Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 19. Use the empirical rule to determine the following. (a) What percentage of people has an IQ score between 43 and 157? (b) What percentage of people has an IQ score less than 81 or greater than 119? (c) What percentage of people has an IQ score greater than 157? (a) (b) (c) % (Type an integer or a decimal.) % (Type an integer or a decimal.) % (Type an integer or a decimal.) ...

The mean is 146 and the standard deviation is 35. A score of 41 is how many z-scores below the mean?

For a data set of the pulse rates for a sample of adult​ females, the lowest pulse rate is 34 beats per​ minute, the mean of the listed pulse rates is x=72.0 beats per​ minute, and their standard deviation is s=13.8 beats per minute.   a. What is the difference between the pulse rate of 34 beats per minute and the mean pulse rate of the​ females? b. How many standard deviations is that​ [the difference found in part​ (a)]? c. Convert the pulse rate of 34 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly​ high, is the pulse rate of 34 beats per minute​ significant?

Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 77.3 Mbps. The complete list of 50 data speeds has a mean of x = 18.24 Mbps and a standard deviation of s = 17.77 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the carrier's highest data speed to a z score. d. If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant? a. The difference is (Type an integer or a Mbps. decimal. Do not round.) b. The difference is (Round to two decimal standard deviations. places as needed.) c. The z score is z = (Round to two decimal places as needed.) d. The carrier's highest data speed is C