A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 737 hours. A random sample of 22 light bulbs has a mean life of 711 hours. Assume the population is normally distributed and the population standard deviation is 61 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 OA. Ho >737 Ha us737 (claim) OD. Ho u2737 (claim) H <737 (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 OA. Fail to reject Ho Reject Ho Z= Reject Ho Q E (c) Identify the standardized test statistic. Use technology. (Round to two decimal places as needed.). OB. H <711 (claim) H, μ2711 OE. H 737(claim) H₂=737 OB. Fail to reject H₂. A Reject H₂ ID OC. H₂=711 OF. Hous711 OC C. H₂ μ*711 (claim) Ha >711 (claim) A Reject He 0 Fail to reject Ho Q Q G
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 737 hours. A random sample of 22 light bulbs has a mean life of 711 hours. Assume the population is normally distributed and the population standard deviation is 61 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 OA. Ho >737 Ha us737 (claim) OD. Ho u2737 (claim) H <737 (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 OA. Fail to reject Ho Reject Ho Z= Reject Ho Q E (c) Identify the standardized test statistic. Use technology. (Round to two decimal places as needed.). OB. H <711 (claim) H, μ2711 OE. H 737(claim) H₂=737 OB. Fail to reject H₂. A Reject H₂ ID OC. H₂=711 OF. Hous711 OC C. H₂ μ*711 (claim) Ha >711 (claim) A Reject He 0 Fail to reject Ho Q Q G
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 737 hours. A random sample of 22 light bulbs has a mean life of 711 hours. Assume the population is normally distributed and the population standard deviation is 61 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.
OA. Ho >737
H₂ us737 (claim)
OD. Ho ≥737 (claim)
H, με 737
(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.
OA.
Fail to reject Ho.
Reject Ho
A
0
Reject Ho
4
Q
Q
G
OB. H
Η
OE Ho 737(claim)
H₂=737
<711 (claim)
μ2711
OB.
Fail to reject Ho
Reject H₂
OA. Reject Ho. There is not sufficient evidence to reject the claim that mean bulb life is at least 737 hours.
OC. Reject Ho. There is sufficient evidence to reject the claim that mean bulb life is at least 737 hours.
E
(c) Identify the standardized test statistic. Use technology.
z=(Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim
Review
2
Subtracting Decimals
Find 36.57-4.6.
OC. H₁ =711
od pa ay di n
H₂ μ711 (claim)
OF H₂ HS711
OB. Fail to reject Ho. There is sufficient evidence to reject the claim that mean bulb life is at least 737 hours.
OD. Fail to reject Ho. There is not sufficient evidence to reject the claim that mean bulb life is at least 737 hours.
H₂ >711 (claim)
Reject Ho
Place decimal point
-4.60+ show placerable.
Fail to reject Ho
36.57 36.57
-4.0 - 407
Q
sa
-
0.53
+362
0.23
d
1.10
non
1-99.
001
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