A survey of 200 middle managers showed a distribution of the number of hours of exercise they participated in per week with a mean of 3.64 hours and a standard deviation of 4.76 hours. Complete parts (a) through (c) below. Question content area bottom Part 1 a) According to the Normal model, what percent of managers will exercise fewer than one standard deviation below the mean number of hours? (Round to the nearest whole number as needed.) Part 2 b) For these data, what does that mean? Explain. Select the correct choice below and fill in the answer box(es) within your choice. (Type integers or decimals.) A. One standard deviation below the mean is enter your response here hours. This means that enter your response here% of managers are exercising no more than this number of hours. B. One standard deviation below the mean is enter your response here hours. This means that enter your response here% of managers are exercising exactly this number of hours. C. One standard deviation below the mean is enter your response here hours, which is impossible. D. One standard deviation below the mean is enter your response here hours. This means that enter your response here% of managers are exercising no fewer than this number of hours.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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Question content area bottom

Part 1

a) According to the Normal model, what percent of managers will exercise fewer than one standard deviation below the mean number of hours?

(Round to the nearest whole number as needed.)

Part 2

b) For these data, what does that mean? Explain. Select the correct choice below and fill in the answer box(es) within your choice.

(Type integers or decimals.)

One standard deviation below the mean is

enter your response here

hours. This means that

enter your response here%

of managers are exercising no more than this number of hours.

One standard deviation below the mean is

enter your response here

hours. This means that

enter your response here%

of managers are exercising exactly this number of hours.

One standard deviation below the mean is

enter your response here

hours, which is impossible.

One standard deviation below the mean is

enter your response here

hours. This means that

enter your response here%

of managers are exercising no fewer than this number of hours.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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