Determining the population standard deviation


The cost of a college education has increased at a much faster rate than costs in general over the past twenty years. In order to compensate for this, many students work part- or full-time in addition to attending classes. At one university, it is believed that the average hours students work per week exceeds 20. To test this at a significance level of 0.05, a random sample of n = 20 students was selected and the following values were observed:

26 15 10 40

10 20 30 36

40 0 5 10

20 32 16 12

40 36 10 0

Based on these sample data, the critical value expressed in hours:

is approximately equal to 25.0 hours.

is approximately equal to 25.26 hours.

is approximately 22 hours.

cannot be determined without knowing the population standard deviation.

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Basic Statistics: Determining the population standard deviation
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