B1. Battery packs in electric go-carts need to last a fairly long time. The runtimes (time untilit needs to be recharged) of the battery packs made by a particular company are Normallydistributed with a mean of 2 hours and a standard deviation of 20 minutes.a) What percentage of these battery packs lasts longer than 3 hours?b) What is the third quartile for the run-time distribution?c) Battery packs that have a runtime in the highest 10% of the run-time distribution arehighly sought after by go-cart drivers. How long does the battery pack have to last forit to fall in this highly sought-after class?2.12.2TABLE A Standard Normal probabilities (continued)Z.010.0.50400.154380.258320.3.62170.4.65910.5.69500.6.72910.7.76110.8.79100.9.81861.0.84381.1.866-51.2.88691.31.41.51.61.71.81.92.02.32.42.52.62.72.82.93.0Table entry for z is the area underthe standard Normall curve to theleft of z.3.13.23.33.4.00.5000.5398.5793.6179.6554.6915.7257.7580.7881.8159.84138643.8849.9032.9192.93329452.9554.96419713.9772.9821.9861.98939918.9938.9953.9965.9974.9981.998-7.9990.9993.9995.99979049.9207.9345.946-3.9564.964997199778.98269864.9896.9920.9940.9955.9966.9975.99829987.9991.9993.9995.9997.02.5080.54785871.6255.6628.6985.7324.7642.7939.8212.8461.8686.8888.9066.9222.03.5120.55175910.6293.6664.7019.7357.7673.7967.8238.8485.8708.8907.9082.9236.93-70.9484.9582.9664.97329788.9834.9357.9474.9573.9656.9726978:3.983098689871.9898 .990199229925.99419956.9967.9976.99829987.99919994.9995.9997.99439957Probability.9968.9977.9983.9988.9991.999.4.99969997.04.5160.55575948.6331.6700.7054.7389.7704.7995.8264.8508.8729.8925.909-9.9251.9382.9495.9591.9671.9738.9793.9838.9875.9904.9927.9945.9959.9969.9977.9984.9988.9992.9994.9996.9997.05.5199.55965987.6368.6736.7088.7422.7734.8023.8289.8531.8749.89449115.9265.9394.9505.9599.96789744.9798.98429878.99069929.99469960.99709978.9984.99899992.9994.9996.9997.06.5239.56.36.60.26.6406.6772.7123.7454.7764.8051.8315.85.54.8770.89629131.92799406.9515.9608.9686.9750.980398469881.99099931.9948.9961997199799985.9989.9992.9994.9996.9997.07.5279.5675.6064.6443-6808.7157.7486.7794.8078.8340.8577.8790.89.80.9147.9292.9418.9525.9616.9693.9756.9808.98.50.98.84.9911.99.32.085319.5714-6-103-6480-6844-719075177823.8106.8365.8599-8810.8997.9162.9306942995.35.9625.9699.9761981298.5498.87.99139934.9951.9963.9949.9962.9972.9973.9979.99.80.9985.99.86.9989.9990.9992 .9993.9995.9995.9996.9996.9997.9997.109.5.359.5753.6141.6517.6879.7224.7549.7852.8133.8.389.8621.8830.9015.9177.9319.9441.9.545.9633.9706.976798179.857.9.890.9916.9936.9952.9964.9974.9981.9986.9990.9993.9995.9997.9998 TABLE B Random digitsLine101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150192237367645467527119559268417827396094036009384488148659636625684514961041144593816773190958573547671487138735458071035967469692743909156893675969051050076873245740278166692508421536456683155588129759676772829885656296419687376095497300694715460751195034471507170938889940073501357890720241936548789694878880470206329927768426056985323253307118559720998481598815070900112149199319947714227589846481716632552594180778416556584475366812689089940413258359645023242628881451263359057862780597705233889150575699400775589307469971155292080717868154121833860513046344032575730943223142462183044708766439421290779505227102433673782336089253300656568288871748119484292655611832939100773776142140772707081304823822978921779783083578576696788737196645394641267Table entry for p and C is thecritical value !" with probability plying to its right and probability Clying between -t" and t".TABLE D † distribution critical valuest2871301927000956022791481727654751124943396382469709297711970369966280247098037170632296699209965850148639090856027494977186874192643591437422913095171487308796333022133778458287444783621558410984514496012634084937669453958068340174351654416874316853964092775432863400116077985089816766179085453393640041219352710800381973698651032341784407588060426661683735925589272719184427756740085133521863884534041974316507051352131120675592126094778143563723219459177919617624610909931607054750020903724608456912531426482948585848537915706755300906564681642006712387308922553562021452662253261859078566979354354705275186330639675835119887411692549367543030648985576937399362337741198760856315373335865693481940651944457516953595050215002384845526237127601793674254482425822264876717297502119438387964834857668827649848981148602938318935049041448659569862443742622248713641842276116210348409851178198200795872014519531685181320431287151791409848179177483940036050842248708860469680431639059719909227254540332337Probability