Asked by Brianna Margaret on May 04, 2024
Verified
The general manager of a chain of Pet stores believes that experience is the most important factor in determining the level of success of a salesperson.To examine this belief she records last month's sales (in $1,000s)and the years of experience of 10 randomly selected salespeople.These data are listed below. Can we conclude at the 5% significance level that experience of the salesperson and sales are linearly related? (Note we cannot assume either variable has a normal distribution.)
Level Of Success
A measure or evaluation of the extent to which specified goals, objectives, or tasks have been achieved.
Linearly Related
Describing a relationship between two variables where a change in one variable is associated with a proportional change in the other variable.
Significance Level
The probability of rejecting the null hypothesis when it is true; a measure of the risk of Type I error.
- Investigate the relationship between two variables via Spearman rank correlation in scenarios where normality criteria are not fulfilled.
Verified Answer
Rejection region: | rs | > 0.648
Test statistic: rs = 0.985
Conclusion: Reject the null hypothesis.Yes she can conclude that more experience is related to more sales in her Pet store chain,according to this data.
Learning Objectives
- Investigate the relationship between two variables via Spearman rank correlation in scenarios where normality criteria are not fulfilled.
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