Miller 2008 examined the energy drink consumption of college

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 = 1.85 energy drinks per month, and that the distribution of monthly consumption scores is approximately normal with a standard deviation of = 1.2. Did this sample of females consume significantly fewer energy drinks than the overall population average? Use a one-tailed test with = .01.

H₀: The amount of energy drinks consumed by the female college students will be (greater than or equal to/less than or equal to) _____ the population mean of = 1.85.

H₁: The amount of energy drinks consumed by the female will be (greater/less) ______ than the population mean of = 1.85.

The critical region consists of a proportion of sample means equal to (2 decimal places required) ______, which correspond to z-scores beyond the critical boundaries of (2 decimal places required) z = ______.

The expected value of M is (2 decimals required) _______, and the standard error of the mean is (2 decimals required) _______.

The z-score corresponding to our sample mean is (2 decimals required) _____, which is located (within/outside) ______ the boundaries of the critical region.

The effect size for our study has a Cohen\'s d value equal to (3 decimals required) ______, which is a (small/medium/large) ______ effect.

Write a sentence describing the outcome of the hypothesis test from the previous question as it would appear in a research report. Note: Correct answers must include all of the following: the conclusion of the test in terms of the IV and DV, test statistic, p-value, and the measure and value of the effect size.

Please show work and explain.

Solution