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1Friday24.5Friday23.2FridaySaturdaySundayFridayFriday24.524.524.919.1Lowest23.2STDEV0.5904547757Friday23.623.224.120.6Highest25.6Friday23.624.524.220.1mean24.0328947368Friday25.323.623.920.9median23.9Friday23.423.623.719.7SaturdayFriday25.325.324.320.6Lowest22.5STDEV1.1129400751Friday24.823.423.320.8Highest29.9Friday24.625.323.119.4mean23.7185714286Friday24.324.823.219.8median23.5Friday23.424.626.120.1SundayFriday23.324.322.620.7Lowest190.5586441921Friday24.923.429.920.1Highest20.9Friday23.323.324.119.4mean19.8571428571Friday24.724.923.720.3median19.8Friday23.823.322.519.5Friday2424.723.520.3a. Method: direct observationFriday24.423.82320.7Friday23.52425.719.5b. In all three cases the mean value of the data is slightly greater than the median, which show that each case is positive, or right-skewedFriday25.624.423.519.6The skewness values are as follows: Saturday 2.9, Friday 0.4, Sunday 0.3Friday24.923.522.919.9This shows that the data collected on Saturday is much more skewed than the data collected on Friday and SundayFriday23.325.62319.9Friday23.324.923.419.3c. Oulier:29.9(z=10.47 out of (-3;3)SaturdayFriday24.123.322.619.3Friday23.823.324.119Friday24.424.122.819.2d.Friday2423.823.320.9Critical Z values for all comparisons are +1.96 and -1.96Friday24.124.422.819.2Friday23.82423.720.4Friday vs. SaturdayFriday24.524.12319Friday24.523.824.119.4Obtained Z2.1057088366Statistically DifferentFriday23.424.523.619.7Greater than Critical ZFriday24.124.52320.4Saturday vs. SundayStatistically DifferentFriday23.323.423.319.4Greater than Critical ZFriday23.724.123.220Obtained Z36.8905025605Friday24.923.324.120.6Friday2423.723.919.6Sunday vs. FridayStatistically DifferentFriday23.224.923.820.1Less than Critical ZFriday23.72423.820.4Obtained Z-3.0029157847Friday24.723.223.219.2Friday23.923.723.819.1Friday24.724.723.419.9Friday23.323.923.220.1Friday23.524.723.519.7Friday23.623.323.319.4Friday23.323.523.119.9Friday24.623.623.220.6Friday23.723.326.119.3Friday24.724.622.619.4Friday24.323.722.619.5Friday24.524.724.1Friday24.124.323.7Friday24.124.522.5Friday23.724.123.5Friday24.224.123Friday23.823.725.7Friday24.524.223.5Friday24.823.822.9Friday23.924.522.9Friday23.824.823.2Friday23.723.924.9Friday24.723.824.1Friday23.623.724.2Friday23.724.723.9Friday23.323.623.7Friday23.423.724.3Friday23.823.323.3Friday24.723.423.1Friday23.923.825.7Friday24.724.723.5Friday23.323.922.9Friday23.524.7Friday23.623.3Friday23.323.5Friday24.623.6Saturday22.923.3Saturday23.224.6Saturday24.9Saturday24.1Saturday24.2Saturday23.9Saturday23.7Saturday24.3Saturday23.3Saturday23.1Saturday23.2Saturday26.1Saturday22.6Saturday29.9Saturday24.1Saturday23.7Saturday22.5Saturday23.5Saturday23Saturday25.7Saturday23.5Saturday22.9Saturday23Saturday23.4Saturday22.6Saturday24.1Saturday22.8Saturday23.3Saturday22.8Saturday23.7Saturday23Saturday24.1Saturday23.6Saturday23Saturday23.3Saturday23.2Saturday24.1Saturday23.9Saturday23.8Saturday23.8Saturday23.2Saturday23.8Saturday23.4Saturday23.2Saturday23.5Saturday23.3Saturday23.1Saturday23.2Saturday26.1Saturday22.6Saturday22.6Saturday24.1Saturday23.7Saturday22.5Saturday23.5Saturday23Saturday25.7Saturday23.5Saturday22.9Saturday22.9Saturday23.2Saturday24.9Saturday24.1Saturday24.2Saturday23.9Saturday23.7Saturday24.3Saturday23.3Saturday23.1Saturday25.7Saturday23.5Saturday22.9Sunday19.1Sunday20.6Sunday20.1Sunday20.9Sunday19.7Sunday20.6Sunday20.8Sunday19.4Sunday19.8Sunday20.1Sunday20.7Sunday20.1Sunday19.4Sunday20.3Sunday19.5Sunday20.3Sunday20.7Sunday19.5Sunday19.6Sunday19.9Sunday19.9Sunday19.3Sunday19.3Sunday19Sunday19.2Sunday20.9Sunday19.2Sunday20.4Sunday19Sunday19.4Sunday19.7Sunday20.4Sunday19.4Sunday20Sunday20.6Sunday19.6Sunday20.1Sunday20.4Sunday19.2Sunday19.1Sunday19.9Sunday20.1Sunday19.7Sunday19.4Sunday19.9Sunday20.6Sunday19.3Sunday19.4Sunday19.5

