A coin-operated drink machine was designed to discharge a mean of 8 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 7.91 ounces and 0.26 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 8 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: Н : х The alternative Н hypothesis: D=0 OSO The type of test statistic: (Choose one) O#0 OO The value of the test statistic: (Round to at least three decimal places.) The two critical values at the 0.05 level of ||and || significance: (Round to at least three decimal places.) At the 0.05 level of significance, can we conclude that the true mean discharge Yes No differs from 8 ounces? 미미

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A coin-operated drink machine was designed to discharge a mean of 8 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 7.91 ounces and 0.26 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 8 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:
Н
:
х
The alternative
Н
hypothesis:
D=0
OSO
The type of test statistic:
(Choose one)
O#0
O<O
O>O
The value of the test
statistic:
(Round to at least three
decimal places.)
The two critical values at
the 0.05 level of
||and ||
significance:
(Round to at least three
decimal places.)
At the 0.05 level of significance, can we
conclude that the true mean discharge
Yes
No
differs from 8 ounces?
미미
Transcribed Image Text:A coin-operated drink machine was designed to discharge a mean of 8 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 7.91 ounces and 0.26 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 8 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: Н : х The alternative Н hypothesis: D=0 OSO The type of test statistic: (Choose one) O#0 O<O O>O The value of the test statistic: (Round to at least three decimal places.) The two critical values at the 0.05 level of ||and || significance: (Round to at least three decimal places.) At the 0.05 level of significance, can we conclude that the true mean discharge Yes No differs from 8 ounces? 미미
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