Suppose a psychologist specializing in learning disorders wanted to estimate the mean iq score for children with a particular type of learning disorder. she obtained a random sample of 11 children with this learning disorder and recorded the following iq scores.

82, 123, 102, 108, 113, 137, 114, 106, 92, 91, 98

iq scores in the general population are normally distributed with a mean of 100.0 points and a standard deviation of 15.0 points. the psychologist was willing to assume that the distribution of iq scores for all children with this particular type of learning disorder is approximately normal with a standard deviation equal to the standard deviation in the general population, 15.0 points.

use the empirical rule, also known as the 68-95-99.7 percent rule, to estimate the margin of error of a 95% confidence interval for the average iq score for all children with this learning disorder. enter your answer with two decimal places of precision. iq points

Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar. consider the given table.

An annual marathon covers a route that has a distance of approximately 26 miles. winning times for this marathon are all over 2 hours. the following data are the minutes over 2 hours for the winning male runners over two periods of 20 years each. earlier period 14 12 15 22 13 10 19 13 9 14 20 18 16 20 23 12 18 17 6 13 recent period 7 11 7 14 8 9 11 14 8 7 9 8 7 9 9 9 9 8 10 8 (a) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the earlier period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks. for more details, view how to split a stem.) minutes beyond 2 hours earlier period 0 1 2 (b) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the recent period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks.) minutes beyond 2 hours recent period (c) compare the two distributions. how many times under 15 minutes are in each distribution

The given diagram shows the parts of a right triangle with an altitude to the hypotenuse. using the two given  measures, find the other four.