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

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67°F
Cloudy
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
9
DALL
μχ
0<0
OSO
00 0=0
X
>O
#0
Españ
?
Aa
2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility
Transcribed Image Text:67°F Cloudy 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 9 DALL μχ 0<0 OSO 00 0=0 X >O #0 Españ ? Aa 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility
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