A Sample of 10 Students Took a Class Online and 12

question 8

Short Answer

A sample of 10 students took a class online and 12 students took an equivalent class in a traditional classroom. Both classes were given the same final exam three weeks after the end of the courses. The scores were as follows. $$\begin{array} { l | l | l | l | l | l | l | l | l | l | l | l | l } \text { Online } & 67 & 84 & 63 & 94 & 65 & 78 & 63 & 72 & 82 & 76 & & \\\hline \text { Traditional } & 74 & 70 & 87 & 90 & 95 & 73 & 96 & 68 & 90 & 64 & 92 & 80\end{array}$$ Can you conclude that the median score for the online class is less than for the traditional class? Use the α = 0.05 level of significance.
a) State the null and alternate hypotheses.
b) Compute the value of the test statistic.
c) Compute the P-value.
d) State a conclusion

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Definitions:

Sample Means

The average value of a set of data sampled from a larger population.

Standard Deviation

A measure that quantifies the amount of dispersion or variation of a set of data values.

Sample Mean

The average value of a sample subset of a population, often used as an estimate of the population mean.

Pooled Standard Deviation

A method of estimating the standard deviation across two or more sample sets by pooling their variances under the assumption that the population variances are equal.