2Population80000002mean of B life77a2.99%Std Dev16b41599.9999999999new Std Dev15c45448000.0000001Deffective batery190d40736000.0000001Warranty36eLife span of battery mostly denpend on the distance what automobile can run Distribution area of Deffective bateryZ value (36 month)-2.562599.48%Z value (48 month)-1.812596.49%new Z value (48 month)-1.933333333397.32%

3SonoranMinnesotaNormal Battery5854average lifespan of batterie under Minnesota condition52.73529411765752average lifespan of batteries under Sonoran condition56.5526315789Average77555558575958A. 616063635954Note: Using a two-tailed Z test (since n > 30 for each case)64585455alpha0.05Critical Z1.965252-1.965448SonoranMinnesota59466041X bar56.5526315789X bar52.735294117662624145mu 077mu 07748544444s6.4836483241s8.38580627494946n38n345051sqrt n6.164414003sqrt n5.830951894855566561Obtained Z-19.440604721Obtained Z-16.872120354872327049623755606158Answer:The Obtained Z value of -19.44 for the Sonoran test is within the Critical Region.54555957The Obtained Z value of -16.87 for the Minnesota test is within the Critical Region.52515055In both cases the null hypothesis is rejected, which means that we can be 4954fairly certain that the batteries operating in both the Sonoran and Minnesota Tunda5138conditions have lives that are statistically different than 77 months.557554565963

4AskingSellingDays40000033500087a. Type of "Asking Price" data : Unifrom35000029500025b. Conduct hypothesis test399000320000131Selling Price > 375000389000335000422Ho: mu 375000(Alternate hypothesis)43500035000050This is one tail test415000355000243750003250009Have-7.7440000032000033Need1.64reject Ho3750003100008ConclusionFail to reject Null, we don't have enough evidence that mean of Selling price is more than 37500041500035000037so, mean of Selling Price is less than or equal to 375000385000345000843500038000037mean338117.6542900034000026Std dev27781.3636900031000057n3436000031000021test statistic34500030000017z-7.741134041142000034000041Alpha0.054390003500007140500034900030c. 98% of interval confident39600032000039n3437900031500031mean (days)3037500032500035Std dev17.842747444445900038500032Z2.336900032000027Upper37.038013666142900036000019Lower22.9619863339475000430000338500033700024We are 98% confident that the true population mean number of days properties spend on the market fall between 37 to 23 days4050003400002141500034500043d.39700035000017339000295000323950003350003543900038000016

