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.)
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.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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