Questions: The 95% confidence interval for the difference between two treatment means extends from 2.50 to +5.50. Based on this information, you can conclude that there is no significant difference between the treatments at the .05 level of significance.

The 95% confidence interval for the difference between two treatment means extends from 2.50 to +5.50. Based on this information, you can conclude that there is no significant difference between the treatments at the .05 level of significance.
Transcript text: The $95 \%$ confidence interval for the difference between two treatment means extends from 2.50 to +5.50 . Based on this information, you can conclude that there is no significant difference between the treatments at the .05 level of significance.
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Solution

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Solution Steps

Step 1: Understanding the Confidence Interval

The given 95% 95\% confidence interval for the difference between two treatment means is from 2.50 2.50 to 5.50 5.50 . This interval indicates the range in which the true difference in means is likely to fall with 95% 95\% confidence.

Step 2: Analyzing the Confidence Interval

Since the entire confidence interval (2.50,5.50) (2.50, 5.50) is above 0 0 , it implies that there is a statistically significant difference between the two treatment means. In other words, we can conclude that the difference is not equal to 0 0 .

Step 3: Conclusion on Significance

The statement claims that there is no significant difference between the treatments at the 0.05 0.05 level of significance. Given that the confidence interval does not include 0 0 , we reject this statement. Therefore, the conclusion is that there is indeed a significant difference between the treatments.

Final Answer

The statement is: \\(\boxed{\text{False}}\\)

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