Identify the margin error Construct a 90% confidence interval for population mean ←In a random sample of eight cell phones, the mean full retail price was $507.00 and the standard deviation was$205.00. Assume the population is normally distributed and use the t-distribution to find the margin of error andconstruct a 90% confidence interval for the population mean u. Interpret the results.Identify the margin of error.(Rosquare dollarsdollarscell phoness needed.)***

Suppose µ is the population mean full retain price.

Answered: In a random sample of eight cell…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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Identify the margin error Construct a 90% confidence interval for population mean

←
In a random sample of eight cell phones, the mean full retail price was $507.00 and the standard deviation was
$205.00. Assume the population is normally distributed and use the t-distribution to find the margin of error and
construct a 90% confidence interval for the population mean u. Interpret the results.
Identify the margin of error.
(Ro
square dollars
dollars
cell phones
s needed.)
***

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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