You may need to use the appropriate appendix table or technologyto answer this question.
According to the National Association of Colleges and Employers,the 2015 mean starting salary for new college graduates in healthsciences was $51,541. The mean 2015 starting salary for new collegegraduates in business was $53,901. †Assume that starting salariesare normally distributed and that the standard deviation forstarting salaries for new college graduates in health sciences is$11,000. Assume that the standard deviation for starting salariesfor new college graduates in business is $17,000.
(a)
What is the probability that a new college graduate in businesswill earn a starting salary of at least $65,000? (Round your answerto four decimal places.)
(b)
What is the probability that a new college graduate in healthsciences will earn a starting salary of at least $65,000? (Roundyour answer to four decimal places.)
(c)
What is the probability that a new college graduate in healthsciences will earn a starting salary less than $46,000? (Round youranswer to four decimal places.)
(d)
How much would a new college graduate in business have to earnin dollars in order to have a starting salary higher than 99% ofall starting salaries of new college graduates in the healthsciences? (Round your answer to the nearest whole number.)
$
