or false? 7 SFor a problem in which the observed value of t 2.500 with 26 degrees of free- dom (two-tailed), the difference is significant at the .05 level but not at the .01 level." Is this statement true or false? R Using the information in Question 7, what decision should be made about the null hypothesis at the .05 level?

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question 7 and 8 please.

**Worksheet 44 (continued)**

5. For a problem in which the observed value of \( t = 1.999 \) with 21 degrees of freedom (two-tailed), may the null hypothesis be rejected at the .05 level?

6. "Based on the information in Question 5, the difference between the means is statistically significant at the .05 level." Is this statement true or false?

7. "For a problem in which the observed value of \( t = 2.500 \) with 26 degrees of freedom (two-tailed), the difference is significant at the .05 level but not at the .01 level." Is this statement true or false?

8. Using the information in Question 7, what decision should be made about the null hypothesis at the .05 level?

9. If \( n = 30 \) for one group and \( n = 32 \) for another group, what is the value of \( df \) for a t test on independent data?

**Solution section:**

| false (you) | 2.348 (mistake) | .872 (lengthy) | 2.447 (explain) | true (did) | .742 (it) | 6.739 (does) | no (why) | 3.707 (always) | reject it (helpless) | yes (to) | do not reject it (helpless) | 62 (being) | 60 (wrong) | 61 (difficult) |
Transcribed Image Text:**Worksheet 44 (continued)** 5. For a problem in which the observed value of \( t = 1.999 \) with 21 degrees of freedom (two-tailed), may the null hypothesis be rejected at the .05 level? 6. "Based on the information in Question 5, the difference between the means is statistically significant at the .05 level." Is this statement true or false? 7. "For a problem in which the observed value of \( t = 2.500 \) with 26 degrees of freedom (two-tailed), the difference is significant at the .05 level but not at the .01 level." Is this statement true or false? 8. Using the information in Question 7, what decision should be made about the null hypothesis at the .05 level? 9. If \( n = 30 \) for one group and \( n = 32 \) for another group, what is the value of \( df \) for a t test on independent data? **Solution section:** | false (you) | 2.348 (mistake) | .872 (lengthy) | 2.447 (explain) | true (did) | .742 (it) | 6.739 (does) | no (why) | 3.707 (always) | reject it (helpless) | yes (to) | do not reject it (helpless) | 62 (being) | 60 (wrong) | 61 (difficult) |
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