Assume that cans of cola are filled such that the actual amounts have a population mean of μ = 8.00 ounces. A random sample of 36 cans has a mean amount of 8.42 ounces. The distribution of sample means of size n = 36 is normal with an assumed mean of 8.00 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? 8.4 (Round to two decimal places as needed.) b. In general, what is the probability that a random sample of size 36 has a mean of at least 8.42 ounces? (Round to two decimal places as needed.)

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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Assume that cans of cola are filled such that the actual amounts have a population mean of μ = 8.00 ounces. A random sample of 36 cans has a mean amount of 8.42
ounces. The distribution of sample means of size n = 36 is normal with an assumed mean of 8.00 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?
8.4
(Round to two decimal places as needed.)
b. In general, what is the probability that a random sample of size 36 has a mean of at least 8.42 ounces?
0%
(Round to two decimal places as needed.)
Transcribed Image Text:Assume that cans of cola are filled such that the actual amounts have a population mean of μ = 8.00 ounces. A random sample of 36 cans has a mean amount of 8.42 ounces. The distribution of sample means of size n = 36 is normal with an assumed mean of 8.00 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? 8.4 (Round to two decimal places as needed.) b. In general, what is the probability that a random sample of size 36 has a mean of at least 8.42 ounces? 0% (Round to two decimal places as needed.)
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