Two-Sided Non-Pooled T-Test

Unpooled t-test

3 Activities

The IQ scores for two groups of students are compared. In one group, the students went to University and had a Bachelor’s degree. In the second group, all students went to community college. A simple random sample of each group is selected and students took an IQ test. Here are the summarized results: 



Suppose that the researchers want to test the hypothesis that the mean IQ scores are different. 
a) State in words and in symbols, the appropriate Ho and Ha 
b) Can we assume that the variances of the populations are equal?
c) Test the hypothesis of a difference between the means at the 1% level of significance.  

a) State the appropriate Ho and Ha

Let μB\mu_BμB​ represent the mean IQ of students who had a Bachelor's degree and μCC\mu_{CC}μCC​ represent the mean IQ of students who went to community college

H0:  μB−μCC=0H_0:\ \ \mu_B-\mu_{CC}=0H0​:  μB​−μCC​=0
Ha:  μB−μCC≠0H_a:\ \ \mu_B-\mu_{CC}\ne0Ha​:  μB​−μCC​=0

H0:  μB−μCC≠0H_0:\ \ \mu_B-\mu_{CC}\ne0H0​:  μB​−μCC​=0
Ha:  μB−μCC=0H_a:\ \ \mu_B-\mu_{CC}=0Ha​:  μB​−μCC​=0

H0:  μB−μCC>0H_0:\ \ \mu_B-\mu_{CC}>0H0​:  μB​−μCC​>0
Ha:  μB−μCC<0H_a:\ \ \mu_B-\mu_{CC}<0Ha​:  μB​−μCC​<0

H0:  μB−μCC=0H_0:\ \ \mu_B-\mu_{CC}=0H0​:  μB​−μCC​=0
Ha:  μB−μCC>0H_a:\ \ \mu_B-\mu_{CC}>0Ha​:  μB​−μCC​>0

H0:  μB−μCC=0H_0:\ \ \mu_B-\mu_{CC}=0H0​:  μB​−μCC​=0
Ha:  μB−μCC<0H_a:\ \ \mu_B-\mu_{CC}<0Ha​:  μB​−μCC​<0

I don't know

Independent means assuming non-pooled in course

Professor Karl has two large statistics classes. He teaches one class in the morning and one in the evening. He samples students in both classes to assess his teaching performance. He uses their latest quiz marks for his assessment. 
Here is some summarized statistics:
Suppose that the test statistic for comparing the means is 0.701, what is the approximate range of the p-value? 

Two-Sided Non-Pooled T-Test

Related Topics

Unpooled t-test

More Unpooled t-test Questions:

Independent means assuming non-pooled in course