signature drink, the cappuccino, is being prepared with consistency. In their opinion, an ideal cappuccino contains an average of 42 oz of espresso. In case of a discrepancy, they must adjust the amount accordingly. A random sample of 25 cappuccinos shows a mean of 42.1 oz of espresso and a standard deviation of 0.38 oz. A test was conducted to see whether the mean is significantly more than the stated ideal amount. a. Calculate the value of the the appropriate test statistic for this test. Answer rounded to at least 2 decimal places. b. Determine the tabulated critical value for this test. Only write the absolute value (without +/- sign) Answer rounded to at least 3 decimal places. c. Determine the p-value for this test. Answer in exact fraction, or rounded to at least 4 decimal places.
Transcribed Image Text:A cafe hired a new group of baristas and wants to make sure that their signature drink, the cappuccino, is being prepared with consistency. In their opinion, an ideal cappuccino contains an average of 42 oz of espresso. In case of a discrepancy, they must adjust the amount accordingly. A random sample of 25 cappuccinos shows a mean of 42.1 oz of espresso and a standard deviation of 0.38 oz. A test was conducted to see whether the mean is significantly more than the stated ideal amount. a. Calculate the value of the the appropriate test statistic for this test. Answer rounded to at least 2 decimal places. b. Determine the tabulated critical value for this test. Only write the absolute value (without +/- sign) Answer rounded to at least 3 decimal places. c. Determine the p-value for this test. Answer in exact fraction, or rounded to at least 4 decimal places.
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