BIG Corporation advertises that its light bulbs have a mean lifetime, μ, of 3000 hours. Suppose we have good reason to believe that u is less than 3000 hours and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 2840 hours and that the sample standard deviation of the lifetimes is 750 hours. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H, that should be used for the test? H:0 H₁ :0 (b) Suppose that we decide not to reject the null hypothesis. What sort of error might we be making? (Choose one) ▼ (c) Suppose the true mean lifetime of BIG's light bulbs is 2820 hours. Fill in the blanks to describe a Type II error. A Type II error would be (Choose one) ▼ the hypothesis that μ is (Choose one) (Choose one) when, in fact, u is (Choose one) ▼ H < 020 X X OSO O
BIG Corporation advertises that its light bulbs have a mean lifetime, μ, of 3000 hours. Suppose we have good reason to believe that u is less than 3000 hours and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 2840 hours and that the sample standard deviation of the lifetimes is 750 hours. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H, that should be used for the test? H:0 H₁ :0 (b) Suppose that we decide not to reject the null hypothesis. What sort of error might we be making? (Choose one) ▼ (c) Suppose the true mean lifetime of BIG's light bulbs is 2820 hours. Fill in the blanks to describe a Type II error. A Type II error would be (Choose one) ▼ the hypothesis that μ is (Choose one) (Choose one) when, in fact, u is (Choose one) ▼ H < 020 X X OSO O
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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BIG Corporation advertises that its light bulbs have a mean lifetime, u, of 3000 hours. Suppose we have good reason to believe that u is less than 3000 hours
and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is
2840 hours and that the sample standard deviation of the lifetimes is 750 hours.
Based on this information, complete the parts below.
(a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test?
0
H₂:0
H₁
(b) Suppose that we decide not to reject the null hypothesis. What sort of error might we be making?
(Choose one) ▼
(c) Suppose the true mean lifetime of BIG's light bulbs is 2820 hours. Fill in the blanks to describe a Type II error.
A Type II error would be (Choose one) the hypothesis that u is (Choose one)
(Choose one) ▼ when, in fact, μ is (Choose one)
Explanation
Check
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X
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It is given that the mean lifetime for light bulbs advertises is 3000 hours.
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