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. | B. Ho: H = 756 OA. Ho: <756 (claim) Hg: με 756 OD. Ho: #769(claim) Hg:μ = 769 Ha: #756 (claim) E. Ho: 2769 (claim) H₂: H <769 C. Ho: H > 769 Ha: μs 769 (claim) OF. Ho: HS756 Ha: μ> 756 (claim) (b) Identify the critical value(s). Use technology. Zo= 0 (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 reject the manufacturer's
claim? Complete parts (a) through (e).
(a) Identify the null hypothesis and alternative hypothesis.
OA. Ho: <756 (claim)
Μ:με 756
OD. Ho: #769(claim)
H₂H=769
(b) Identify the critical value(s). Use technology.
Zo =
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
OB. Ho: H=756
Ha: #756 (claim)
E. Ho: 2769 (claim)
H₂H<769
OC. Ho: >769
Ha: HS769 (claim)
OF. Ho: H≤ 756
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 reject the manufacturer's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. OA. Ho: <756 (claim) Μ:με 756 OD. Ho: #769(claim) H₂H=769 (b) Identify the critical value(s). Use technology. Zo = (Use a comma to separate answers as needed. Round to two decimal places as needed.) OB. Ho: H=756 Ha: #756 (claim) E. Ho: 2769 (claim) H₂H<769 OC. Ho: >769 Ha: HS769 (claim) OF. Ho: H≤ 756 Ha: >756 (claim)
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