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  20  randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were  8.14  ounces and  0.23  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. The null hypothesis: H0:   The alternative hypothesis: H1:   The type of test statistic: (Choose one)ZtChi squareF             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.) and At the 0.05 level of significance, can we conclude that the true mean discharge differs from  8  ounces?   Yes     No

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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 
20
 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 
8.14
 ounces and 
0.23
 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.

The null hypothesis:
H0:
 
The alternative hypothesis:
H1:
 
The type of test statistic: (Choose one)ZtChi squareF      
     
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.)
and
At the 0.05 level of significance, can we conclude that the true mean discharge differs from 
8
 ounces?
 
Yes
 
 
No
 
 
 
 
 
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