he average American consumes 86 liters of alcohol per year. Does the average college student consume more alcohol per year? A researcher surveyed 13 randomly selected college students and found that they averaged 91.1 liters of alcohol consumed per year with a standard deviation of 21 liters. What can be concluded at the the αα = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: H1:H1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population mean is not significantly more than 86 at αα = 0.05, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students is equal to 86 liters per year. The data suggest the populaton mean is significantly more than 86 at αα = 0.05, so there is statistically significant evidence to conclude that the population mean amount of alcohol consumed by college students is more than 86 liters per year. The data suggest that the population mean amount of alcohol consumed by college students is not significantly more than 86 liters per year at αα = 0.05, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students is more than 86 liters per year.

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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The average American consumes 86 liters of alcohol per year. Does the average college student consume more alcohol per year? A researcher surveyed 13 randomly selected college students and found that they averaged 91.1 liters of alcohol consumed per year with a standard deviation of 21 liters. What can be concluded at the the αα = 0.05 level of significance?

For this study, we should use
The null and alternative hypotheses would be:

H0:H0:

H1:H1:

The test statistic = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is αα
Based on this, we should the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest the population mean is not significantly more than 86 at αα = 0.05, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students is equal to 86 liters per year.
- The data suggest the populaton mean is significantly more than 86 at αα = 0.05, so there is statistically significant evidence to conclude that the population mean amount of alcohol consumed by college students is more than 86 liters per year.
- The data suggest that the population mean amount of alcohol consumed by college students is not significantly more than 86 liters per year at αα = 0.05, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students is more than 86 liters per year.

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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