Assume the following information for equal-sized samples and make the appropriat
ID: 3434652 • Letter: A
Question
Assume the following information for equal-sized samples and make the appropriate t tests
15
determine the probability of the t test results and decide whether you would accept of reject the hypothesis of no difference between two groups in each case
Assume the following information for unequal-sized samples and make the appropriate t tests
determine the probability of the t test results and decide whether you would accept of reject the hypothesis of no difference between two groups in each case
Assume the following information for equal-sized samples and make the appropriate t tests
Group 1 ?= 25 Group 2 ?= 23 ?^2= 27.8 ?^2= 27.8 n= 15 n=15
determine the probability of the t test results and decide whether you would accept of reject the hypothesis of no difference between two groups in each case
Explanation / Answer
Let mu1 be the mean for group 1
Let mu2 be the mean for group 2
The test hypothesis:
Ho: mu1=mu2 (i.e. null hypothesis)
Ha: mu1 not equal to mu2 (i.e. alternative hypothesis)
The test statistic is
t=(xbar1-xbar2)/sqrt(s1^2/n1+s2^2/n2)
=(25-23)/sqrt(27.8^2/15+27.8^2/15)
=0.197
It is a two-tailed test.
The degree of freedom =n1+n2-2=15+15-2=28
The p-value= P(t with df=28 >0.197) =0.4226 (from student t table)
Assume that the significant level a=0.05
Since the p-value is larger than 0.05, we do not reject Ho.
We would not accept of reject the hypothesis of no difference between two groups in each case
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The test statistic is
t=(25-23)/sqrt(27.8^2/30+27.8^2/15)
=0.228
The degree of freedom =n1+n2-2=30+15-2=43
The p-value= P(t with df=43 >0.228) =0.4104 (from student t table)
Since the p-value is larger than 0.05, we do not reject Ho.
We would not accept of reject the hypothesis of no difference between two groups in each case
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