A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 768 hours. A random sample of 22 light bulbs has a mean life of 754 hours. Assume the population is normally distributed and the population standard deviation is 63 hours. At a=0.02, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). ar + VV OD. Ho: H≤754 Ha: >754 (claim) ar E. Ho: μ ≥768 (claim) H₂ μ< 768 (b) Identify the critical value(s). Use technology. a VE Ho: μ>768 Hau≤768 (claim) Zo (Use a comma to separate answers as needed. Round to two decimal places as needed.) 2

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Identify critical value use technology 

identify rejection region 

identify the standardized test statistic use technology 

decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim 

A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 768 hours. A random
sample of 22 light bulbs has a mean life of 754 hours. Assume the population is normally distributed and the population
standard deviation is 63 hours. At α = 0.02, do you have enough evidence to reject the manufacturer's claim? Complete
parts (a) through (e).
100
Ho:μ≤754
H₂:μ> 754 (claim)
(b) Identify the critical value(s). Use technology.
¹a
HELISEL
ISTOIE
Ho - H ≥ 768 (claim)
H₂: μ< 768
Ho: μ> 768
Ha: μ≤768 (claim)
Zo=
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
D
Transcribed Image Text:A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 768 hours. A random sample of 22 light bulbs has a mean life of 754 hours. Assume the population is normally distributed and the population standard deviation is 63 hours. At α = 0.02, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). 100 Ho:μ≤754 H₂:μ> 754 (claim) (b) Identify the critical value(s). Use technology. ¹a HELISEL ISTOIE Ho - H ≥ 768 (claim) H₂: μ< 768 Ho: μ> 768 Ha: μ≤768 (claim) Zo= (Use a comma to separate answers as needed. Round to two decimal places as needed.) D
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