A9 Assume we have observed samples ₁,...,100 from a normally distributed population with known variance o2. We want to use a z-test to make inference about the population mean and we have found 2= Circle the correct letter: 1 10 100 A Xi - 7 O Consider the following statistical hypotheses: (i) Ho: p=7, H₁: μ7 at significance level a = 1%. (ii) Ho: ≤7, H₁: μ> 7 at significance level a = 5%. (iii) Ho: ≤7, H₁: μ> 7 at significance level a = = 1%. (iv) Ho: μ = 7, H₁: μ7 at significance level a = = 5%. Which of these hypotheses are rejected by the z-test? A: (i), (ii), and (iii) = 2.478. B: (i) and (iii) C: (i) only E: (ii) and (iv) B C D E D: (ii), (iii), and (iv)

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A9 Assume we have observed samples ₁,...,100 from a normally distributed population with
known variance o2. We want to use a z-test to make inference about the population
mean and we have found
2 =
Circle the correct letter:
1
10
100
Xi 7
O
= 2.478.
Consider the following statistical hypotheses:
(i) Ho: = 7, H₁: μ‡7 at significance level a = 1%.
(ii) Ho: µ ≤7, H₁: µ> 7 at significance level a = 5%.
(iii) Ho: ≤7, H₁: > 7 at significance level a = 1%.
(iv) Ho: = 7, H₁: 7 at significance level a = 5%.
Which of these hypotheses are rejected by the z-test?
A: (i), (ii), and (iii)
B: (i) and (iii) C: (i) only
E: (ii) and (iv)
A B C D E
D: (ii), (iii), and (iv)
Transcribed Image Text:A9 Assume we have observed samples ₁,...,100 from a normally distributed population with known variance o2. We want to use a z-test to make inference about the population mean and we have found 2 = Circle the correct letter: 1 10 100 Xi 7 O = 2.478. Consider the following statistical hypotheses: (i) Ho: = 7, H₁: μ‡7 at significance level a = 1%. (ii) Ho: µ ≤7, H₁: µ> 7 at significance level a = 5%. (iii) Ho: ≤7, H₁: > 7 at significance level a = 1%. (iv) Ho: = 7, H₁: 7 at significance level a = 5%. Which of these hypotheses are rejected by the z-test? A: (i), (ii), and (iii) B: (i) and (iii) C: (i) only E: (ii) and (iv) A B C D E D: (ii), (iii), and (iv)
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