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# Two-tailed tests and further statistical analysis

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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 14 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 6.11ounces and .16ounces, respectively. If we assume that the discharge amounts are normally distributed, is there enough evidence, at the 0.1level of significance, to conclude that the true mean discharge, , differs from 6 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.)

1) Ho
2) H1
3) Type of test statistic
A) F
b) T If T indicate degree of freedom
c) Chi square
d) Z
4) The value of the test statistic
Round to 3 decimal places
5) The P value
Round to 3 decimal places

6) At the .01 significance level can we conclude that the true mean distance differs from 6 onces? Yes or no