p8285336290900565257359335474871489318883419790870839950457851177670915325926118175532863828482611937510259576181868915963924441903360718720908727972459656597150095476850831260924541459206928517190242853372041781272400900586369360067181533408869203316df.0025.001.00052.602Upper-tail probability p.25 .20 .15 .10 .05 .025 .02 .01 .0051 1.000 1.376 1.963 3.078 6.314 12.71 15.89 31.82 63.66 127.3 318.3 636.62 0.816 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.09 22.33 31.603 0.765 0.978 1.250 1.638 2.353 3.182 3.482 4.541 5.841 7.453 10.21 12.924 0.741 0.941 1.190 1.533 2.132 2.776 2.999 3.747 4.604 5.598 7.173 8.6105 0.727 0.920 1.156 1.476 2.015 2.571 2.757 3.365 4.032 4.773 5.893 6.8696 0.718 0.906 1.134 1.440 1.943 2.447 2.612 3.143 3.707 4.317 5.208 5.9597 0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 4.029 4.785 5.4088 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.3553.833 4.501 5.0419 0.703 0.883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 3.690 4.297 4.78110 0.700 0.879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 3.581 4.144 4.58711 0.697 0.876 1.088 1.363 1.796 2.201 2.328 2.718 3.106 3.497 4.025 4.43712 0.695 0.873 1.083 1.356 1.782 2.179 2.303 2.681 3.055 3.428 3930 4.31813 0.694 0.870 1.079 1.350 1.771 2.160 2.282 2.650 3.012 3.372 3.852 4.22114 0.692 0.868 1.076 1.345 1.761 2.145 2.264 2.624 2.977 3.326 3.787 4.14015 0.691 0.866 1.074 1.341 1.753 2.131 2.2492.947 3.286 3.733 4.07316 0.690 0.865 1.071 1.337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.01517 0.689 0.863 1.069 1.333 1.740 2.110 2.224 2.567 2.898 3.222 3.646 3.96518 0.688 0.862 1.067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 3.611 3.92219 0.688 0.861 1.066 1.328 1.729 2.093 2.205 2.539 2.861 3.174 3.579 3.88320 0.687 0.860 1.064 1.3252.845 3.153 3.552 3.85021 0.686 0.859 1.063 1.3232.8313.135 3.527 3.81922 0.686 0.858 1.061 1.3212.819 3.119 3.505 3.79223 0.685 0.858 1.060 1.319 1.714 2.069 2.177 2.500 2.807 3.104 3.485 3.76824 0.685 0.857 1.059 1.318 1.711 2.064 2.172 2.492 2.797 3.091 3.467 3.74525 0.684 0.856 1.058 1.316 1.708 2.060 2.167 2.485 2.787 3.078 3.450 3.72526 0.684 0.856 1.058 1.315 1.706 2.056 2.162 2.479 2.779 3.067 3.435 3.70727 0.684 0.855 1.057 1.314 1.703 2.052 2.1582.473 2.771 3.057 3.421 3.69028 0.683 0.855 1.056 1.313 1.701 2.048 2.154 2.467 2.763 3.047 3.408 3.67429 0.683 0.854 1.055 1.311 1.699 2.045 2.150 2.462 2.756 3.038 3.3963.6590.683 0.854 1.055 1.310 1.697 2.042 2.147 2.457 2.750 3.030 3.385 3.6460.681 0.851 1.050 1.303 1.684 2.021 2.123 2.423 2.704 2.971 3.307 3.551500.679 0.849 1.047 1.299 1.676 2.009 2.109 2.403 2.678 2.937 3.261 3.49660 0.679 0.848 1.045 1.296 1.671 2.000 2.099 2.390 2.660 2.915 3.232 3.46080 0.678 0.846 1.043 1.292 1.664 1.990 2.088 2.374 2.639 2.887 3.195 3.416100 0.677 0.845 1.042 1.290 1.660 1.984 2.081 2.364 2.626 2.871 3.174 3.3901000 0.675 0.842 1.037 1.282 1.646 1.962 2.056 2.330 2.581 2.813 3.098 3.3002* 0.674 0.841 1.036 1.282 1.645 1.960 2.054 2.326 2.576 2.807 3.09190%98% 99% 99.5% 99.8% 99.9%1.725 2.086 2.197 2.5281.721 2.080 2.189 2.5181.717 2.074 2.183 2.50830403.29150%60%70% 80%95% 96%Confidence level C

given data, normal distribution μ= 2 hours =120 minutesσ=20 minutes we have to find out the given…

Answered: B1. Battery packs in electric go-carts…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours more than the recommended number of hours per unit? The data show the results of a survey of 11 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 2, 2.9, 4.5, 0.7, 3.3, 4.5, 4.2, 1.2, 0.9, 1.8, 2.8 What can be concluded at the αα = 0.05 level of significance? The p-value = (Please show your answer to 4 decimal places. Based on this, we should Select an answer fail to reject accept reject the null hypothesis Thus, the final conclusion is that ... The data suggest the populaton mean is significantly more than 2 at αα = 0.05, so there is enough evidence to conclude that the population mean study time per unit for statistics students is more than 2. The data suggest the population mean is not significantly more than 2 at αα = 0.05, so there is enough evidence to…
Listed below are the lead concentrations in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. Use a significance level to test the claim that the mean lead concentration for all such medicines is less than 14. 3.0,6.5,6.0,5.5,20.5,7.5,12.0,20.5,11.5,17.5
