Question

Researchers want to know if there is a correlation between mother’s age and birth weight for these seven infants. a) Calculate the Pearson Correlation Coefficient for these two variables and b) test whether the correlation is significantly different from 0. Run the test at a 5% level of significance. Give each of the following for part b to receive full credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show your work to receive full credit. Partial credit is available.

ID	Mother’s Age (years)	Birth weight (ounces)
1	25	66.8
2	35	71.8
3	38	60
4	40	100.2
5	23	134.7
6	29	130
7	32	125

Answer 1