Question
We conclude that
a) There is enough evidence to reject the claim that the mean height for older men is different than mean height of all adults
b) There is enough evidence to support the claim that the mean height for older men is different than mean height of all adults
c) There is not enough evidence to reject the claim that the mean height for older men is different than mean height of all adults
d) There is not enough evidence to support the claim that the mean height for older men is different than mean height of all adults
a) There is enough evidence to reject the claim that the mean height for older men is different than mean height of all adults
b) There is enough evidence to support the claim that the mean height for older men is different than mean height of all adults
c) There is not enough evidence to reject the claim that the mean height for older men is different than mean height of all adults
d) There is not enough evidence to support the claim that the mean height for older men is different than mean height of all adults
Answers
GPT-4o mini
To draw a conclusion about the mean height for older men compared to the mean height of all adults, you would typically go through a hypothesis testing process. The specific choice among the offered options depends on the outcome of your statistical analysis (such as a t-test or a z-test):
1. **Hypotheses setup**:
- Null Hypothesis (H0): The mean height for older men is equal to the mean height of all adults.
- Alternative Hypothesis (H1): The mean height for older men is different from the mean height of all adults.
2. **Results of the statistical test**:
- If the p-value is less than the significance level (commonly set at 0.05), you would reject the null hypothesis (H0).
- If the p-value is greater than the significance level, you would not reject the null hypothesis.
Based on the outcomes:
- If you reject H0, you would conclude that there is enough evidence to support the claim that the mean height for older men is different than the mean height of all adults (Option b).
- If you fail to reject H0, you would conclude that there is not enough evidence to support the claim that the mean height for older men is different than the mean height of all adults (Option d).
Options a and c are incorrect interpretations of statistical hypothesis testing because they imply rejecting or failing to reject H0 without properly relating to the support of the claim.
Choose the option based on the outcome of your analysis:
- If evidence supports a difference: **b**
- If evidence does not support a difference: **d**
1. **Hypotheses setup**:
- Null Hypothesis (H0): The mean height for older men is equal to the mean height of all adults.
- Alternative Hypothesis (H1): The mean height for older men is different from the mean height of all adults.
2. **Results of the statistical test**:
- If the p-value is less than the significance level (commonly set at 0.05), you would reject the null hypothesis (H0).
- If the p-value is greater than the significance level, you would not reject the null hypothesis.
Based on the outcomes:
- If you reject H0, you would conclude that there is enough evidence to support the claim that the mean height for older men is different than the mean height of all adults (Option b).
- If you fail to reject H0, you would conclude that there is not enough evidence to support the claim that the mean height for older men is different than the mean height of all adults (Option d).
Options a and c are incorrect interpretations of statistical hypothesis testing because they imply rejecting or failing to reject H0 without properly relating to the support of the claim.
Choose the option based on the outcome of your analysis:
- If evidence supports a difference: **b**
- If evidence does not support a difference: **d**