   Chapter 8, Problem 3RE Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Solutions

Chapter
Section Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

Miller (2008) examined the energy drink consumption of college undergraduates and found that males use energy drinks, significantly more often than females. To further investigate this phenomenon, suppose that a researcher selects a random sample of n = 36 male undergraduates and a sample of n = 25 females. On average, the males reported consuming M = 2.45 drinks per month and females had 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.a. Did this sample of males consume significantly more energy drinks than the overall population average? Use a one-tailed test with α = .01.b. Did this sample of females consume significantly fewer energy drinks than the overall population average? Use a one-tailed test with α = .01.

(a)

To determine

To find: Whetherthe sample of males consumes significantly more energy drinks than the overall population average.

Explanation

Given info:

The summarized statistics are,

n=36,M=2.45,σ=1.2,μ=1.85

Calculation:

The null and alternative hypotheses:

The null hypothesis:

H0:μ1.85

That is, the sample of male consume less energy drinks than the overall population average.

The alternative hypothesis:

H1:μ>1.85

That is, the sample of male consume significantly more energy drinks than the overall population average.

The level of significance is α=0.01

Test statistic:

z=Mμσn=2.451.851.236=3.00

Thus, the test statistic is 3.00.

From standard normal table P(Z3.00)=0

(b)

To determine

To find: Whether the sample of female consumes significantly fewer energy drinks than the overall population average.

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