d. The p-value = e. The p-value is ? a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) The data suggest the population mean is not significantly more than 86 at a = 0.05, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students is equal to 86 liters per year. The data suggest that the population mean amount of alcohol consumed by college students is not significantly more than 86 liters per year at a = 0.05, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students is more than 86 liters per year. The data suggest the populaton mean is significantly more than 86 at a = 0.05, so there is statistically significant evidence to conclude that the population mean amount of alcohol consumed by college students is more than 86 liters per year. t: nful Videos: Calculations [+] Setup [+] Interpretations [+]

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The study investigates whether the average college student consumes more alcohol per year than the average American. A sample of 11 college students reported an average consumption of 95.8 liters with a standard deviation of 20 liters. This study uses a significance level of α = 0.05.

a. The appropriate test is the **t-test for a population mean**.

b. **Null and alternative hypotheses:**

- \( H_0: \mu = 86 \)

- \( H_1: \mu > 86 \)

c. **Test statistic:**

- Calculated as **1.625**.

d. **P-value:**

- Requires calculation (enter to 4 decimal places).

e. Compare p-value to α (0.05).

f. **Decision:**

- Based on the p-value, decide whether to reject or fail to reject the null hypothesis.

g. **Conclusion:**

- Choose one of the following conclusions:

1. The data suggests the population mean is **not significantly** more than 86 at α = 0.05, indicating no significant difference.
   
2. The data suggests the population mean for college students is **not significantly** more than 86 liters per year at α = 0.05, indicating no significant increase.
   
3. The data suggests the population mean is **significantly** more than 86 at α = 0.05, indicating a significant increase.

**Hint:** Utilize calculations and theory videos for setup and interpretations.
Transcribed Image Text:The study investigates whether the average college student consumes more alcohol per year than the average American. A sample of 11 college students reported an average consumption of 95.8 liters with a standard deviation of 20 liters. This study uses a significance level of α = 0.05. a. The appropriate test is the **t-test for a population mean**. b. **Null and alternative hypotheses:** - \( H_0: \mu = 86 \) - \( H_1: \mu > 86 \) c. **Test statistic:** - Calculated as **1.625**. d. **P-value:** - Requires calculation (enter to 4 decimal places). e. Compare p-value to α (0.05). f. **Decision:** - Based on the p-value, decide whether to reject or fail to reject the null hypothesis. g. **Conclusion:** - Choose one of the following conclusions: 1. The data suggests the population mean is **not significantly** more than 86 at α = 0.05, indicating no significant difference. 2. The data suggests the population mean for college students is **not significantly** more than 86 liters per year at α = 0.05, indicating no significant increase. 3. The data suggests the population mean is **significantly** more than 86 at α = 0.05, indicating a significant increase. **Hint:** Utilize calculations and theory videos for setup and interpretations.
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