Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used. Find the endpoints of the t-distribution with 2.5% beyond them in each tail if the samples have sizes n1=16 and n2=21. Enter the exact answer for the degrees of freedom and round your answer for the endpoints to two decimal places. degrees of freedom = (incorrect attempts so far include 35 and 36 ) endpoints = +- (incorrect attempts so far include 2.030 and 2.03 )
Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably
Find the endpoints of the t-distribution with 2.5% beyond them in each tail if the
Enter the exact answer for the degrees of freedom and round your answer for the endpoints to two decimal places.
degrees of freedom = (incorrect attempts so far include 35 and 36 )
endpoints = +- (incorrect attempts so far include 2.030 and 2.03 )
*Additional info that may be helpful: When choosing random samples of size n1 and n2 from populations with means μ1 and μ2, respectively, the distribution of the differences in the two sample means, x¯1-x¯2, has the following characteristics.
Center: The mean is equal to the difference in population means, μ1-μ2.
Spread: The standard error is estimated using SE=s12n1+s22n2.
Shape: The standardized differences in sample means follow a t-distribution with degrees of freedom approximately equal to the smaller of n1-1 and n2-1.
For small sample sizes (n1<30 or n2<30), the t-distribution is only a good approximation if the underlying population has a distribution that is approximately normal.
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