Statistics for the Life Sciences Essay Paper

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Statistics for the Life Sciences Essay Paper Sample Answer

 

Treadmill Exercise Bike Total
Total sold 185 123 308
Service contract 67 55 122
Total 252 178

The confidence interval (C.I) for the difference in proportion is obtained using the formula:

C.I diff = , where  , and

The proportion of service contract sold on the treadmill is 67/122, whereas the proportion of those sold the exercise bike is 55/122.

Statistics for the Life Sciences Essay Paper
Statistics for the Life Sciences Essay Paper

Therefore, to construct the confidence interval we need p1, p2, n1, n2, standard error of the difference, and the zα.

Thus, let p1 = 67/122, n1 = 122, and p2 = 55/122, n2 = 122

D =  =

SE p1 – p2 =

=

=

=

CI = .

Key to note, the confidence interval is as effective as the test of hypothesis (ANOVA or T-test), for it can be used in determining whether two averages or proportions are statistically significant. The constructed confidence interval implies that we are 95% confident that the proportion difference will lie between -0.0265, and 0.2232. Notably, the constructed confidence interval contains zero, which means that the difference between the proportion of service contract sold on the treadmill and the proportion of those sold on the exercise bike is not significantly different from zero.  In other words, the two sales are not statistically different at the 95% level of significance. In simple terms, this deduces that in the past six months, the Service contract sold using the treadmill and exercise bike was not significantly different.  That is to say, the two channels of distributions are equally effective in the sale of the service contract.  Therefore, when the firm is advertising, they need to emphasize about the two selling techniques equally.

Statistics for the Life Sciences Essay Paper References

Samuels, M. L., Witmer, J. A., & Schaffner, A. (2012). Statistics for the life sciences. Pearson Education. From http://law.qu.edu.qa/artssciences/mathphysta/stats/syllabi/fall2012/Stat_151-kassim.pdf

 

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