According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours less than the recommended number of hours per unit? The data show the results of a survey of 16 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 0, 0, 2, 2.9, 0, 0.5, 0, 0.2, 1.1, 1.2, 2.5, 0.1, 0.3, 0.6, 3.2, 3 What can be concluded at the ax = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho ? Select an answer H₂₁: ? v Select an answer ✓ c. The test statistic d. The p-value = e. The p-value is ? ♥ a f. Based on this, we should g. Thus, the final conclusion is that ... = (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) Select an answer the null hypothesis. O The data suggest that the population mean study time per unit for statistics students is not significantly less than 2 at a = 0.05, so there is insufficient evidence to conclude that the population mean study time per unit for statistics students is less than 2. O The data suggest the populaton mean is significantly less than 2 at a = 0.05, so there is sufficient evidence to conclude that the population mean study time per unit for statistics students is less than 2. O The data suggest the population mean is not significantly less than 2 at x = 0.05, so there is sufficient evidence to conclude that the population mean study time per unit for statistics students is equal to 2. h. Interpret the p-value in the context of the study. O If the population mean study time per unit for statistics students is 2 and if you survey another 16 statistics students, then there would be a 0.47045968% chance that the population mean study time per unit for statistics students would be less than 2. There is a 0.47045968% chance of a Type I error. O If the population mean study time per unit for statistics students is 2 and if you survey another 16 statistics students, then there would be a 0.47045968% chance that the sample mean for these 16 statistics students would be less than 1.1. There is a 0.47045968% chance that the population mean study time per unit for statistics students is less than 2. i. Interpret the level of significance in the context of the study. O There is a 5% chance that the population mean study time per unit for statistics students is less than 2. O If the population mean study time per unit for statistics students is 2 and if you survey another 16 statistics students, then there would be a 5% chance that we would end up falsely concuding that the population mean study time per unit for statistics students is less than 2. There is a 5% chance that students just don't study at all so there is no point to this survey. O If the population mean study time per unit for statistics students is less than 2 and if you survey another 16 statistics students, then there would be a 5% chance that we would end up falsely concuding that the population mean study time per unit for statistics students is equal to 2.

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need help with part D getting results 0.0094 and 0.0090 incorrect

**Title: Statistical Analysis of Study Hours per Unit for Statistics Students**

---

**Overview:**

According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. We aim to determine if statistics students’ study hours are less than this recommended number. The data provided below represents the results from a survey of 16 statistics students, indicating how many hours per unit they studied. We assume a normal distribution for the population.

**Data:**

0, 0.2, 2.9, 0, 0.5, 0.2, 1.1, 1.2, 2.5, 0.1, 0.3, 0.6, 3.2, 3

**Statistical Hypothesis Testing:**

We test this at a level of significance of α = 0.05.

**a. Method Selection:**

Determine the appropriate statistical test for analyzing the sample data.

**b. Hypotheses:**

- **Null Hypothesis (H0):**  
  Denote the null hypothesis which will typically state that there is no effect or no difference.

- **Alternative Hypothesis (H1):**  
  Denote the opposite claim to the null hypothesis where there will be a claimed effect or difference.

**c. Test Statistic:**

Calculate and denote the test statistic value, precise to three decimal places.

**d. P-Value Calculations:**

Compute and provide the p-value, precise to four decimal places.

**e. Significance Comparison:**

Discuss the comparison between the p-value and the significance level α.

**f. Decision Making:**

Make a decision on whether to reject or fail to reject the null hypothesis.

**g. Conclusion:**

Interpret the results as follows:

1. The data suggest that the population mean study time per unit for statistics students is not significantly less than 2 at α = 0.05, indicating insufficient evidence to conclude that the mean study time is less than 2.
   
2. If there is significant evidence, conclude that the mean study time for statistics students is less than 2.
   
3. If not significant, reiterate that the conclusion finds no substantial difference from the assumed population mean of 2.

**h. Interpretation of P-value:**

Explain the context of the study p-value:

- Interpret the likelihood and possible ramifications of a Type I error.
  
- Relate this
Transcribed Image Text:**Title: Statistical Analysis of Study Hours per Unit for Statistics Students** --- **Overview:** According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. We aim to determine if statistics students’ study hours are less than this recommended number. The data provided below represents the results from a survey of 16 statistics students, indicating how many hours per unit they studied. We assume a normal distribution for the population. **Data:** 0, 0.2, 2.9, 0, 0.5, 0.2, 1.1, 1.2, 2.5, 0.1, 0.3, 0.6, 3.2, 3 **Statistical Hypothesis Testing:** We test this at a level of significance of α = 0.05. **a. Method Selection:** Determine the appropriate statistical test for analyzing the sample data. **b. Hypotheses:** - **Null Hypothesis (H0):** Denote the null hypothesis which will typically state that there is no effect or no difference. - **Alternative Hypothesis (H1):** Denote the opposite claim to the null hypothesis where there will be a claimed effect or difference. **c. Test Statistic:** Calculate and denote the test statistic value, precise to three decimal places. **d. P-Value Calculations:** Compute and provide the p-value, precise to four decimal places. **e. Significance Comparison:** Discuss the comparison between the p-value and the significance level α. **f. Decision Making:** Make a decision on whether to reject or fail to reject the null hypothesis. **g. Conclusion:** Interpret the results as follows: 1. The data suggest that the population mean study time per unit for statistics students is not significantly less than 2 at α = 0.05, indicating insufficient evidence to conclude that the mean study time is less than 2. 2. If there is significant evidence, conclude that the mean study time for statistics students is less than 2. 3. If not significant, reiterate that the conclusion finds no substantial difference from the assumed population mean of 2. **h. Interpretation of P-value:** Explain the context of the study p-value: - Interpret the likelihood and possible ramifications of a Type I error. - Relate this
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