a). A student read that a 95% confidence interval for the meanSAT Mathematics score of Texas high school seniors in 2019 is 467to 489. Asked to explain the meaning of this interval, the studentresponded, “In 2019, 95% of Texas high school seniors had SATMathematics scores between 467 and 489.” Is the student essentiallycorrect? Justify your answer fully.
b). A consumer group chose to study the true population meansalary (??) of “family practice” doctors in the Greater HoustonMetroplex. A random sample of one hundred family practice doctorsworking in this area produced the 95% confidence interval[$241,150, $249,070] for ??. Answer the following:
i). If possible, find the sample average salary for the onehundred family practice doctors involved in this study. If notpossible, then state why this statistic cannot be found.
ii). Find the margin of error associated with this confidenceinterval.
