Question

A home improvement store recently purchased a new paint color-mixing machine. The machine is rated to produce 5 gallons of mixed paint every minute. The store’s manager suspects that the machine is underperforming. In order to test his hypothesis, the manager tests the machine’s output by mixing 10 randomly chosen colors and measuring the output rate of the machine. The data is in colormix.sav (data set is provided in the D2L content area in Module 3, Assessment section). State the hypothesis, conduct the appropriate test using SPSS and interpret the results.  alpha=0.05

Answer 1

The SPSS output is:

The hypothesis being tested is:

H₀: µ = 5

H_a: µ < 5

The p-value is 0.0405.

Since the p-value (0.0405) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that the machine is underperforming.

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