Do rats take less time on average than hamsters to travel through a maze? The table below shows the times in seconds that the rats and hamsters took. Rats: 36, 35, 22, 42, 25, 14, 31, 14 Hamsters: 41, 37, 12, 46, 39, 46, 38, 45, 27, 29 Assume that both populations follow a normal distribution. What can be concluded at the a = 0.05 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v Select an answer v (please enter a decimal) H: Select an answer v Select an answer v Select an answer v (Please enter a decimal) b. The test statistic (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ? ♥ a e. Based on this, we should Select an answer f. Thus, the final conclusion is that ... the null hypothesis. O The results are statistically insignificant at a = 0.05, so there is statistically…
. A process that cuts lengths of metal with high precision has historically produced metal rods with length that is normally distributed and with a mean of 800 millimetres (mm). Management at the factory is concerned that after an overhaul of the machine the mean length of the rods being produced could differ from the required 800 mm. If it is found that the rods are not being produced to specifications then the machine will have to be stopped for readjustment, with a consequent loss of production. The production line manager tasked with investigating the issue finds that a (random) sample of 25 rods yielded a mean length of 806 mm and a sample standard deviation of 10 mm. i. The mean of the sample is clearly not the required 800 mm. Say why this is not enough information in itself to say if the machine is operating correctly or not. ii. State the null and alternative hypotheses for this situation.
Do rats take the same amount of time on average than hamsters to travel through a maze? The table below shows the times in seconds that the rats and hamsters took. Rats: 31, 26, 35, 34, 31, 39, 39, 6 Hamsters: 36, 35, 16, 29, 20, 25, 28, 37 Assume that both populations follow a normal distribution. What can be concluded at the a = 0.05 level of significance level of significance? For this studv, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v Select an answer V (please enter a decimal) H1: Select an answer v Select an answer v v (Please enter a decimal) Select an answer b. The test statistic ?v= (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ? va e. Based on this, we should Select an answer v the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically insignificant at a = 0.05, so there is…
According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours different from the recommended number of hours per unit? The data show the results of a survey of 16 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 1.5, 2, 2.9, 3.8, 4.6, 1.1, 1.8, 2.6, 1.4, 2.8, 4.5, 1.2, 1, 0.7, 3, 1.2 What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer < ≠ = > H1:H1: ? p μ Select an answer < ≠ = > The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer reject fail to…
14. IQ test scores are standardized to produce a normal distribution with a mean of u = 100 and a standard deviation of o =15. Find the proportion of the population in each of the following IQ categories. a. Genius or near genius: IQ greater than 140 b. Very superior intelligence: IQ between 120 and 140 c. Average or normal intelligence: IQ between 90and 109 %D debit BankMobile
According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours more than the recommended number of hours per unit? The data show the results of a survey of 12 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 1.2, 4.3, 4.5, 1.4, 1.5, 2.7, 1.8, 2.4, 1.3, 2, 2.2, 1.3 What can be concluded at the αα = 0.05 level of significance? A. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly more than 2 at αα = 0.05, so there is enough evidence to conclude that the population mean study time per unit for statistics students is more than 2. The data suggest the population mean is not significantly more than 2 at αα = 0.05, so there is enough evidence to conclude that the population mean study time per unit for statistics students is equal to 2. The data suggest that the population mean study time per…
10. A recent medical study reported that blood pressure (diastolic type) for males in the 20 to 29 years-old range is approximately normally distributed with an mean of 91.7 and a standard deviation of 10.5. Using these numbers: a. What is the proportion of males in this age range with blood pressure greater than 100? b. What is proportion of males in this age range with blood pressure that is between 80 and 100? c. What are the Q1 and Q3 values?
Pavan.88.9

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS