Chapter 10 Discussion

A set of data indicating the shoe print length and height of 12 different men is studied. The correlation coefficient, r = .580. Use a significance level of 0.05.

Critical value method:

1.  
   1. What are the two critical values of r?
   2. Write a sentence for the conclusion stating whether there is or is not a linear correlation between shoe print length and height of men. Use the correlation coefficient and the critical values of r in your explanation.

Hypothesis testing method:

  Using the same 12 pairs of data an hypothesis test with significance level 0.05 shows

Hypotheses:        H0: p = 0

H1: p ≠ 0

          p-value = .0475.      (this is a 2-tail test, the p-value has already been doubled)

3.  Write the rejection rule and conclusion to explain why there is or is not a linear correlation between shoe print length and height of men. Write a complete sentence comparing the statistical values and including the context of the data set.

           Rejection rule:

           Conclusion:

"96% of our customers have reported a 90% and above score. You might want to place an order with us."