In Izmir Univesity of Economics in 2018, from a random sample of 6 students in an introductory finance class that uses group-learning techniques, the mean examination score was found to be 77.51 and the sample standard deviation was 2.7. For an independent random sample of 9 students in another introductory finance class that does not use group-learning techniques, the sample mean and standard deviation of exam scores were 72.73 and 8.4, respectively. Estimate with 95% confidence the difference between the two population mean scores; do not assume equal population variances. Click the icon to view the Student's t distribution table. The 95% confidence interval is from a lower limit of to an upper limit of (Round to two decimal places as needed.)
In Izmir Univesity of Economics in 2018, from a random sample of 6 students in an introductory finance class that uses group-learning techniques, the mean examination score was found to be 77.51 and the sample standard deviation was 2.7. For an independent random sample of 9 students in another introductory finance class that does not use group-learning techniques, the sample mean and standard deviation of exam scores were 72.73 and 8.4, respectively. Estimate with 95% confidence the difference between the two population mean scores; do not assume equal population variances. Click the icon to view the Student's t distribution table. The 95% confidence interval is from a lower limit of to an upper limit of (Round to two decimal places as needed.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:In Izmir Univesity of Economics in 2018, from a random sample of 6 students in an introductory finance class that uses group-learning techniques, the mean
examination score was found to be 77.51 and the sample standard deviation was 2.7. For an independent random sample of 9 students in another introductory finance
class that does not use group-leaming techniques, the sample mean and standard deviation of exam scores were 72.73 and 8.4, respectively. Estimate with 95%
confidence the difference between the two population mean scores; do not assume equal population variances.
Click the icon to view the Student's t distribution table.
The 95% confidence interval is from a lower limit of to an upper limit of
(Round to two decimal places as needed.)
Transcribed Image Text:For selected probabilitios, a, the table shows the values t, such that P(t, > t,„) = a, where t, is a Student's t random variable with v degress
of freedom. For example, the probability is .10 that a Student'strandom variable with 10 degrees of freedom exceeds 1.372.
PROBABILITY OF EXCEEDING THE CRITICAL VALUE
0.10
0.05
0.025
0.01
0.005
0.001
1
3.078
6.314
12.706
31.821
63.657
318.313
1.886
2.920
4.303
6.965
9.925
22.327
3
1.638
2.353
3.182
4.541
5.841
10.215
1.533
2.132
2.776
3.747
4.604
7.173
1.476
2.015
2.571
3.365
4.032
5.893
1.440
1.943
2.447
3.143
3.707
5.208
7
1.415
1.895
2.365
2.998
3.499
4.782
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