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Assume that cans of cola are filled such that the actual amounts have a population mean of μ = 12.00 ounces. A random sample of 49 cans has a mean amount of 12.36 ounces. The distribution of sample means of size n = 49 is normal with an assumed mean of 12.00 ounces, and those sample means have a standard deviation of 0.05 ounce. Complete parts (a) through (c) below. a. How many standard deviations is the sample mean away from the mean of the distribution of sample means? (Round to two decimal places as needed.) b. In general, what is the probability that a random sample of size 49 has a mean of at least 12.36 ounces? (Round to two decimal places as needed.) c. Does it appear that consumers are being cheated? Why or why not? It it that consumers are being cheated. Since the probability from part (b) is so appears most likely that the actual population mean is Therefore, the probability that consumers are getting cans of cola that are filled such that the actual amounts are less than 12.00 ounces is

Assume that cans of cola are filled such that the actual amounts have a population mean of μ = 12.00 ounces. A random sample of 49 cans has a mean amount of 12.36 ounces. The distribution of sample means of size n = 49 is normal with an assumed mean of 12.00 ounces, and those sample means have a standard deviation of 0.05 ounce. Complete parts (a) through (c) below. a. How many standard deviations is the sample mean away from the mean of the distribution of sample means? (Round to two decimal places as needed.) b. In general, what is the probability that a random sample of size 49 has a mean of at least 12.36 ounces? (Round to two decimal places as needed.) c. Does it appear that consumers are being cheated? Why or why not? It it that consumers are being cheated. Since the probability from part (b) is so appears most likely that the actual population mean is Therefore, the probability that consumers are getting cans of cola that are filled such that the actual amounts are less than 12.00 ounces is

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
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Assume that cans of cola are filled such that the actual amounts have a population mean of μ = 12.00 ounces. A random sample of 49 cans has a mean amount of 12.36 ounces. The distribution of sample means of size n = 49 is normal with an assumed mean of 12.00 ounces, and those sample means have a standard deviation of 0.05 ounce. Complete parts (a) through (c) below. a. How many standard deviations is the sample mean away from the mean of the distribution of sample means? (Round to two decimal places as needed.) b. In general, what is the probability that a random sample of size 49 has a mean of at least 12.36 ounces? % (Round to two decimal places as needed.) c. Does it appear that consumers are being cheated? Why or why not? that consumers are being cheated. Since the probability from part (b) is so it appears most likely that the actual population mean is Therefore, the probability that consumers are getting cans of cola that are filled such that the actual amounts are less than 12.00 ounces is
Transcribed Image Text:Assume that cans of cola are filled such that the actual amounts have a population mean of μ = 12.00 ounces. A random sample of 49 cans has a mean amount of 12.36 ounces. The distribution of sample means of size n = 49 is normal with an assumed mean of 12.00 ounces, and those sample means have a standard deviation of 0.05 ounce. Complete parts (a) through (c) below. a. How many standard deviations is the sample mean away from the mean of the distribution of sample means? (Round to two decimal places as needed.) b. In general, what is the probability that a random sample of size 49 has a mean of at least 12.36 ounces? % (Round to two decimal places as needed.) c. Does it appear that consumers are being cheated? Why or why not? that consumers are being cheated. Since the probability from part (b) is so it appears most likely that the actual population mean is Therefore, the probability that consumers are getting cans of cola that are filled such that the actual amounts are less than 12.00 ounces is
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