Miller (2008) examined the energy drink consumption of college undergraduates and found that males used energy drinks significantly more often than females did. To further investigate this phenomenon, a researcher selects a random sample of n = 36 male undergraduates and a sample of n = 25 females. On average, the males report consuming M = 2.45 drinks per month, and females have an average of M = 1.28. Assume that the overall level of consumption for college undergraduates averages μ = 1.85 energy drinks per month and that the distribution of monthly consumption scores is approximately normal with a standard deviation of σ = 1.2. Did this sample of males consume significantly more energy drinks than the overall population average? Use a one-tailed test with α = .01. Use the Distributions tool to help you find the critical values. The null hypothesis is H₀: . For the sample of males, the standard error is σMM = , and z =, which is the critical value of . This sample of males significantly more energy drinks than the overall population average. Standard Normal Distribution Mean = 0.0 Standard Deviation = 1.0 Did this sample of females consume significantly fewer energy drinks than the overall population average? Use a one-tailed test with α = .01. The null hypothesis is H₀: . For the sample of females, z = . This sample of females significantly fewer energy drinks than the overall population average.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 11PPS

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Miller (2008) examined the energy drink consumption of college undergraduates and found that males used energy drinks significantly more often than females did. To further investigate this phenomenon, a researcher selects a random sample of n = 36 male undergraduates and a sample of n = 25 females. On average, the males report consuming M = 2.45 drinks per month, and females have an average of M = 1.28. Assume that the overall level of consumption for college undergraduates averages μ = 1.85 energy drinks per month and that the distribution of monthly consumption scores is approximately normal with a standard deviation of σ = 1.2.

Did this sample of males consume significantly more energy drinks than the overall population average? Use a one-tailed test with α = .01. Use the Distributions tool to help you find the critical values.

The null hypothesis is H₀: .

For the sample of males, the standard error is σMM = , and z =, which is the critical value of .

This sample of males significantly more energy drinks than the overall population average.

Standard Normal Distribution

Mean = 0.0

Standard Deviation = 1.0

Did this sample of females consume significantly fewer energy drinks than the overall population average? Use a one-tailed test with α = .01.

The null hypothesis is H₀: .

For the sample of females, z = .

This sample of females significantly fewer energy drinks than the overall population average.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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