1. Researchers investigating characteristics of gifted children collected data from schools in a large city on a random sample of thirty-six children who were identified as gifted children soon after they reached the age of four. The following histogram shows the distribution of the ages (in months) at which these children first counted to 10 successfully. Also provided are some sample statistics. 36 30.60 30 35 Age child first counted to 10 (in months) (a) Are conditions for inference satisfied? (b) Suppose you read online that children first count to 10 successfully when they are 32 months old, on average. Using a p-value approach perform a hypothesis test to evaluate if these data provide convincing evidence that the average age at which gifted children first count to 10 successfully is less than the general average of 32 months. Use a significance level of 0.10. (c) Interpret the p-value in context of the hypothesis test and the data