You are analyzing the results of a consumer survey of a product, rated on a scale from 1 to 10. For the 130 consumers who described themselves as “outgoing,” the average rating was 8.36, and the standard deviation was 1.82. For the 218 “shy” consumers, the average was 8.78, and the standard deviation was 0.91. 

a. Test to see if there is a significant difference between the ratings of outgoing and shy consumers. 

b. Report the test results using p-value notation (as either p>0.05, p<0.05, p<0.01, or p<0.001).