Answered: Claim: The mean pulse rate (in beats…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

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Claim: The mean pulse rate (in beats per minute) of adult males is equal to

69.1 bpm. For a random sample of 134 adult males, the mean pulse rate is 68.9 bpm and the standard deviation is 11.5 bpm. Complete parts (a) an (b) below.

a. Express the original claim in symbolic form.

muμ equals= 69.169.1 bpm

(Type an integer or a decimal. Do not round.)

b. Identify the null and alternative hypotheses.

H0:

▼sigmaσ

muμ

▼

equals=

not equals≠

less than<

greater than>

nothing

bpm

H1:

muμ

sigmaσ

▼

less than<

equals=

greater than>

not equals≠

nothing

bpm

(Type integers or decimals. Do not round.)

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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