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Suppose we had the following summary statistics from two different, indepen distributed populations, both with variances equal to ơ: 1. Population 1: ¤1 = 135.1, s1 2. Population 2: ã2 = 168.07, 82 = 17.64, n2 18.68, n = 10 14 We want to find a 90% confidence interval for u2 – µ1. To do this, answer the a. Can we assume equal variances or not? O Yes, we can assume equal variances, i.e. o1? = o2².

Suppose we had the following summary statistics from two different, indepen distributed populations, both with variances equal to ơ: 1. Population 1: ¤1 = 135.1, s1 2. Population 2: ã2 = 168.07, 82 = 17.64, n2 18.68, n = 10 14 We want to find a 90% confidence interval for u2 – µ1. To do this, answer the a. Can we assume equal variances or not? O Yes, we can assume equal variances, i.e. o1? = o2².

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Please solve part c, d and e only. DO NOT SOLVE PART a AND b. I need answers for part c, part d and part e.

Suppose we had the following summary statistics from two different, independent, approximately normally distributed populations, both with variances equal to o: 1. Population 1: T1 = 135.1, s1 2. Population 2: F2 = 168.07, 82 18.68, n = 10 = 17.64, n2 = 14 We want to find a 90% confidence interval for l2 H1. To do this, answer the below questions. a. Can we assume equal variances or not? O Yes, we can assume equal variances, i.e. o1? = o2². ONo, we cannot assume equal variances, i.e. o1? + o2². b. We have several options for the degrees of freedom for t. Pick the correct option (no further calculations are necessary on this part.) OUse the degrees of freedom formula n + n2 – 2 = 22. O Use long df formula with degrees of freedom 18.828283 z 19. O Use long df formula with degrees of freedom 18.828283 z 18. c. The critical value from the distribution for a confidence interval of 90% is: t*= Round to 3 decimal places. d. The standard error is: SE = Round to 3 decimal places. e. Using the the answers from above (all rounded to 3 decimal places), calculate by hand a 90% confidence interval for l2 - H1. <Select an answer v< Round to 3 decimal places.
Transcribed Image Text:Suppose we had the following summary statistics from two different, independent, approximately normally distributed populations, both with variances equal to o: 1. Population 1: T1 = 135.1, s1 2. Population 2: F2 = 168.07, 82 18.68, n = 10 = 17.64, n2 = 14 We want to find a 90% confidence interval for l2 H1. To do this, answer the below questions. a. Can we assume equal variances or not? O Yes, we can assume equal variances, i.e. o1? = o2². ONo, we cannot assume equal variances, i.e. o1? + o2². b. We have several options for the degrees of freedom for t. Pick the correct option (no further calculations are necessary on this part.) OUse the degrees of freedom formula n + n2 – 2 = 22. O Use long df formula with degrees of freedom 18.828283 z 19. O Use long df formula with degrees of freedom 18.828283 z 18. c. The critical value from the distribution for a confidence interval of 90% is: t*= Round to 3 decimal places. d. The standard error is: SE = Round to 3 decimal places. e. Using the the answers from above (all rounded to 3 decimal places), calculate by hand a 90% confidence interval for l2 - H1. <Select an answer v< Round to 3 decimal places.
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