(5) Assume o is known witn o? the p-value. = 0.8. Test the hypothesis Ho : b = 0 with significance level a = 0.05. Fine

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Question
5
Below is a data set of sample size n = 5:
x1 = 1.1 x2 = 0.3 x3 = 1
x4 = 0.75 x5 = 1.8
Y1 = 4.5
Y2 = 2
Y3 = 5 y4 = 2.4
Y5 = 4.8
Using the simple linear model y = a + bx + oE, where e is a standard normal random variable.
(4) What's the distribution of b?
Normal (b, o)
Normal (0, o?)
Normal (b,
Normal (0, 120)
= 0.8. Test the hypothesis Ho : b= 0 with significance level a = 0.05. Find
(5) Assume o is known witn o
the p-value.
p = 0.1, reject Ho
p = 0.1, fail to reject Ho
p = 0.01, reject Ho
p = 0.01, fail to reject Ho
Transcribed Image Text:Below is a data set of sample size n = 5: x1 = 1.1 x2 = 0.3 x3 = 1 x4 = 0.75 x5 = 1.8 Y1 = 4.5 Y2 = 2 Y3 = 5 y4 = 2.4 Y5 = 4.8 Using the simple linear model y = a + bx + oE, where e is a standard normal random variable. (4) What's the distribution of b? Normal (b, o) Normal (0, o?) Normal (b, Normal (0, 120) = 0.8. Test the hypothesis Ho : b= 0 with significance level a = 0.05. Find (5) Assume o is known witn o the p-value. p = 0.1, reject Ho p = 0.1, fail to reject Ho p = 0.01, reject Ho p = 0.01, fail to reject Ho
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