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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.
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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