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 19 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 8.84 ounces and 0.24 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 fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis: Ho:_? The alternative hypothesis: H1: _? The type of test statistic: ? The value of the test statistic: (Round to at least three decimal places.) ? The two critical values at the 0.05 level of significance: (Round to at least three decimal places.) ? At the 0.05 level of significance, can we conclude that the true mean discharge differs from 9 ounces? Yes or No?
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 19 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 8.84 ounces and 0.24 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 fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis: Ho:_? The alternative hypothesis: H1: _? The type of test statistic: ? The value of the test statistic: (Round to at least three decimal places.) ? The two critical values at the 0.05 level of significance: (Round to at least three decimal places.) ? At the 0.05 level of significance, can we conclude that the true mean discharge differs from 9 ounces? Yes or No?
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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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 19 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 8.84 ounces and 0.24 ounces, respectively. If we assume that the discharge amounts are
Perform a two-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
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| The alternative hypothesis: |
H1: _?
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| The type of test statistic: | ? |
| The value of the test statistic: (Round to at least three decimal places.) |
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| The two critical values at the
0.05
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| level of significance: (Round to at least three decimal places.) |
?
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| At the 0.05 level of significance, can we conclude that the true mean discharge differs from
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| 9 ounces? |
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