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. Below are the number of hours spent by teache and 12 students were selected at random to there is a significant difference on the average Teacher 5 6 4 7

. Below are the number of hours spent by teache and 12 students were selected at random to there is a significant difference on the average Teacher 5 6 4 7

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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1. Below are the number of hours spent by teachers and students in using gadgets daily. A sample of 13 teachers and 12 students were selected at random to participate in the study. Using 5% level of significance, test if there is a significant difference on the average hours spent by teachers and students. Teacher 5 6 4 7 9 5 6 7 6 10 9 8 8 Student 7 9 10 5 4 6 8 8 9 7 5 6 The data are analyzed using MS Excel. The result is shown below. t-Test: Two-Sample Assuming Equal Variances Variable 1 Variable 2 Mean 6.9230769 7 Variance 3.2435897 3.4545455 Observations. 13 12 Pooled Variance 3.3444816 Hypothesized Mean Difference 0 df 23 t Stat -0.105071 P(T<=t) one-tail 0.4586151 It Critical one-tail 1.7138715 P(T<=t) two-tail 0.9172301 t Critical two-tail 2.0686576 a. Null and alternative hypothesis. (2 pts. b. Level of Significance. (1 pt.) c. Test statistic to be used and decide whether a one-tailed test or two-tailed test. (2 pts.) d. Critical value and the rejection region/s. (2 pts.) e-f. Complete the table. (5 pts.) Critical value Decision g. Conclusion. Variables t-value
Transcribed Image Text:1. Below are the number of hours spent by teachers and students in using gadgets daily. A sample of 13 teachers and 12 students were selected at random to participate in the study. Using 5% level of significance, test if there is a significant difference on the average hours spent by teachers and students. Teacher 5 6 4 7 9 5 6 7 6 10 9 8 8 Student 7 9 10 5 4 6 8 8 9 7 5 6 The data are analyzed using MS Excel. The result is shown below. t-Test: Two-Sample Assuming Equal Variances Variable 1 Variable 2 Mean 6.9230769 7 Variance 3.2435897 3.4545455 Observations. 13 12 Pooled Variance 3.3444816 Hypothesized Mean Difference 0 df 23 t Stat -0.105071 P(T<=t) one-tail 0.4586151 It Critical one-tail 1.7138715 P(T<=t) two-tail 0.9172301 t Critical two-tail 2.0686576 a. Null and alternative hypothesis. (2 pts. b. Level of Significance. (1 pt.) c. Test statistic to be used and decide whether a one-tailed test or two-tailed test. (2 pts.) d. Critical value and the rejection region/s. (2 pts.) e-f. Complete the table. (5 pts.) Critical value Decision g. Conclusion. Variables t-value
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