STAT_13_HW7a_Sol

STAT_13_HW7a_Sol - STA 13C Professor Francisco J. Samaniego...

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1 STA 13C Homework 7 (I) Professor Francisco J. Samaniego Solutions for Homework 7 (Part I) Problems 9.6, 9.7, 9.11, 9.13, four additional problems Problem 9.6
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2 Problem 9.7 a) According to part (d) in Problem 9.6, z = 2.04. The p-value is therefore 0.0207. b) Since p-value = 0.0207 < α = 0.05, we reject the null hypothesis at the 0.05 level. That is there is sufficient evidence to indicate that μ > 2.3. c) The conclusions in part (b) and the one in Problem 9.6 part (d) are the same. Problem 9.11
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3 Problem 9.13 Note that this problem is asking for a two-tailed test. Part (a), (b), and (c) n = 100 , x ffff = 79.7 , s = 0.8 , α = 0.05 H 0 : μ= 80 H A : μ≠ 80 z = x @ μ sn p wwwwww * fffffffffffffffffff = 79.7 @ 80 0.8 100 p wwwwwwwwwwwww * fffffffffffffffffffffffffffffff = @ 3.75 p @ value = 2 B PZ < @ 3.75 `a = 28 . 8 4 1 7 B 10 @ 5 bc 0 Since p-value 0 < α = 0.05, we reject the null hypothesis at the 0.05 level. That is there is sufficient evidence to refute the manufacturer’s claim. Additional Problems Problem #1 a) α= P reject H 0 | H 0 is true Since the rejection region is X 1 , # PX 1| p = 2 3 fff fg Since X ~ Bin 4 , 2 3 under the null hypothesis, # = 0 + = 1 = 4 0 de
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STAT_13_HW7a_Sol - STA 13C Professor Francisco J. Samaniego...

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