A doctor would like to estimate the mean difference in height of pairs of identical twins. The doctor randomly selects 8 pairs of identical twins and determines the current height, in inches, of each twin. The data are displayed in the table. The conditions for inference are met. The 95% confidence interval for the mean difference (twin 1 – twin 2) in height is (–0.823, 0.573). What is the correct interpretation of this interval?The doctor can be 95% confident that the interval from –0.823 inches to 0.573 inches captures the true mean height of twins.The doctor can be 95% confident that the interval from –0.823 inches to 0.573 inches captures the true mean height of twins in this sample.The doctor can be 95% confident that the interval from –0.823 inches to 0.573 inches captures the true mean difference in the height of twins.The doctor can be 95% confident that the interval from –0.823 inches to 0.573 inches captures the true mean difference in the height of the twins in this sample. selects 8 pairs of identical twins and determines the current height, in inches, of each twin. The data are displayedin the table.Pair12345678Twin 16664.5727065 64.548 54Twin 26765 72 69.5 65 63 49 54.5The conditions for inference are met. The 95% confidence interval for the mean difference (twin 1 - twin 2) inheight is (-0.823, 0.573). What is the correct interpretation of this interval?O The doctor can be 95% confident that the interval from -0.823 inches to 0.573 inches captures the true meanheight of twins.O The doctor can be 95% confident that the interval from -0.823 inches to 0.573 inches captures the true meanheight of twins in this sample.O The doctor can be 95% confident that the interval from -0.823 inches to 0.573 inches captures the true meandifference in the height of twins.O The doctor can be 95% confident that the interval from -0.823 inches to 0.573 inches captures the true meandifference in the height of the twins in this sample.

The correct inference regarding the given interval of (-0.823, 0.573) is to be made from the given…

Answered: A doctor would like to estimate the…

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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A doctor would like to estimate the mean difference in height of pairs of identical twins. The doctor randomly selects 8 pairs of identical twins and determines the current height, in inches, of each twin. The data are displayed in the table.

The conditions for inference are met. The 95% confidence interval for the mean difference (twin 1 – twin 2) in height is (–0.823, 0.573). What is the correct interpretation of this interval?

The doctor can be 95% confident that the interval from –0.823 inches to 0.573 inches captures the true mean height of twins.

The doctor can be 95% confident that the interval from –0.823 inches to 0.573 inches captures the true mean height of twins in this sample.

The doctor can be 95% confident that the interval from –0.823 inches to 0.573 inches captures the true mean difference in the height of twins.

The doctor can be 95% confident that the interval from –0.823 inches to 0.573 inches captures the true mean difference in the height of the twins in this sample.

selects 8 pairs of identical twins and determines the current height, in inches, of each twin. The data are displayed
in the table.
Pair
1
2
3
4
5
6
7
8
Twin 1
66
64.5
72
70
65 64.5
48 54
Twin 2
67
65 72 69.5 65 63 49 54.5
The conditions for inference are met. The 95% confidence interval for the mean difference (twin 1 - twin 2) in
height is (-0.823, 0.573). What is the correct interpretation of this interval?
O The doctor can be 95% confident that the interval from -0.823 inches to 0.573 inches captures the true mean
height of twins.
O The doctor can be 95% confident that the interval from -0.823 inches to 0.573 inches captures the true mean
height of twins in this sample.
O The doctor can be 95% confident that the interval from -0.823 inches to 0.573 inches captures the true mean
difference in the height of twins.
O The doctor can be 95% confident that the interval from -0.823 inches to 0.573 inches captures the true mean
difference in the height of the twins in this sample.

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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