Question: Check the answers for each question and correct the wrong one with a simple explanation. Round each CALCULATION answer to exactly TWO decimal places Provide
Check the answers for each question and correct the wrong one with a simple explanation.
Round each CALCULATION answer to exactly TWO decimal places
Provide each TABLE A-2 answer to exactly THREE decimal places
- Question 01 For each scenario, if the appropriate statistical test...
- is az test, write "Z"
- is aone-sample t test, write "ONE"
- is apaired-samples t test, write "PAIRED"
- is anindependent-samples t test, write "INDEPENDENT"
- isnone of these options, write "NONE"
| Scenario | Appropriate Type of Statistical Test |
| Comparing the happiness of a sample group of adults to the expected population mean happiness (population variance happiness is unknown) | (A) ONE |
| Psychologist recruits a group of participants and compares each person's verbal ability vs. their math ability vs. their spatial ability | (B) NONE |
| Manager compares the productivity of 50 workers who only work during the day shift to the productivity of 50 other workers who only work during the night shift | (C) INDEPENDENT |
| Health scientist has 30 individuals follow a diet for one full year and compares the blood pressure of these individuals taken immediately before starting the diet to the blood pressure of the same individuals immediately after following the diet | (D) PAIRED |
Question 02For each scenario,
- If proper decision is to reject the null hypothesis, write "REJECT"
- If proper decision is to fail to reject the null hypothesis, write "FAIL"
t Crit(s) | t Obt | Decision |
| -1.50 and +1.50 | 1.45 | (A) REJECT |
| -6.00 | 12.50 | (B) FAIL |
Question 03 Compute the missing information for each of the following t test scenario
| Type of Analysis | Type of Research Hypothesis | Significance Level | Sample Size [N] | Sample Mean [M] | Sample SS | Known Population Mean [] |
| One- Sample t Test | Two-Tailed | .01 | 15 | 100 | 126 | 95 |
| df | Estimated Population Variance [S2] | Variance of Distribution of Means [S2M] | Standard Deviation of Distribution of Means [SM] | t Crit | t Obt | |
| (A)14 | (B) 9 | (C) 0.60 | (D) 0.77 | (E) -2.977 and +2.977 | (F) 6.49 |
Question 04 Compute the missing information for each of the following t test scenario
| Type of Analysis | Type of Research Hypothesis | Significance Level | Sample Size [N] | Mean of Sample Difference Scores [M] | Sample SS | Known Population Mean [] |
| Paired- Samples t Test | One-Tailed Positive | .05 | 10 | 15 | 3600 | 0 |
| df | Estimated Population Variance of Difference Scores [S2] | Variance of Distribution of Means of Difference Scores [S2M] | Standard Deviation of Distribution of Means of Difference Scores [SM] | t Crit | t Obt | |
| (A) 9 | (B) 400 | (C) 40 | (D) 6.32 | (E) 1.833 | (F) 2.37 |
Question 05 Compute the missing information for each of the following t test scenario
| Type of Analysis | Type of Research Hypothesis | Significance Level | Sample Size (Group 1) [N1] | Sample Mean (Group 1) [M1] | Sample Size (Group 2) [N2] | Sample Mean (Group 2) [M2] |
| Independent- Samples t Test | One-Tailed Negative | .05 | 12 | 50 | 15 | 40 |
| SS (Group 1) [SS1] | SS (Group 2) [SS2] | df (Group 1) [df1] | df (Group 2) [df2] | df Total [dfTotal] | Pooled Estimated Population Variance [S2Pooled] | |
| 35 | 25 | (A) 11 | (B) 14 | (C) 25 | (D) 2.40 | |
| Variance of Distribution of Means (Group 1) [S2M1] | Variance of Distribution of Means (Group 2) [S2M2] | Variance of Distribution of Differences Between Means [S2Difference] | Standard Deviation of Distribution of Differences Between Means [SDifference] | t Crit | t Obt | |
| (E) 0.20 | (F) 0.16 | (G) 0.36 | (H) 0.6 | (I) -1.708 | (J) 16.67 |
Question 06
Compute the Z test effect size for each of the following examples AND then indicate if the magnitude of the effect size is CLOSEST tosmall, medium, orlarge
| Mean of Experimental Population [1] | Mean of Comparison Population [2] | Standard Deviation of Comparison Population [s] | Standardized Effect Size [d] | Magnitude |
| 30 | 90 | 100 | (A) -0.6 | (B) medium |
| 560 | 500 | 200 | (C) 0.3 | (D) small |
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