weights of adult grey wolves from two regions in Old Mexico.Chihuahua region: x1 variable in pounds86759170798068717464Durango region: x2 variable in pounds687279687789625568685963665854715967 (a) Use a calculator with mean and standard deviation keys to calculate x1, s1, x2, and s2. (Round your answers to four decimal places.)x1= s1= x2= s2= (b) Let μ1 be the mean weight of the population of all grey wolves in the Chihuahua region. Let μ2 be the mean weight of the population of all grey wolves in the Durango region. Find a 95% confidence interval for μ1 – μ2. (Round your answers to two decimal places.)lower limit upper limit

x1 x2 86 68 75 72 91 79 70 68 79 77 80 89 68 62 71 55 74 68…

Answered: weights of adult grey wolves from two…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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weights of adult grey wolves from two regions in Old Mexico.

Chihuahua region: x₁ variable in pounds

86	75	91	70	79
80	68	71	74	64

Durango region: x₂ variable in pounds

68	72	79	68	77	89	62	55	68
68	59	63	66	58	54	71	59	67

(a) Use a calculator with mean and standard deviation keys to calculate x₁, s₁, x₂, and s₂. (Round your answers to four decimal places.)

x₁	=
s₁	=
x₂	=
s₂	=

(b) Let μ₁ be the mean weight of the population of all grey wolves in the Chihuahua region. Let μ₂ be the mean weight of the population of all grey wolves in the Durango region. Find a 95% confidence interval for μ₁ – μ₂. (Round your answers to two decimal places.)

lower limit
upper limit

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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