coezto.mheducation.com/hrn..tpx Apps re value 10.00 points Power+, Inc produces

Question

coezto.mheducation.com/hrn..tpx Apps re value 10.00 points Power+, Inc produces AA batteries used in remote-controlled toy cars. The mean fe of these batteries follows the normal probability distribution with a mean of 38 hours and a standard deviation of 5.8 hours. As a part of its quality assurance program, Powert, Inc. tests samples of 9 batleries. (a) What can you say about the shape of the distribution of the sample mean? O Uniform Normal O Binomial (bj What is the standard error of the distribution of the sample mean? (Round your answer to 4 decignal places.) (c) What proportion of the samples will have a mean useful life of more than 39 5 hours? (Round z value to 2 decimal places and final answer to 4 decimal places.) (d) What proportion of the sample wil have a mean useful life greater than 37 5 hours? (Round z value to 2 decimal places and final answer to 4 decimal places) Probability (e) What proporton of the sample will have a mean useful life betwoon 37 5 and 39 5 hours? (Round z value to 2 decimal places and final answet to 4 decimal places ) Probablity Esc F4 FS F6 F7 F9 F10 FI

Explanation / Answer

a)normal

b)std error =std deviaiton/(n)1/2 =5.8/(9)1/2 =1.9333

c) P(X>39.5)=1-P(X<39.5)=1-P(Z<(39.5-38)/1.933) =1-P(Z<0.78)=1-0.7823 =0.2177

d)

P(X>37.5)=1-P(X<37.5)=1-P(Z<(37.5-38)/1.933) =1-P(Z<-0.26)=1-0.3974 =0.6026

e)

P(37.5<X<39.5) =0.7823-0.3974 =0.3849

please revert for any clarification/correction

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.