According to a recent national survey, high school girls average 100 text messages daily. Assume the population standard deviation is 20 text messages. a) describe the sampling distribution of x "bar on top" where x"bar on top" is the sample mean number of text messages for a random sample of 50 high school girls. b)What is the probability that teh sample mean is greater than or equal to 106 ? c) Sarah takes a random sample of 50 girls at her high school and finds the average number of text messages is 106. Do you think the average number of text messages girls send at sarah's high school is the same as the national average ? Why or why not.