3). Two sample cases. A business major student is given a data set in Spread- sheet "Question 5": Sample 1 (x): 6.59 8.74 7.75 5.79 1.39 5.62 5.51 2.96 4.48 4.08 0.48 6.54 6.50 8.73 2.84 9.32 9.72 0.37 4.34 8.08 2.27 3.34 4.08 5.52 3.27 6.59 8.74 7.75 5.79 1.39 Sample 2 (y): 19.78 3.18 2.88 2.56 8.03 6.65 5.23 8.39 12.29 13.46 9.54 -0.36 1.62 3.54 -0.16 9.73 6.11 13.46 10.72 14.45 8.77 10.25 7.62 10.38 n=30, = x = 158.55, 21047.298, της 24, Συ= 188.11, Στ2 Σ Σ= = 2045.635. Assume that two populations are independent and normally distributed with means μ1, H2 and standard deviations 01, 02, respectively. (a) What is the point estimate of 1-2? What is the margin of error E associated with this estimate (use a = 0.05)? (b) Find 95% confidence interval for μ1 - 2. (c) Test Ho 1 μ2 = 0 vs H₁₁₂ <0 at a = 0.01.

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3). Two sample cases. A business major student is given a data set in Spread-
sheet "Question 5":
Sample 1 (x): 6.59 8.74 7.75 5.79 1.39 5.62 5.51 2.96 4.48 4.08 0.48 6.54 6.50 8.73 2.84
9.32 9.72 0.37 4.34 8.08 2.27 3.34 4.08 5.52 3.27 6.59 8.74 7.75 5.79 1.39
Sample 2 (y): 19.78 3.18 2.88 2.56 8.03 6.65 5.23 8.39 12.29 13.46 9.54 -0.36 1.62 3.54
-0.16 9.73 6.11 13.46 10.72 14.45 8.77 10.25 7.62 10.38
n=30,
=
x =
158.55, 21047.298,
της 24, Συ= 188.11,
Στ2
Σ
Σ= = 2045.635.
Assume that two populations are independent and normally distributed with means μ1,
H2 and standard deviations 01, 02, respectively.
(a) What is the point estimate of 1-2? What is the margin of error E associated
with this estimate (use a = 0.05)?
(b) Find 95% confidence interval for μ1 - 2.
(c) Test Ho 1 μ2 = 0 vs H₁₁₂ <0 at a = 0.01.
Transcribed Image Text:3). Two sample cases. A business major student is given a data set in Spread- sheet "Question 5": Sample 1 (x): 6.59 8.74 7.75 5.79 1.39 5.62 5.51 2.96 4.48 4.08 0.48 6.54 6.50 8.73 2.84 9.32 9.72 0.37 4.34 8.08 2.27 3.34 4.08 5.52 3.27 6.59 8.74 7.75 5.79 1.39 Sample 2 (y): 19.78 3.18 2.88 2.56 8.03 6.65 5.23 8.39 12.29 13.46 9.54 -0.36 1.62 3.54 -0.16 9.73 6.11 13.46 10.72 14.45 8.77 10.25 7.62 10.38 n=30, = x = 158.55, 21047.298, της 24, Συ= 188.11, Στ2 Σ Σ= = 2045.635. Assume that two populations are independent and normally distributed with means μ1, H2 and standard deviations 01, 02, respectively. (a) What is the point estimate of 1-2? What is the margin of error E associated with this estimate (use a = 0.05)? (b) Find 95% confidence interval for μ1 - 2. (c) Test Ho 1 μ2 = 0 vs H₁₁₂ <0 at a = 0.01.
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