Question

In: Statistics and Probability

Assignment #3: Independent Samples T test Conduct an Independent Samples T test to answer the questions...

Assignment #3: Independent Samples T test Conduct an Independent Samples T test to answer the questions based on the following scenario. (Assume a non-directional research hypothesis (two-tailed test) and a level of significance of .05) The superintendent who collected data for Assignments 1 and 2, continued to examine the district’s data. One question that concerned the superintendent’s constituencies was the difference between the school performance scores of the superintendent’s district and a neighboring district that had similar demographic and socio-economic characteristics. The superintendent collected the following information: School performance scores for superintendent’s district: 72 64 67 71 80 65 72 64 64 69 61 68 79 66 75 88 72 60 70 74 63 62 69 81 69 57 School performance scores for comparison district: 76 63 58 65 77 65 71 58 79 66 71 80 63 76 79 73 81 76 79 65 60 88 56 82 60 52 57 66 83

1. What are the mean and standard deviation for the superintendent’s district?

2. What are the mean and standard deviation for the comparison district?

3. State an appropriate null hypothesis for this analysis.

4. What is the observed or computed value of t?

5. What is the value of the degrees of freedom that are reported in the output (equal variances assumed)?

6. What is the reported level of significance?

7. Based on the reported level of significance, would you reject the null hypothesis?

8. Present the results as they might appear in an article. This must include a narrative statement that reports and interprets the results of the Independent Samples T test.

Solutions

Expert Solution

6) let Los be Alfa = 0.05

7) p value = 0.8267

Since p value > 0.05 , we fail to reject the null hypothesis.

8) there was no  difference between the school performance scores of the superintendent’s district and a neighboring district that had similar demographic and socio-economic characteristics.


Related Solutions

Assignment #3: Independent Samples T test Conduct an Independent Samples T test to answer the questions...
Assignment #3: Independent Samples T test Conduct an Independent Samples T test to answer the questions based on the following scenario. (Assume a non-directional research hypothesis (two-tailed test) and a level of significance of .05) The superintendent who collected data for Assignments 1 and 2, continued to examine the district’s data. One question that concerned the superintendent’s constituencies was the difference between the school performance scores of the superintendent’s district and a neighboring district that had similar demographic and socio-economic...
Conduct an Independent Samples T test to answer the questions based on the following scenario. (Assume...
Conduct an Independent Samples T test to answer the questions based on the following scenario. (Assume a non-directional research hypothesis (two-tailed test) and a level of significance of .05) The superintendent who collected data for Assignments 1 and 2, continued to examine the district’s data. One question that concerned the superintendent’s constituencies was the difference between the school performance scores of the superintendent’s district and a neighboring district that had similar demographic and socio-economic characteristics. The superintendent collected the following...
Assignment 4: T test for Dependent samples Directions Conduct a T test for Dependent Samples to...
Assignment 4: T test for Dependent samples Directions Conduct a T test for Dependent Samples to answer the questions based on the following scenario. (Assume a nondirectional research hypothesis (two-tailed test) and a level of significance of .05) Scenario To further examine the school performance scores of the district, the superintendent identified schools within the district that could be matched to schools from surrounding districts using a series of demographic characteristics such as size, socio-economic status, and percent special education...
Assignment #4: T test for Dependent Samples Directions: Conduct a T test for Dependent Samples to...
Assignment #4: T test for Dependent Samples Directions: Conduct a T test for Dependent Samples to answer the questions based on the following scenario. (Assume a nondirectional research hypothesis (two-tailed test) and a level of significance of .05) To further examine the school performance scores of the district, the superintendent identified schools within the district that could be matched to schools from surrounding districts using a series of demographic characteristics such as size, socio-economic status, and percent special education students....
Indicate which test (dependent samples t-test, independent samples t-test, independent samples z-test) is most appropriate for...
Indicate which test (dependent samples t-test, independent samples t-test, independent samples z-test) is most appropriate for the following situation: i. Comparison of mean recycling participation between 9 large cities and 11 small cities ii. Comparison of the weights of 16 Toronto Maple Leaf rookies at the beginning versus the end of the regular NHL season. iii. Comparison of fin length of 35 male and 37 female brook trout sampled in Spruce Lake, Nottingham Forest. iv. Comparison of the mass of...
2.2. Indicate which test (paired samples (ie dependent) t-test, independent two samples t-test, one-sample t-test, independent...
2.2. Indicate which test (paired samples (ie dependent) t-test, independent two samples t-test, one-sample t-test, independent samples z-test) is most appropriate for the following situations : A. Comparison of weight gain of two groups of 18 cows where one group was raised following standard practices and the other group was raised following “organic” standards. B. Comparison of scores on a fitness test of Olympic-class distance runners (n=20) with the national average score of people of a similar age range (22-31...
Conduct an independent samples t-test using the following data: A researcher is interested in testing how...
Conduct an independent samples t-test using the following data: A researcher is interested in testing how listening to music affects exercise performance. She has one group listen to Tool and another group listen to Jonas Brothers. The number of consecutive reps on the bench before stopping was being measured. The following data was collected: Listening to Tool: 15, 18, 16, 19, 20 Listening to Jonas Brothers: 10, 9, 11, 13 a. What are the null and research hypotheses? b. Determine...
1. Identify which test the scenario will use: independent samples t test, paired samples t test,...
1. Identify which test the scenario will use: independent samples t test, paired samples t test, chi square test for goodness of fit, chi square test for independence or chi square test for homogeneity. A. A researcher goes to the parking lot at a large grocery chain and observes whether each person is male or female and whether they return the cart to the correct spot before Chi leaving (yes or no). B. Amber Sanchez, a statistics student, collected data...
Independent Samples T-Test by Group (receiving intervention vs. control group on waiting list) Independent Samples T-Test...
Independent Samples T-Test by Group (receiving intervention vs. control group on waiting list) Independent Samples T-Test t df p Uscreen -7.495 98 < .001 Note. Student's t-test. Independent Samples T-Test by Race (White vs. Black/Hispanic) Independent Samples T-Test t df p Uscreen -2.473 98 0.015 Note. Student's t-test. Independent Samples T-Test by Age (21-24 vs 25-30) Independent Samples T-Test t df p Uscreen 1.478 98 0.143 ᵃ Note. Student's t-test. ᵃ Levene's test is significant (p < .05), suggesting a...
Paired Samples t-TEST After you run the t-test, answer these questions (type responses in this box):...
Paired Samples t-TEST After you run the t-test, answer these questions (type responses in this box): 1. What is the p-value (the significance)? 2. Is the difference between mean score for pretest and posttest statistically significant? Paired Samples t-TEST Statistics Competency Pretest Posttest 65 85 43 99 96 90 69 87 9 65 56 66 32 73 87 99 88 90 75 80 100 80 85 99 88 89 35 90 100 88 75 89 99 90 77 89 90...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT