A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 754 hours. A random sample of 30 light bulbs has a mean life of 732 hours. Assume the population is normally distributed population standard deviation is 62 hours. At a = 0.05, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. OC Ho: > 754 YB. H,: u2 754 (claim) H u< 754 OA. Ho us 732 H, u> 732 (claim) H, us754 (claim) O D. H, p<732 (claim) H, p2732 O E H, u#754(claim) H, u= 754 OF. H =732 H, u+732 (claim) (b) Identify the criticarvalue(s). Use technology. (Use a comma to separate answers as needed. Round to two decimal places as needed.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
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A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 754 hours. A random sample of 30 light bulbs has a mean life of 732 hours. Assume the population is normally distributed and the
population standard deviation is 62 hours. At a= 0.05, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e).
(a) Identify the null hypothesis and alternative hypothesis.
OC. Ho: H>754
Ha us754 (claim)
CB. Ho p2754 (claim)
OA Ho: ps732
Ha p>732 (claim)
Ha: µ<754
OE Ho H754(claim)
H p= 754
OF. Ho:H=732
H u#732 (claim)
O D. H, p<732 (claim)
H, p2 732
(b) Identify the critical value(s). Use technology.
Zo =
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
Transcribed Image Text:A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 754 hours. A random sample of 30 light bulbs has a mean life of 732 hours. Assume the population is normally distributed and the population standard deviation is 62 hours. At a= 0.05, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. OC. Ho: H>754 Ha us754 (claim) CB. Ho p2754 (claim) OA Ho: ps732 Ha p>732 (claim) Ha: µ<754 OE Ho H754(claim) H p= 754 OF. Ho:H=732 H u#732 (claim) O D. H, p<732 (claim) H, p2 732 (b) Identify the critical value(s). Use technology. Zo = (Use a comma to separate answers as needed. Round to two decimal places as needed.)
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,