Salaries of 40 college graduates who took a statistics course in college have a mean x, of $ 60,300. Assuming a standard deviation, o, of $12,142, construct a 99% confidence interval for estimating the population mean.$____< u > $____ лCritical t value(negative)α/2Left tailлCritical t value(negative)Right tailлTwo tailsCritical t value(positive)a/2Critical value(positive)Degrees ofFreedom2589101112131415161722888*** *8858838858894882888888888181920212324252627303133363740506070809010020030040050010002000LargeDegrees ofFreedom0.0050.0163.6579.9255.8414.6044.0323.7073.4993.3553.2503.1693.1063.0553.0122.9772.9472.9212.8982.8782.8612.8452.8312.8192.8072.7972.7872.7792.7712.7632.7562.7502.7442.7382.7332.7282.7242.71927152.7122.7082.7042.6902.6782.6602.6482.6392.6322.6262.6012.5922.5882.5862.5812.5782.5760.0050.010.010.0231.8216.9654.5413.7473.3653.1432.9982.8962.8212.7642.7182.6812.6502.6242.6022.5832.5672.5522.5392.5282.5182.5082.5002.4922.4852.4792.4732.4672.4622.4572.4532.4492.4452.4412.4382.4342.4312.4292.4262.4232.4122.4032.3902.3812.3742.3682.3642.3452.3392.3362.3342.3302,3282.3260.010.02Area in One Tail0.025Area in Two Tails0.0512.7064.3033.1822.7762.5712.4472.3652.3062.2622.2282.2012.1792.1602.1452.1312.1202.1102.1012.0932.0862.0802.0742.0692.0642.0602.0562.0522.0482.0452.0422.0402.0372.0352.0322.0302.0282.0262.0242.0232.02120142.0092.0001.9941.9901.9871.9841.9721.9681.9661.9651.9621.9611.960Area in One Tail0.025Area in Two Tails0.050.050.106.3142.9202.3532.13220151.9431.8951.8601.8331.8121.7961.7821.7711.7611.7531.7461.7401.7341.7291.7251.7211.7171.7141.7111.7081.7061.7031.7011.6991.6971.6961.6941.6921.6911,6901.6881.6871.6861.6851.6841.6791.6761.6711.6671.6641.6621.6601.6531.6501.6491.6481,6461.6461.6450.060.100.100.203.0781.8861.6381.5331.4761.4401.4151.3971.3831.3721.3631.3561.3501.3451.3411.3371.3331.3301.3281.3251.3231.3211.3191.3181.3161.3151.3141.3131.3111.3101.3091.3091.3081.3071.3061.3061.3051.3041.3041.3031.3011.2991.2961.2941.2921.2911.2901.2861.2841.2841.2831.2821.2821.2820.100.20Degrees ofFreedom234567891011121314151617181920212223242526272829303132333435363738394045506070809010020030040050010002000LargeDegrees ofFreedom -8333330.00.10.20.30.40.50.60.70.80.01.01.11.21.31.41.51.61.72222222222=2231.92.02.12.42.526272.8293.03.1.0050005300579061791999691572577580788181502413864330499032919293329452965496419713977290219061001390189938.9953996699749961998799909993999599979999000ScoreArea1.645 0.95002.5750.9950Cumulative Area from the LEFT0103504051205617501062935438583202171699695072917651791081868438366530609049920793459463956496499719977896269664989699209940995699659975998299871666999399969997"Use these common values that result from interpolation:02508054785871625506280985732476427939821284610686888890669222935794749573965697269783983098689696992299413.43.50 and up201NOTE: For values of zabove 3.49, use 0.9999 for the area.995699679076998299879991999499959997POSITIVE Z Scores102199070197357767379678238848587080907200682:36937094849582.9664.973297889834987190011925994399679968997799839988999199949996.9997030451605657504843316700705473697704799582648508.87298925909992519382949595919071973897939838987599049927994599599969997799649968.998299949996.999704.05519055005067636867367058742277342023829086313749204491159266160096069699967897448798904298789000992999346096699709978190890699992999499969997.05905230563660266406677271237454776480518315855487702062913192799406951596089686975098039846988199099931994899619971997999859989999299949996999790'0752795675606464436808715774867794807883408577879089009147929294189525961696939756960898509634991199329949 .9962997299799985998999929666999699970706531957146103648068447190751778238106836585098810899791629008942995359625.9509976198129554988799139934996199639973990099569990999399959996999790605350575361416617687972247549785281338389862188300015917793199441964596339706976708179857989099169006.99529964.997499019966.99909993.9995.9997.999860Common Critical ValuesConfidenceLevel0.900.950.99CriticalValue1.6451.962.57520.00.10.20.30.40.50.60.70.80.01.01.11.21.31.41.51.6171.81.9NENNENNSE2.021222.32.42.5262728293.03.13.23.33.43.50 and up2

According to the given information in this questionWe need to construct 99% confidence interval

Salaries of 40 college graduates who took a statistics course in college have a mean x, of $ 60,300. Assuming a standard deviation, o, of $12,142, construct a 99% confidence interval for estimating the population mean. $____< u > $____

Salaries of 40 college graduates who took a statistics course in college have a mean x, of $ 60,300. Assuming a standard deviation, o, of $12,142, construct a 99% confidence interval for estimating the population mean. $< u > $

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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