What is the point estimate of the population standard deviation? Find and interpret a 95% interval estimate for u2- H1. Based on the answer in ii) would you conclude that u = µz? Substantiate.

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5)
The following information was obtained from two independent samples selected
from two normally distributed populations with unknown but equal standard
deviations.
Sample 1
Sample 2
X1 = 13.97
S1 = 3.78
n1 = 21
X2 = 15.55
S2 = 3.26
n2 = 20
i) What is the point estimate of the population standard deviation?
ii) Find and interpret a 95% interval estimate for uz - H1.
ii) Based on the answer in ii) would you conclude that µ = Hz? Substantiate.
6)
A sample of 1000 observations taken from population I gave x, 290. Another
sample of size 1200 taken from population II gave x = 396.
i) What would be the value of the test statistics for testing Ho: P, < P, against
H: P, > P.
ii) Find the critical value and draw conclusion about the hypothesis stated in
i). Use 1% level of significance.
246 1 solutions.pdf
梦 $
17°C
Transcribed Image Text:5) The following information was obtained from two independent samples selected from two normally distributed populations with unknown but equal standard deviations. Sample 1 Sample 2 X1 = 13.97 S1 = 3.78 n1 = 21 X2 = 15.55 S2 = 3.26 n2 = 20 i) What is the point estimate of the population standard deviation? ii) Find and interpret a 95% interval estimate for uz - H1. ii) Based on the answer in ii) would you conclude that µ = Hz? Substantiate. 6) A sample of 1000 observations taken from population I gave x, 290. Another sample of size 1200 taken from population II gave x = 396. i) What would be the value of the test statistics for testing Ho: P, < P, against H: P, > P. ii) Find the critical value and draw conclusion about the hypothesis stated in i). Use 1% level of significance. 246 1 solutions.pdf 梦 $ 17°C
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