light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least747hours. A random sample of29light bulbs has a mean life of721hours. Assume the population is normally distributed and the population standard deviation is58hours. Atα=0.02,do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 747 hours. A random sample of 29 light bulbs has amean life of 721 hours. Assume the population is normally distributed and the population standard deviation is 58 hours. At a = 0.02, do you haveenough evidence to reject the manufacturer's claim? Complete parts (a) through (e).(a) Identify the null hypothesis and alternative hypothesis.O A. Ho: H2747 (claim)Hai H< 747O B. Ho: u> 747Hai us 747 (claim)OC. Ho:H< 721 (claim)Hại H2 721O D. Ho: H= 747(claim)O E. Ho: Hs 721H3: u> 721 (claim)OF. Ho:H = 721H3i u z 721 (claim)Hạ: u = 747(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.O A.OB.OC.Fail to reject Ho-Fail to reject Ho-Fail to reject Ho-Reject H.-Reject Hg-Reject HoReject Ho-(c) Identify the standardized test statistic. Use technology.(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.O A. Reject Ho. There is sufficient evidence to reject the claim that mean bulbO B. Reject Ho. There is not sufficient evidence to reject the claim that meanlife is at least 747 hours.bulb life is at least 747 hours.OC. Fail to reject Hn. There is sufficient evidence to reject the claim thatO D. Fail to reject Hn. There is not sufficient evidence to reject the claim thatmean bulb life is at least 747 hours.mean bulb life is at least 747 hours.

A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 747 hours. A random sample of 29 light bulbs has a mean life of 721 hours. Assume the population is normally distributed and the population standard deviation is 58 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 B. Ho: u> 747 Hai us 747 (claim) OC. Ho:H< 721 (claim) Ha: u2 721 O A. Ho: H2 747 (claim) Ha: H<747 O D. Ho:H= 747(claim) O E. Ho: Hs 721 OF. Ho:µ = 721 Hai H = 747 Ha: u> 721 (claim) Hai u = 721 (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. O A. O B. OC. Fail to reject Ho- Fail to reject Ho- Fail to reject Ho- Reject H- Reject Hg- Reject Ho Reject Ho- (c) Identify the standardized test statistic. Use technology. (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. O A. Reject Ho. There is sufficient evidence to reject the claim that mean bulb O B. Reject Ho. There is not sufficient evidence to reject the claim that mean life is at least 747 hours. bulb life is at least 747 hours. OC. Fail to reject Hn. There is sufficient evidence to reject the claim that O D. Fail to reject Hn. There is not sufficient evidence to reject the claim that mean bulb life is at least 747 hours. mean bulb life is at least 747 hours.

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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Question

light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least

747

hours. A random sample of

light bulbs has a mean life of

721

hours. Assume the population is normally distributed and the population standard deviation is

hours. At

α=0.02,

do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e).

A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 747 hours. A random sample of 29 light bulbs has a
mean life of 721 hours. Assume the population is normally distributed and the population standard deviation is 58 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: H2747 (claim)
Hai H< 747
O B. Ho: u> 747
Hai us 747 (claim)
OC. Ho:H< 721 (claim)
Hại H2 721
O D. Ho: H= 747(claim)
O E. Ho: Hs 721
H3: u> 721 (claim)
OF. Ho:H = 721
H3i u z 721 (claim)
Hạ: u = 747
(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.
O A.
OB.
OC.
Fail to reject Ho-
Fail to reject Ho-
Fail to reject Ho-
Reject H.-
Reject Hg-
Reject Ho
Reject Ho-
(c) Identify the standardized test statistic. Use technology.
(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.
O A. Reject Ho. There is sufficient evidence to reject the claim that mean bulb
O B. Reject Ho. There is not sufficient evidence to reject the claim that mean
life is at least 747 hours.
bulb life is at least 747 hours.
OC. Fail to reject Hn. There is sufficient evidence to reject the claim that
O D. Fail to reject Hn. There is not sufficient evidence to reject the claim that
mean bulb life is at least 747 hours.
mean bulb life is at least 747 hours.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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