Question

Question 14 --/1 View Policies Current Attempt in Progress Is a t-Distribution Appropriate? A sample with size n = 10 has À = 508.5 , and S = 21.5 The dotplot for this sample is given below. TTTTTTTTTTTTTTTTTTTTTTTTTTT 540 550 560 570 500 510 520 530 Indicate whether or not it is appropriate to use the t-distribution. If it is appropriate, give the degrees of freedom for the t-distribution and give the estimated standard error. If it is not appropriate, enter -1 in both of the answer fields below. Enter the exact answer for the degrees of freedom and round your answer for the standard error to two decimal places. df = standard error = i eTextbook and Media

Answer 1

Solution: Here concept of t distribution is used.

Solution - Since the population standard deviation (s) is unknown, sample size is small and we assume the sample has taken from normally distribution population therefore it is appropriate to use the t- distribution The degrees of freedom for the t-distribution will be (n-1) = (10-1) = 9. Standard error is given as follows: Standard error = = 2105 = 6.7389 ~ 6.80 Standard error = 6.80