Researchers investigating the speech habits of teenagers measured the number of times that a person says 'like' during 15-minute conversations recorded either in a casual setting or in a professional setting. They took this measurement on a random sample of 50 students from a single high school in a professional setting, and on a random sample of 50 different students from the same high school in a casual setting. The results are below: Strip plot of the number of likes per 15-minute conversation in casual and professional settings. Red diamonds are the point estimate of the mean, vertical red bars are the 95% confidence intervals for each sample. T-test results (from t.test in R): t = -1.8703, df = 97.951, p-value = 0.06442 alternative hypothesis: true difference in means is not equal to 0 95 percent confidence interval of the difference: -15.5316596 0.4598673 sample estimates: mean of casual 60.75688 mean of professional 53.22098 A. Draw a (biological) conclusion about the relationship between casual vs. professional setting and the use of the word like in conversation. Use statistical information from the figure and / or the R output (set alpha at 0.05) to provide evidence supporting your answer B. What is the null hypothesis for the t test?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Researchers investigating the speech habits of teenagers measured the number of times that a person says 'like' during 15-minute conversations recorded either in a casual setting or in a professional setting. They took this measurement on a random sample of 50 students from a single high school in a professional setting, and on a random sample of 50 different students from the same high school in a casual setting. The results are below: Strip plot of the number of likes per 15-minute conversation in casual and professional settings. Red diamonds are the point estimate of the mean, vertical red bars are the 95% confidence intervals for each sample. T-test results (from t.test in R): t = -1.8703, df = 97.951, p-value = 0.06442 alternative hypothesis: true difference in means is not equal to 0 95 percent confidence interval of the difference: -15.5316596 0.4598673 sample estimates: mean of casual 60.75688 mean of professional 53.22098 A. Draw a (biological) conclusion about the relationship between casual vs. professional setting and the use of the word like in conversation. Use statistical information from the figure and / or the R output (set alpha at 0.05) to provide evidence supporting your answer B. What is the null hypothesis for the t test?

15 minutes
90
per
"likes"
09
30
0
casual
setting
professional

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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