The Mental Development Index (MDI) of the Bayley Scales of Infant Development is a standardized measure used in observing infants over time. It is approximately normal with a mean of 100 and a standard deviation of 16. Complete parts a through c. a. What proportion of children has an MDI of (i) at least 130? (ii) at least 90? (1) The proportion of children having an MDI of at least 130 is 0.0301. (Round to four decimal places as needed.) (ii) The proportion of children having an MDI of at least 90 is 0.7357. (Round to four decimal places as needed.) b. Find the MDI score that is the 98th percentile. The 98th percentile MDI score is 132.8. (Round to two decimal places as needed.) c. Find the MDI score such that only 2% of the population has an index below it. 2% of the population have an MDI score below (Round to two decimal places as needed.)

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The Mental Development Index (MDI) of the Bayley Scales of Infant Development is a standardized measure used in observing infants over time. It is approximately normal with a mean of 100
and a standard deviation of 16. Complete parts a through c.
a. What proportion of children has an MDI of (i) at least 130? (ii) at least 90?
(1) The proportion of children having an MDI of at least 130 is 0.0301
(Round to four decimal places as needed.)
2
(ii) The proportion of children having an MDI of at least 90 is 0.7357.
(Round to four decimal places as needed.)
b. Find the MDI score that is the 98th percentile.
The 98th percentile MDI score is 132.8
(Round to two decimal places as needed.)
c. Find the MDI score such that only 2% of the population has an index below it.
View an example Get more help -
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(Round to two decimal places as needed.)
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Transcribed Image Text:The Mental Development Index (MDI) of the Bayley Scales of Infant Development is a standardized measure used in observing infants over time. It is approximately normal with a mean of 100 and a standard deviation of 16. Complete parts a through c. a. What proportion of children has an MDI of (i) at least 130? (ii) at least 90? (1) The proportion of children having an MDI of at least 130 is 0.0301 (Round to four decimal places as needed.) 2 (ii) The proportion of children having an MDI of at least 90 is 0.7357. (Round to four decimal places as needed.) b. Find the MDI score that is the 98th percentile. The 98th percentile MDI score is 132.8 (Round to two decimal places as needed.) c. Find the MDI score such that only 2% of the population has an index below it. View an example Get more help - W 2% of the population have an MDI score below. (Round to two decimal places as needed.) S X H mmand ای ایرانی 3 20 D C $ R F % 5 V 55 T G 스 6 B Y H & 44 F7 U N 8 Dil 1 M 9 K DD 19 O 1 L 9 F10 P command Clear all : P11 f [ option ? Check answer 11 (320) F12 1 Y delete
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