Estimate of Common Population Standard Deviation A psychologist is conducting a

Question

Estimate of Common Population Standard Deviation A psychologist is conducting a study to learn about the difference between o population means 2 us ng a t -independent samples rocedure The two sample standard deviations are s1 = 4.0 points and s2 = 3.0 points and the sample size for the group I was more than the sample size for group 2. Which value is the only reasonable value for the pooled estimate of the common population standard deviation? Question 3 Multiple Choice Options 2.3 points 3.3 points 3.5 points 3.7 points 4.9 points Cannot be determined

Explanation / Answer

as it is pooled estimate tehrefore pooled std deviaiton should be between 3.0 and 4.0

also as sample size for group 1 is more than sample size for group 2 ; therefore due to high weightage pooled std deviaiton will be near to sample 1 std deviation than sample 2 std deviation. hence correct choice is :

3.7 points

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