Q2. A random sample of 35 people is selected in Netherlands and it is found that a typicalperson drinks 70 liters of beer per year. The standard deviation of the yearly beer consumptionis estimated as 5. Under the assumption that beer consumption is normally distributeda)b)tinan 70 by setting a=0.01. State your conclusion also in words.c)hypothesis testing and confidence interval.d)the type 2 error probability using a significance level of 0.01.Construct 99% confidence interval for the mean beer consumption.Test the alternative hypothesis that average beer consumption is differentBased on your answers in part (a) and (b), comment on the relation betweenSuppose that in reality, the average beer consumption is 82 liters. Calculate Table A.3 (continued) Areas under the Normal Curve.00.01.02.03.04.05.06.07.08.09Table A.4 Critical Values of the t-Distribution0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.52790.55170.5319 0.53590.10.10.5398 0.54380.54780.55570.55960.5636 0.56750.57140.57530.400.300.200.150.100.050.0250.20.5793 0.5832 0.5871 0.5910 0.5948 0.59870.6026 0.60640.6103 0.61413.0781.8860.30.61790.6217 0.6255 0.6293 0.63310.6368 0.6406 0.64430.6480 0.651710.3250.7271.3761.9636.31412.7061.3861.2501.1901.1560.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.68080.68440.687920.2890.6171.0612.9204.3030.2770.5840.9780.9413.1822.77631.6382.3530.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.71570.7324 0.7357 0.7389 0.7422 0.7454 0.74860.7190 0.72240.75170.50.691540.2710.5691.5332.1320.6 0.7257 0.72910.75800.75490.2670,5590.9201.4762.0152.5710.70.7611 0.7642 0.7673 0.7704 0.77340.7764 0.77940.7823 0.78520,9060.8961.1341.1191.1080.8 0.78810.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.81336.0.2650.5531.4401.9432.4470.2630.2620.5490.5462.3652.3060.9 0.8159 0.81860.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.83891.4151.8950.8890.88381.3971.8601.00.84130.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.85770.8599 0.86210.2610.5431.1001.3831.8332.2620.8686 0.8708 0.8729 0.8749 0.8770 0.87901.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.90151.10.86430.86650.8810 0.8830100.2600.5420.8791.0931.3721.8122.2280.5400.539110.2601.0881.3630.8760.8731.7962.2012.1792.1601.30.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.91470.9162 0.91771.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319120.2591.0831.3561.7821.3501.3451.341130.2590.5380,8701.0791.7711.50.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.94180.9429 0.94411.0761.074140.2580.5370.8681.7612.1451.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.95250.9564 0.9573 0.9582 0.9591 0.9599 0.96080.9664 0.9671 0.96780.9535 0.9545150.2580.5360.8661.7532.1310.96250.96990.9756 0.97611.70.95540.96160.96330.2580.2571.3371.3331.3301.3281.3251.8 0.96410.96490.96560.9686 0.96930.9706160.5350.8651.0711.7462.1201.0691.0672.1102.1012.0932.0861.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.97500.9767170.5340.8631.740180.2570.5340.8621.7342.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.98080.98120.9817190.2570.5330.8611.0661.7292.1 0.98210.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.98500.9854 0.9857200.2570.5330.8601.0641.7250.9864 0.9868 0.9871 0.9875 0.9878 0.98810.99012.2 0.98610.9884 0.9887 0.98901.3231.3211.319210.2570.5320.8591.0631.7212.0802.32.4 0.9918 0.99200.9893 0.98960.98980.9913 0.99160.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.99360.9904 0.9906 0.9909 0.99110.5320.5320.5311.0611.060220.8582.0742.0692.0642.0600.99220.2561.717230.2560.8581.7142.50.99380.99400.99410.9943 0.9945 0.9946 0.9948 0.99490.99510.9952240.2560.8571.0591.3181.7112.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.99620.9963 0.9964250.2560.5310.8561.0581.3161.7080.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.99740.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.99810.99812.71.7061.7031.7011.699260.2560.5310,8561.0581.3151.3141.3131.3111.3102.0562.0522.0482.0452.80.8550.8550.8540.8542.90.9982 0.99820.99830.9984 0.9984 0.9985 0.9985 0.9986 0.9986270.2560.5311.0571.0561.055280.2560.5303.00.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.99890.99890.9990 0.9990290.2560.5303.10.99900.99910.99910.99910.9992 0.9992 0.9992 0.99920.9993 0.9993300.2560.5301.0551.6972.0423.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.99950.99950.99951.3031.2961.289400.2550.5290.8511.0501.6842.0210.99960.9997 0.99983.30.99950.99950.99950.9996 0.99960.99960.9996 0.99960.999760.2540.254600.5270.8482.0001.9803.40.99970.99970.99970.9997 0.99970.99970.9997 0.99971.0451.6711200.5260.8451.0411.6588,0.2530,5240.8421.0361.2821.6451.960

Name: Q2. A random sample of 35 people is selected in Netherlands and it is
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Q2. A random sample of 35 people is selected in Netherlands and it is found that a typical person drinks 70 liters of beer per year. The standard deviation of the yearly beer consumption is estimated as 5. Under the assumption that beer consumption is normally distributed Construct 99% confidence interval for the mean beer consumption. Test the alternative hypothesis that average beer consumption is different а) b) than 70 by setting a=0.01. State your conclusion also in words. c) hypothesis testing and confidence interval. d) Based on your answers in part (a) and (b), comment on the relation between Suppose that in reality, the average beer consumption is 82 liters. Calculate the type 2 error probability using a significance level of 0.01.

Q2. A random sample of 35 people is selected in Netherlands and it is found that a typical person drinks 70 liters of beer per year. The standard deviation of the yearly beer consumption is estimated as 5. Under the assumption that beer consumption is normally distributed Construct 99% confidence interval for the mean beer consumption. Test the alternative hypothesis that average beer consumption is different а) b) than 70 by setting a=0.01. State your conclusion also in words. c) hypothesis testing and confidence interval. d) Based on your answers in part (a) and (b), comment on the relation between Suppose that in reality, the average beer consumption is 82 liters. Calculate the type 2 error probability using a significance level of 0.01.

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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