A coin-operated drink machine was designed to discharge a mean of 9 ounces of coffee per cup. In a test of the machine, the discharge amounts in 20 randomlychosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 8.95 ounces and 0.13 ounces, respectively. If weassume that the discharge amounts are normally distributed, is there enough evidence, at the 0.05 level of significance, to conclude that the true meandischarge, µ, differs from 9 ounces?Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list offormulas.)(a) State the null hypothesis H, and the alternative hypothesis H,.pH, :0H :0(b) Determine the type of test statistic to use.(Choose one) ▼D=0OSO(c) Find the value of the test statistic. (Round to three or more decimal places.)O

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Description: A coin-operated drink machine was designed to discharge a mean of 9 ounces of coffee per cup. In a test of the machine, the discharge amounts in 20 randomlychosen cups of coffee from the machine were recorded. The sample mean and sample standard dev

Given: n = 20 Sample mean = x bar = 8.95 sample standard deviation = s = 0.13 Level of significance…

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A coin-operated drink machine was designed to discharge a mean of 9 ounces of coffee per cup. In a test of the machine, the discharge amounts in 20 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 8.95 ounces and 0.13 ounces, respectively. If we assume that the discharge amounts are normally distributed, is there enough evidence, at the 0.05 level of significance, to conclude that the true mean discharge, u, differs from 9 ounces? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) ? (d) Find the p-value. (Round to three or more decimal places.) (e) At the 0.05 level of significance, can we conclude that the true mean discharge differs from 9 ounces? O Yes ONo olo

A coin-operated drink machine was designed to discharge a mean of 9 ounces of coffee per cup. In a test of the machine, the discharge amounts in 20 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 8.95 ounces and 0.13 ounces, respectively. If we assume that the discharge amounts are normally distributed, is there enough evidence, at the 0.05 level of significance, to conclude that the true mean discharge, u, differs from 9 ounces? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) ? (d) Find the p-value. (Round to three or more decimal places.) (e) At the 0.05 level of significance, can we conclude that the true mean discharge differs from 9 ounces? O Yes ONo olo

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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Question

A coin-operated drink machine was designed to discharge a mean of 9 ounces of coffee per cup. In a test of the machine, the discharge amounts in 20 randomly
chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 8.95 ounces and 0.13 ounces, respectively. If we
assume that the discharge amounts are normally distributed, is there enough evidence, at the 0.05 level of significance, to conclude that the true mean
discharge, µ, differs from 9 ounces?
Perform a two-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of
formulas.)
(a) State the null hypothesis H, and the alternative hypothesis H,.
p
H, :0
H :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
D=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(d) Find the p-value. (Round to three or more decimal places.)
(e) At the 0.05 level of significance, can we conclude that the true mean
discharge differs from 9 ounces?
O Yes O No
to
Ix

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