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A coin-operated drink machine was designed to discharge a mean of 6 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 19 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 5.88 fluid ounces and 0.2 fluid ounces, respectively. If we assume that the discharge amounts are approximately normally distributed, is there enough evidence, to conclude that the population mean discharge, u, differs from 6 fluid ounces? Use the 0.05 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that the mean discharge differs from 6 fluid ounces? OYes O No F |x 9 D S Р 0

A coin-operated drink machine was designed to discharge a mean of 6 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 19 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 5.88 fluid ounces and 0.2 fluid ounces, respectively. If we assume that the discharge amounts are approximately normally distributed, is there enough evidence, to conclude that the population mean discharge, u, differs from 6 fluid ounces? Use the 0.05 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that the mean discharge differs from 6 fluid ounces? OYes O No F |x 9 D S Р 0

MATLAB: An Introduction with Applications
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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A coin-operated drink machine was designed to discharge a mean of 6 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 19 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 5.88 fluid ounces and 0.2 fluid ounces, respectively. If we assume that the discharge amounts are approximately normally distributed, is there enough evidence to conclude that the population mean discharge, μ, differs from 6 fluid ounces? Use the 0.05 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) --- (d) Find the p-value. (Round to three or more decimal places.) [Input Box] (e) Can we conclude that the mean discharge differs from 6 fluid ounces? O Yes O No --- There is a diagram showing statistical symbols next to the text. These symbols likely include: - μ: Population mean - σ: Population standard deviation - x̄: Sample mean - s: Sample standard deviation - n: Sample size - P: Probability These symbols are visual aids that can be used for reference in statistical calculations.
Transcribed Image Text:A coin-operated drink machine was designed to discharge a mean of 6 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 19 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 5.88 fluid ounces and 0.2 fluid ounces, respectively. If we assume that the discharge amounts are approximately normally distributed, is there enough evidence to conclude that the population mean discharge, μ, differs from 6 fluid ounces? Use the 0.05 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) --- (d) Find the p-value. (Round to three or more decimal places.) [Input Box] (e) Can we conclude that the mean discharge differs from 6 fluid ounces? O Yes O No --- There is a diagram showing statistical symbols next to the text. These symbols likely include: - μ: Population mean - σ: Population standard deviation - x̄: Sample mean - s: Sample standard deviation - n: Sample size - P: Probability These symbols are visual aids that can be used for reference in statistical calculations.
Expert Solution
Step 1

Givensample size(n)=19Mean(x)=5.88standard deviation(s)=0.2significance level(α)=0.05

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