A random sample of 40 business majors who had just completed introductory courses in both statistics and accounting was asked to rate each class in terms of level of interest on a scale of 1 (very uninteresting) to 10 (very interesting). The 40 differences in the pairs of ratings were calculated and the absolute differences ranked. The smaller of the rank sums, which was for those finding accounting the more interesting, was 281. Test the null hypothesis that the population of business majors would rate these courses equally against the alternative that the statistics course is viewed as the more interesting.
A random sample of 40 business majors who had just completed introductory courses in both statistics and accounting was asked to rate each class in terms of level of interest on a scale of 1 (very uninteresting) to 10 (very interesting). The 40 differences in the pairs of ratings were calculated and the absolute differences ranked. The smaller of the rank sums, which was for those finding accounting the more interesting, was 281. Test the null hypothesis that the population of business majors would rate these courses equally against the alternative that the statistics course is viewed as the more interesting.
State the null and alternative hypotheses:
Sample size, n=40
The smaller rank sums is given as,
Compute the sample mean by using the formula:
Compute the variance by using the formula:
Compute the z-test statistic by using the formula:
The value of test statistic is -1.734.
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