The average American consumes 84 liters of alcohol per year. Does the average college student consume less alcohol per year? A researcher surveyed 14 randomly selected college students and found that they averaged 74.4 liters of alcohol consumed per year with a standard deviation of 21 liters. What can be concluded at the the αα = 0.01 level of significance? H0: H1:The test statistic:The p-value = he p-value is ? aBased on this, we should Select an answer accept fail to reject reject the null hypothesis.Thus, the final conclusion is that ...The data suggest the populaton mean is significantly less than 84 at αα = 0.01, so there is statistically significant evidence to conclude that the population mean amount of alcohol consumed by college students is less than 84 liters per year.The data suggest that the population mean amount of alcohol consumed by college students is not significantly less than 84 liters per year at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students is less than 84 liters per year.The data suggest the population mean is not significantly less than 84 at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students is equal to 84 liters per year.

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Description: The average American consumes 84 liters of alcohol per year. Does the average college student consume less alcohol per year? A researcher surveyed 14 randomly selected college students and found that they averaged 74.4 liters of alcohol consumed per

The null and alternative hypotheses are: Ho: \muμ = 8484 H1: \muμ < 8484 This corresponds to a…

Answered: erage American consumes 84 liters of…

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The average American consumes 84 liters of alcohol per year. Does the average college student consume less alcohol per year? A researcher surveyed 14 randomly selected college students and found that they averaged 74.4 liters of alcohol consumed per year with a standard deviation of 21 liters. What can be concluded at the the αα = 0.01 level of significance?

H0:

H1:

The test statistic:

The p-value =

he p-value is ? a

Based on this, we should Select an answer accept fail to reject reject the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest the populaton mean is significantly less than 84 at αα = 0.01, so there is statistically significant evidence to conclude that the population mean amount of alcohol consumed by college students is less than 84 liters per year.
- The data suggest that the population mean amount of alcohol consumed by college students is not significantly less than 84 liters per year at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students is less than 84 liters per year.
- The data suggest the population mean is not significantly less than 84 at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students is equal to 84 liters per year.

Expert Solution

Step 1

The null and alternative hypotheses are:

Ho: $\mu$ = $84$

H1: $\mu$ < $84$

This corresponds to a left-tailed test, for which a t-test for one mean, with unknown population standard deviation, will be used.

The t-statistic is computed as follows:

The p-value with 13(n-1) degrees of freedom and left tailed test is $p = 0.055 5 (from t distribution table)$ , and since $p = 0.0555 \geq 0.01$ , it is concluded that the null hypothesis is not rejected.

Therefore, there is not enough evidence to claim that the population mean $μ$ is less than 84, at the 0.01 significance level.

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