A Researcher Would Like to Evaluate the Effectiveness of a Pain-Relief

question 60

Short Answer

A researcher would like to evaluate the effectiveness of a pain-relief patch designed for lower back pain.Prior to testing the patch,each of n = 8 patients rates the current level of back pain on a scale from 1 to 10.After wearing the patch for 90 minutes,a second pain rating is recorded.The data are as follows:
$$\begin{array} { r c } \text { Before } & \text { After } \\\hline 6 & 2 \\8 & 3 \\9 & 4 \\8 & 1 \\10 & 2 \\5 & 3 \\9 & 8 \\7 & 7\end{array}$$
a.Compute the mean and variance for the sample of difference scores.
b.Do the results indicate a significant difference? Use a two-tailed test with α = .05
c.Compute Cohen's d to measure the size of the effect.

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Definitions:

Loyalty Programs

Marketing initiatives designed to reward and thereby retain customers by offering benefits (such as points, discounts, or rewards) for frequent purchases or engagement.

Reward Programs

Loyalty schemes designed by businesses to incentivize and retain customers by offering them benefits for repeated purchases or engagements.

Sales Promotion

A marketing strategy involving the use of short-term incentives to encourage the purchase or sale of a product or service.

A Sample

A portion or subset of a larger group or dataset, selected for analysis or observation of the whole.