A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 769 hours. A random sample of 29 light bulbs has a mean life of 756 hours. Assume the population is normally distributed and the population standard deviation is 64 hours. At a=0.02, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. OB. Ho: H=756 OA. Ho: <756 (claim) H₂H2756 H₂: μ#756 (claim) D. Ho: H769(claim) H₂:μ=769 (b) Identify the critical value(s). Use technology. E. Ho: 2769 (claim) H₂: μ<769 OC. Ho: H> 769 Ha: HS769 (claim) OF. Ho: HS756 Ha: H > 756 (claim) (Use a comma to separate answers as needed. Round to two decimal places as needed.)

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A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 769 hours. A random.
sample of 29 light bulbs has a mean life of 756 hours. Assume the population is normally distributed and the
population standard deviation is 64 hours. At a = 0.02, do you have enough evidence to reject the manufacturer's
claim? Complete parts (a) through (e).
(a) Identify the null hypothesis and alternative hypothesis.
OB. Ho: H=756
OA. Ho: <756 (claim)
Η μ2756
OD. Ho: #769(claim)
H₂=769
(b) Identify the critical value(s). Use technology.
zo =
(Use a comma 1 separate answers as needed. Round to two decimal places as needed.)
✓
OC. Ho: μ>769
H₂: μ#756 (claim)
Ho: 2769 (claim)
H₂H<769
Ha: HS769 (claim)
OF. Ho: HS756
Ha: >756 (claim)
Transcribed Image Text:A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 769 hours. A random. sample of 29 light bulbs has a mean life of 756 hours. Assume the population is normally distributed and the population standard deviation is 64 hours. At a = 0.02, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. OB. Ho: H=756 OA. Ho: <756 (claim) Η μ2756 OD. Ho: #769(claim) H₂=769 (b) Identify the critical value(s). Use technology. zo = (Use a comma 1 separate answers as needed. Round to two decimal places as needed.) ✓ OC. Ho: μ>769 H₂: μ#756 (claim) Ho: 2769 (claim) H₂H<769 Ha: HS769 (claim) OF. Ho: HS756 Ha: >756 (claim)
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