Suppose that in Problem 1 only 25 of 36 randomly selected family caregiversresponded, so we have the following data:55 53 47 47 49 43 47 40 48 41 44 51 4843 50 49 47 42 42 47 47 49 46 46 43Assuming that these data come from a population that has a normal distribution,(a) Determine a 99% confidence interval for the mean ages of all US caregivers.(b) Determine a one-sided lower and one-sided upper 99% confidence interval forthe mean ages of all US caregivers. Suppose that in Problem 1 only 25 of 36 randomly selected family caregiversresponded, so we have the following data:55 53 47 47 49 43 47 4043 50 49 47 42 42 47 4748 41 44 51 4849 46 46 43Assuming that these data come from a population that has a normal distribution,(a) Determine a 99% confidence interval for the mean ages of all US caregivers.(b) Determine a one-sided lower and one-sided upper 99% confidence interval forthe mean ages of all US caregivers.

Let X be the age. The given data for X is 55, 53, 47, 47, 49, 43, 47, 40, 48, 41, 44, 51, 48, 43,…

Answered: Suppose that in Problem 1 only 25 of 36…

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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Suppose that in Problem 1 only 25 of 36 randomly selected family caregivers
responded, so we have the following data:
55 53 47 47 49 43 47 40 48 41 44 51 48
43 50 49 47 42 42 47 47 49 46 46 43
Assuming that these data come from a population that has a normal distribution,
(a) Determine a 99% confidence interval for the mean ages of all US caregivers.
(b) Determine a one-sided lower and one-sided upper 99% confidence interval for
the mean ages of all US caregivers.

Suppose that in Problem 1 only 25 of 36 randomly selected family caregivers
responded, so we have the following data:
55 53 47 47 49 43 47 40
43 50 49 47 42 42 47 47
48 41 44 51 48
49 46 46 43
Assuming that these data come from a population that has a normal distribution,
(a) Determine a 99% confidence interval for the mean ages of all US caregivers.
(b) Determine a one-sided lower and one-sided upper 99% confidence interval for
the mean ages of all US caregivers.

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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