If the age distribution of customers at a major retail chain is thought to be bell-shaped with a mean equal to 43 years and a standard deviation equal to 7 years, the percentage of customers between the ages of 29 and 57 years is: (Hint: use the empirical rule) A) approximately 68. B) approximately 81.5. C) approximately 95. D) at least 75.

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The graph illustrates the distribution of test scores. The mean score was 73 and the standard deviation was 9. 46 55 64 73 82 91 100 Distribution of Test Scores Use the "Empirical Rule", not a calculator or other technology. a. What is the approximate percentage students who scored between 64 and 82 on the test? b. What Is the approximate percentage of students who scored between 55 and 91 on the test? 96 C. What is the approximate percentage of students who scored less than 55 on the test? d. What is the approximate percentage of students who scored between 73 and 82 on the test?

For a data set of the pulse rates for a sample of adult​ females, the lowest pulse rate is 38beats per​ minute, the mean of the listed pulse rates is x =73.0 beats per​ minute, and their standard deviation is sequals=23.2 beats per minute.   a. What is the difference between the pulse rate of 38 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 38 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between minus−2 and 2 to be neither significantly low nor significantly​ high, is the pulse rate of 38 beats per minute​ significant?