Schaum's Outline of Statistics by Murray R Spiegel

Author:Murray R Spiegel
Language: eng
Format: epub
Publisher: McGraw-Hill Education
Published: 2018-04-11T04:00:00+00:00

Fig. 10-10 The p-value is the area to the right of Z = 3.27

10.15 Using SPSS and the pull-down “Analyze ⇒ Compare means ⇒ one-sample t test” and the data in Problem 10.14, test H0 : μ = 5.5 h versus the alternative H0 : μ > 5.5 h at α = 0.05 by finding the p-value and comparing it with α.

SOLUTION

The SPSS output is as follows:

One-Sample Statistics

One-Sample Test

In the first portion of the SPSS output, the needed statistics are given. Note that the computed test statistic is referred to as t, not z. This is because for n > 30, the t and the z distribution are very similar. The t distribution has a parameter called the degrees of freedom that is equal to n – 1. The p-value computed by SPSS is always a two-tailed p-value and is referred to as Sig.(2-tailed). It is equal to 0.002. The 1-tailed value is 0.002/2 = 0.001. This is close to the value found in Problem 10.14 which equals 0.00054. When using computer software, the user must become aware of the idiosyncrasies of the software.

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