A coffee manufacturer claims that the mean amount of coffee in its 3-ounce jars is 3.1 ounces. Based on a sample of 50 jars, a consumer advocate group obtains the following 98% confidence interval for the population mean weight, u: 2.95 ounces to 3.05 ounces. Based on this interval, do you think that the manufacturer's claim is plausible? Possible? Explain your thinking.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
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A coffee manufacturer claims that the mean amount of coffee in its 3-ounce jars is 3.1 ounces. Based on a sample of 50 jars, a consumer advocate group
obtains the following 98% confidence interval for the population mean weight, u: 2.95 ounces to 3.05 ounces. Based on this interval, do you think that the
manufacturer's claim is plausible? Possible? Explain your thinking.
We can be 98% confident that the true mean weight lies between 2.95 and 3.05
O ounces. Since this interval does not include the value 3.1, the manufacturer's claim is
unlikely to be true. Nevertheless, the manufacturer's claim is not impossible.
We can be 98% confident that the true mean weight lies between 2.95 and 3.05
O ounces. Since this interval includes the value 3.1, the manufacturer's claim is likely to
be true. Nevertheless, the manufacturer's claim is possible.
We can be 98% confident that the true mean weight lies between 2.95 and 3.05
O ounces. Since this interval does not include the value 3.1, the manufacturer's claim is
likely to be true. Nevertheless, the manufacturer's claim is not impossible.
We can be 98% confident that the true mean weight lies between 2.95 and 3.05
O ounces. Since this interval does not include the value 3.1, the manufacturer's claim is
unlikely to be true. Nevertheless, the manufacturer's claim is impossible.
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Transcribed Image Text:A coffee manufacturer claims that the mean amount of coffee in its 3-ounce jars is 3.1 ounces. Based on a sample of 50 jars, a consumer advocate group obtains the following 98% confidence interval for the population mean weight, u: 2.95 ounces to 3.05 ounces. Based on this interval, do you think that the manufacturer's claim is plausible? Possible? Explain your thinking. We can be 98% confident that the true mean weight lies between 2.95 and 3.05 O ounces. Since this interval does not include the value 3.1, the manufacturer's claim is unlikely to be true. Nevertheless, the manufacturer's claim is not impossible. We can be 98% confident that the true mean weight lies between 2.95 and 3.05 O ounces. Since this interval includes the value 3.1, the manufacturer's claim is likely to be true. Nevertheless, the manufacturer's claim is possible. We can be 98% confident that the true mean weight lies between 2.95 and 3.05 O ounces. Since this interval does not include the value 3.1, the manufacturer's claim is likely to be true. Nevertheless, the manufacturer's claim is not impossible. We can be 98% confident that the true mean weight lies between 2.95 and 3.05 O ounces. Since this interval does not include the value 3.1, the manufacturer's claim is unlikely to be true. Nevertheless, the manufacturer's claim is impossible. Continue Submit Assic © 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Acc MacBook Air 80 000 000 DII DD F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11
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