A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 746 hours. A random sample of 28 light bulbs has a mean life of 719 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. O A. Ho: u=719 O B. Ho: H2 746 (claim) OC. Ho: u>746 Ha: us746 (claim) Ha: u#719 (claim) H: u<746 O D. Ho: H<719 (claim) O E. Ho: us719 Ha: u>719 (claim) OF. Ho:u 746(claim) Ha: u2719 H:=746 (b) Identify the critical value(s). Use technology. (Use a comma to separate answers as needed. Round to two decimal places as needed.) Identify the rejection region(s). Choose the correct answer below. O A. O B. OC. Fail to reject Ho Fail to reject Hg- Fail to reject Hg- Reject Ho Reject Ho Reject Ho Reject Ho

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A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 746 hours. A random sample of 28 light bulbs has a mean life of 719
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.
O A. Ho: H= 719
O B. Ho: µ2746 (claim)
Ha: µ<746
OC. Ho: H>746
H3: u#719 (claim)
Ha: us746 (claim)
O D. Ho: H<719 (claim)
O E. Ho: HS719
OF. Ho: H#746(claim)
H:u=746
Hai H2719
Ha: u>719 (claim)
(b) Identify the critical value(s). Use technology.
zo =
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
Identify the rejection region(s). Choose the correct answer below.
OA.
O B.
Oc.
Fail to reject Ho
Fail to reject H-
Fail to reject H-
Reject Ho/
Reject Ho-
Reject Ho-
Reject H.
Click to select your answer(s).
MacBook Air
esc
F4
F1
F3
@
2#
&
3
4
6
8
Transcribed Image Text:A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 746 hours. A random sample of 28 light bulbs has a mean life of 719 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. O A. Ho: H= 719 O B. Ho: µ2746 (claim) Ha: µ<746 OC. Ho: H>746 H3: u#719 (claim) Ha: us746 (claim) O D. Ho: H<719 (claim) O E. Ho: HS719 OF. Ho: H#746(claim) H:u=746 Hai H2719 Ha: u>719 (claim) (b) Identify the critical value(s). Use technology. zo = (Use a comma to separate answers as needed. Round to two decimal places as needed.) Identify the rejection region(s). Choose the correct answer below. OA. O B. Oc. Fail to reject Ho Fail to reject H- Fail to reject H- Reject Ho/ Reject Ho- Reject Ho- Reject H. Click to select your answer(s). MacBook Air esc F4 F1 F3 @ 2# & 3 4 6 8
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