A light bulb manufacturer quarantees that the mean life of a certain type of light bulb is at least 770 hours. A random sample of 27 light bulbs has a mean life of 743 hours. Assume the population is nomally distributed and the population standard deviation is 59 hours. At a= 0.02, do you have enough evidence to reject the manufacturer's daim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: p> 770 H us770 (claim) B. Hg 2770 (daim) OC. H u=743 H, u#743 (daim) OF. H u<743 (daim) H, u<770 O D. Ho: u+770(claim) H u= 770 OE. Ho: us743 H p> 743 (claim) H p2743 (b) Identify the critical value(s). Use technology. (Use a comma to separate answers as needed. Round to two decimal places as needed.)

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7.2.40-T
A light bulb manufacturer quarantees that the mean life of a certain type of light bulb is at least 770 hours. A random sample of 27 light bulbs has a mean life of 743 hours. Assume the population is normally distributed and the
population standard deviation is 59 hours. At a= 0.02, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e).
Question Help ▼
(a) Identify the null hypothesis and alternative hypothesis.
O A. Ho: p>770
H3 µ5770 (claim)
B. Ho: 2770 (daim)
H, u<770
O E. Ho: us743
OC. Ho: u=743
O D. Ho u#770(claim)
H u= 770
H, u#743 (dlaim)
OF. H u<743 (claim)
Ha p>743 (claim)
H, u2743
(b) Identify the critical value(s). Use technology.
Zo = D
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
Enter your answer in the answer box and then click Check Answer
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Transcribed Image Text:7.2.40-T A light bulb manufacturer quarantees that the mean life of a certain type of light bulb is at least 770 hours. A random sample of 27 light bulbs has a mean life of 743 hours. Assume the population is normally distributed and the population standard deviation is 59 hours. At a= 0.02, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). Question Help ▼ (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: p>770 H3 µ5770 (claim) B. Ho: 2770 (daim) H, u<770 O E. Ho: us743 OC. Ho: u=743 O D. Ho u#770(claim) H u= 770 H, u#743 (dlaim) OF. H u<743 (claim) Ha p>743 (claim) H, u2743 (b) Identify the critical value(s). Use technology. Zo = D (Use a comma to separate answers as needed. Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer 3 parts remaining Clear All Check Answer les7e ppt_08_03.pptx Open file 1:53 PM O Type here to search 2/21/2021 break end insert fo home 1sダ esc * #3 3 $ 4 & 7. @ 6. 8. U W
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It is given that,

α=0.02

and test is left-tailed.

 

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