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For the Student\'s curve with 5 degrees of freedom, find the area outside plusmi

ID: 3181910 • Letter: F

Question

For the Student's curve with 5 degrees of freedom, find the area outside plusminus 2 For the Student's curve with 15 degrees of freedom, find the values that contain the middle 95% of the area. True or false: To create a confidence interval for a sample with 5 observations, we would use the Student's curve with 5 degrees of freedom. The area outside plusminus 2 for the Student's curve with 10 degrees of freedom will be larger than the area outside plusminus 2 for the Student's curve with 50 degrees of freedom. The z-test and -test will be in closer agreement when n is small than when n is large. When performing a t-test, T need to worry more about the distribution of the data when n is small than when n is large.

Explanation / Answer

a) for student t curve for 5 degree of freedom and test stat t=2 ; area =0.1019

b)for 95% CI, and 15 degree of freedom t =2.1314

true/false

a) false ; we willuse n-1 =4 degree of freedom

b) true, as for lower degree of freedom area is higher

c) false ; reverse is true

d)true