construct a 99% confidence interval for the population mean for sample A KAssuming that the population is normally distributed, construct a 99% confidence interval for the population mean foreach of the samples below. Explain why these two samples produce different confidence intervals even though theyhave the same mean and range.Sample A: 1 3 3 3 6 6 6 8Sample B: 1 2 3 4 5 6 7 8Full data setwwwwConstruct a 99% confidence interval for the population mean for sample A.sus(Type integers or decimals rounded to two decimal places as needed.)4

It is given that the data values for sample A are: 1, 3, 3, 3, 6, 6, 6, 8.

Answered: C) Construct a 99% confidence interval…

C) Construct a 99% confidence interval for the population mean for sample A. sps Type integers or decimals rounded to two decimal places as needed.)

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 20PFA

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Question

construct a 99% confidence interval for the population mean for sample A

K
Assuming that the population is normally distributed, construct a 99% confidence interval for the population mean for
each of the samples below. Explain why these two samples produce different confidence intervals even though they
have the same mean and range.
Sample A: 1 3 3 3 6 6 6 8
Sample B: 1 2 3 4 5 6 7 8
Full data set
wwww
Construct a 99% confidence interval for the population mean for sample A.
sus
(Type integers or decimals rounded to two decimal places as needed.)
4

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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