# Two-tailed tests and further statistical analysis

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.)

Answer the following :

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

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#### Solution Summary

This solution provides answers for a two-tailed t-test and additional statistical analysis questions.

Hypothesis Testing, Statistical Inference, and Regression Analysis

1, Explain the difference between the null and alternative hypothesis. Which one can be proven in a statistical sense?

2. What are the differences between one- and two- sample hypothesis tests? Describe the correct mathematical form for specifying the null and alternative hypotheses for both types of tests.

3. Explain Type I and Type II errors. Which one is controllable by the experimenter?

4. What is the difference between paired and independent samples?

5. Provide some practical examples from FINANCIAL SALES where regression models might be used.

6. Explain the difference between simple and multiple linear regression.

7. What do we mean by "significance of regression?"