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 27 light bulbs has a mean life of 716 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). ... (a) Identify the null hypothesis and alternative hypothesis. OA. Ho: 2746 (claim) Ha: μ<746 OB. Ho: #746(claim) H₂:μ=746 OC. Ho: μ≤716 Ha: μ>716 (claim)

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Show supporting work for each section 

identify the null hypothesis & alternative hypothesis 

identify the critical value(s) 

identify the rejection region 

identify the standardized test statistic z=

decide whether to reject or fail to reject the null hypothesis 

K
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 27 light bulbs has a mean life of 716 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).
(a) Identify the null hypothesis and alternative hypothesis.
O A. Ho: μ²746 (claim)
H₂: μ<746
OD. Hou> 746
Ha: u≤746 (claim)
5 5 15 15 a la
(b) Identify the critical value(s). Use technology.
Z₁ =
71-6
sesta SRAUARA GPS PS
(
O B. Ho: μ#746(claim)
Ha: μ=746
C
O E. Ho: p=716
0
H₂: μ#716 (claim)
C
ang na
2
EN PRE
mandad Daund ta desimal alanan
21250
ELE
račnge
O C. Ho: μ≤716
Ha: μ>716 (claim)
OF. Ho: <716 (claim)
Hg με 716
2005 IMG
Transcribed Image Text:K 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 27 light bulbs has a mean life of 716 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). (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: μ²746 (claim) H₂: μ<746 OD. Hou> 746 Ha: u≤746 (claim) 5 5 15 15 a la (b) Identify the critical value(s). Use technology. Z₁ = 71-6 sesta SRAUARA GPS PS ( O B. Ho: μ#746(claim) Ha: μ=746 C O E. Ho: p=716 0 H₂: μ#716 (claim) C ang na 2 EN PRE mandad Daund ta desimal alanan 21250 ELE račnge O C. Ho: μ≤716 Ha: μ>716 (claim) OF. Ho: <716 (claim) Hg με 716 2005 IMG
2) Complete all parts:
is a claim, identify
a. State the null and alternative hypotheses. Make sure you are stating your
hypotheses in terms of the correct variable (μ or p). If there
which hypothesis is the claim by writing CLAIM to the left of it.
Ho:
Ha:
(est
b. Sketch and properly shade the rejection region and label with the correct critical
value. Make sure to clearly label whether your critical value is a za or ta.
c. Calculate the test statistic accurate to three decimal places; show your work
(including the formula you used) and enter your value in the space below
Test Statistic:
d. State the decision, your reasoning for your decision, AND a one-sentence
conclusion.
Transcribed Image Text:2) Complete all parts: is a claim, identify a. State the null and alternative hypotheses. Make sure you are stating your hypotheses in terms of the correct variable (μ or p). If there which hypothesis is the claim by writing CLAIM to the left of it. Ho: Ha: (est b. Sketch and properly shade the rejection region and label with the correct critical value. Make sure to clearly label whether your critical value is a za or ta. c. Calculate the test statistic accurate to three decimal places; show your work (including the formula you used) and enter your value in the space below Test Statistic: d. State the decision, your reasoning for your decision, AND a one-sentence conclusion.
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