Answered: Scooter's Tavern boasts that they have…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Scooter's Tavern boasts that they have the "Coldest Beers in Town". A curious citizen tested a random sample of 42 beers and found a mean temperature of 33, with a standard deviation of 0.34. We are going to construct a 96% confidence interval for the mean temperature of all beers in the tavern. Round all answers to 3 decimal places What is the point estimate for our confidence interval? For the critical value, should we use the Z - statistic or the T - statistic? Since we only know the sample standard deviation, we should use the T - statistic. Since we know the population standard deviation, we should use the Z - statistic. Since we only know the sample standard deviation, we should use the Z - statistic. Since we know the population standard deviation, we should use the T - statistic. What is the margin of error? What is the 96% confidence interval? < \mu <

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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