Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 149000 dollars. Assume the standard deviation is 32000 dollars. Suppose you take a simple random sample of 67 graduates.
(a) Find the probability that a single randomly selected policy has a mean value between 154082.2 and 155255.1 dollars.
P(154082.2<><155255.1)=" role="presentation" data-asciimath="P(154082.2 < X < 155255.1)=" style="display: inline-block; line-height: 0; font-size: 18.15px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(0, 0, 0); font-family: " open="" sans",="" "trebuchet="" ms",="" arial,="" helvetica,="" sans-serif;="" position:="" relative;"="">P(154082.2X155255.1)=P(154082.2X155255.1)=
(Enter your answers as numbers accurate to 4 decimal places.)
(b) Find the probability that a random sample of sizen=67" role="presentation" data-asciimath="n=67" style="display: inline-block; line-height: 0; font-size: 18.15px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(0, 0, 0); font-family: "Open Sans", "Trebuchet MS", Arial, Helvetica, sans-serif; position: relative;">n=67n=67has a mean value between 154082.2 and 155255.1 dollars.
P(154082.2<><155255.1)=" role="presentation" data-asciimath="P(154082.2 < bar X < 155255.1)=" style="display: inline-block; line-height: 0; font-size: 18.15px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(0, 0, 0); font-family: " open="" sans",="" "trebuchet="" ms",="" arial,="" helvetica,="" sans-serif;="" position:="" relative;"="">P(154082.2¯¯¯X155255.1)=P(154082.2X¯155255.1)=
(Enter your answers as numbers accurate to 4 decimal places.