I sampled 10 downtown Chicago restaurants for the price of their most expensive meal on the menu. Here are the prices: $45, $80, $70, $70, $60, $65, $80, $60, $50, $90Construct a 99% confidence interval for the mean price of the most expensive meal at a downtown Chicago restaurant. Assume the population is approximately normal.Write a sentence using that confidence interval Using the values in the previous question, compute a 95% confidence interval for the standard deviation of the most expensive price for a mean in downtown Chicago.

Given data is 45,80,70,70,60,65,80,60,50,90

Answered: I sampled 10 downtown Chicago…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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I sampled 10 downtown Chicago restaurants for the price of their most expensive meal on the menu. Here are the prices: $45, $80, $70, $70, $60, $65, $80, $60, $50, $90
1. Construct a 99% confidence interval for the mean price of the most expensive meal at a downtown Chicago restaurant. Assume the population is approximately normal.
2. Write a sentence using that confidence interval

Using the values in the previous question, compute a 95% confidence interval for the standard deviation of the most expensive price for a mean in downtown Chicago.

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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