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

Step 2: Analyzing the Confidence Interval

Since the entire confidence interval \( (2.50, 5.50) \) is above \( 0 \), 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 \( 0 \).

Step 3: Conclusion on Significance

The statement claims that there is no significant difference between the treatments at the \( 0.05 \) level of significance. Given that the confidence interval does not include \( 0 \), 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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