A coin- operated drink machine was designed to discharge a mean of 6 ounces of coffee per cup. In a test of the machine, the discharge amounts in 18 randomly chosen cups of were recorded. The sample mean and sample standard deviation were 5.87 ounces and 0.19 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 6 ounces? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations 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) _______ The value of the test statistic: ______ (round to at least three decimal places.)   The p-value: _______ (round to at least three decimal places.) At the 0.05 level of significance, can we conclude that the true mean Discharge differs from 6 ounces? Yes ______ NO ______

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A coin- operated drink machine was designed to discharge a mean of 6 ounces of coffee per cup. In a test of the machine, the discharge amounts in 18 randomly chosen cups of were recorded. The sample mean and sample standard deviation were 5.87 ounces and 0.19 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 6 ounces?

Perform a two-tailed test. Then fill in the table below.

Carry your intermediate computations 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) _______

The value of the test statistic: ______

(round to at least three decimal places.)

 

The p-value: _______

(round to at least three decimal places.)

At the 0.05 level of significance, can we conclude that the true mean

Discharge differs from 6 ounces? Yes ______ NO ______

 

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