Constructing Confidence Intervals In Exercises 35–38, you are given the sample mean and the population standard deviation. Use this information to construct 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. 37. Maximum Daily Temperature From a random sample of 64 dates, the mean record high daily temperature in the Chicago, Illinois, area has a mean of 84.13°F. Assume the population standard deviation is 14.56°F. (Source: NOAA)
Constructing Confidence Intervals In Exercises 35–38, you are given the sample mean and the population standard deviation. Use this information to construct 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. 37. Maximum Daily Temperature From a random sample of 64 dates, the mean record high daily temperature in the Chicago, Illinois, area has a mean of 84.13°F. Assume the population standard deviation is 14.56°F. (Source: NOAA)
Constructing Confidence Intervals In Exercises 35–38, you are given the sample mean and the population standard deviation. Use this information to construct 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals.
37. Maximum Daily Temperature From a random sample of 64 dates, the mean record high daily temperature in the Chicago, Illinois, area has a mean of 84.13°F. Assume the population standard deviation is 14.56°F. (Source: NOAA)
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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Hypothesis Testing - Solving Problems With Proportions; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=76VruarGn2Q;License: Standard YouTube License, CC-BY
Hypothesis Testing and Confidence Intervals (FRM Part 1 – Book 2 – Chapter 5); Author: Analystprep;https://www.youtube.com/watch?v=vth3yZIUlGQ;License: Standard YouTube License, CC-BY