High School

The average American consumes 90 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 97.9 liters of alcohol consumed per year with a standard deviation of 22 liters. What can be concluded at the \(\alpha = 0.01\) level of significance?

a. For this study, we should use ___

b. The null and alternative hypotheses would be: ___

Answer :

a. For this study, we should use a one-sample t-test.

b. The null hypothesis H₀: μ = 90, and the alternative hypothesis is H₁:μ > 90

What type of test should we use for this study?

a. For this study, we should use a one-sample t-test because we are comparing the sample mean (college students' alcohol consumption) to a known population mean (average American alcohol consumption).

b. The null and alternative hypotheses would be:

Null Hypothesis (H₀): The average college student consumes the same amount of alcohol per year as the average American. μ = 90 (population mean)

Alternative Hypothesis (H₁): The average college student consumes more alcohol per year than the average American. μ > 90 (population mean)

To test these hypotheses, we will calculate the t-statistic using the formula:

t = (x - μ) / (s / √n)

Where:

  • x is the sample mean (97.9 liters)
  • μ is the population mean (90 liters)
  • s is the sample standard deviation (22 liters)
  • n is the sample size (13 students)

Learn more on null hypothesis here;

https://brainly.com/question/25263462

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