Answered: . The weights of the male students are…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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Please don't write the answer on a paper. I can't understand handwritten. Instructions: Answer the following questions based on what is asked. Using our Problem Set Plate form, write and show your complete solution for each problem. 4. The weights of the male students are normally distributed with a mean of 150 pounds and a standard deviation of 25 pounds. What is the probability that 25 randomly selected male students will have a mean weight of more than 155 pounds? 5. The lengths of pregnancies are normally distributed with a mean of 260 days and a standard deviation of 12 days. If 30 women are randomly selected, find the probability that their lengths of pregnancy have a mean that is less than 255 days?

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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