5Photographya.12.95.1This data's mean is slightly higher than its median, which shows that it is 8right-skewed (this is also shown by its skewness value). 11.9 noteworthy thing: 13.8the shape like Bimodal Distribution9.68.710.2b.8.7sample mean10.384782608712.1Sample Std dev3.686027516612.714.2c14.5Prob 10.514.70.5124680580.4875319427.39.648.75% of the samples will have a mean greater than 10.5 minutes.12.914.8d.Conduct a hypothesis test to determine if the true population mean sitting time is greater than 10 minutes4.8alpha 0.05mu1012.513.4Average10.3847826087Z1.001269011713.13.5STDEV3.6860275166p0.315915.312.7H0: mu = 10Since the 1.001 1018The null hypothesis for this problem states that the mean sitting time is equal to 9 minutes11.1n927.4The alternative hypothesis for this problem states that the mean sitting time is greater than 9 minutes7.38.86.2e. What is the 93% confidence interval for the population mean1612.3alpha 0.058.414Average10.384782608714The 93% confidence ranges from 9.7 minutes to 11 minutes. This means that we can be6.2STDEV3.686027516693% that the mean sitting time falls within that range.5.813.3n9214.24.9Z1.815.48.7upper11.080356439114.616.1lower9.689208778314.212.64.9f. A confidence interval on the population mean has been calculated as (10.9120709, 9.85749436). What level of confidence was used to calculate this interval9.6L9.857494367.16.5U10.91207095.97.112.8z1.37209274640.914715.112.9An 83% Level of Confidence was used for the calculation in Part F16.19.25.57.97.88.96.19.58.96.57.75.79.25.95.74.67.58.25.76.5128.614.616.114.212.61313.213.613.413.98.417.18.5

6Randomly length of prisons'sentences in Florida (month)268mean159.17360Std dev108.41300n12115Z1.96180180Upper220.50484279360Lower97.82849054032418a. We are 95% confident that the true population mean of length of sentences fall between 97.8 to 220.5 month189b.96Alpha0.05120Test Statistic1.64minimum average sentence length you could test at which youd reject the null hypothesis at alpha = .05need Z= 1.64267.3237800241

7Television540583403533448567579577564494Upper571.0344666667549Lower509.4055333333419z1.96464In the past (hour)618562750We are 95 % confidence that the statistic data of TV usage in 2004 is between 509 and 571, but in the past the average TV usage is 618 min. As a result, we can conclude that there is the decline in the population mean TV on time.661597640570270514537533466530448577564490548419463562762668597

8ChicagoSan DiegoMiamiTwin CitiesChicagoSan DiegoMiamiTwin Cities695339239557Average 519.19435.1030927835419.6421052632525.3232323232453492496562STDEV75.613810800967.913775685365.782186651359.7152816531499310437607Variance5717.44838383844612.2809278354327.29608062713565.9148629148569402312607n100979599404506420507551469507533569379404508Note: Using an two-tailed Independent Samples Z test to make all comparisons551581392539Alpha0.05Z1.96484374321416620381489498537540388498Obtained Z Values For Each Comparison500476449595C vs. SanSan vs. MiMi vs. TC4723873544168.21685723531.6023704179-11.7012609688547401307568C vs. MiSan vs. TC5404805444609.8218674911-9.8691978008593445379530C vs. TC415511393456-0.6353248538478487414546443436474627There are statistical differences between the following sets of cities:5313344435224904463815841Chicago and Sanfrancisco5034665094996723833876182Chicago and Miami5213673415554963334005403Sanfrancisco and the Twin Cities5164073894954183794054774Miami and the Twin Cities598331389599509431494506550398489528525489423537494471420430669445530530616415463563457465549560545499446531372386487522446369382417483372384613452517368495643566457573372464366473569350383470430437393563558539454535500524399450615510365515456532375579541507398514585442280532446428504471359384345512448323488452572331448570571346459481434381552555519497470469565499440533700434336456608383402436467387363497498445523472556406380602577407438404507357538485503521378602608435332498397404440561379386347559552470516515506382605662488388356468586590505650659478404580572385455467453553370396464416437463483381409577488491446585457415404473639478456617591236328476411525419534521384398534534413416572428491350651466433359509524508401505528360488574493467379536454486343482531459477471495544419439454506412545495410463492483409678495423538709515635533559

9People1000A.headed in the right directionB.Male480Exact Confidence IntervalCell Phone350n1000p hat0.22S220p10.22X1220headed in the right direction220dfLN1562F1F1n11000pi1dfLD440L0.2197802198p20.35CI0.95X2350dfUN442U0.2207792208n21000alpha0.05pi2dfUD1560P Bar0.285Critical Z1.96-1.96Approximate Confidence IntervalUsing Z valuesZ STAT-6.507324863p hat0.22U0.2456752519Answer:Using the .05 level of significance, we reject the null hypothesisbecause -1.99205 is less than the Critical Z value of -1.96.Z1.96L0.1943247481There is evidence to conclude that the feelings of adult Americans havechanged in the one-year timeframe.q hat0.78Answer:n1000Confidence Interval on the difference in proportionsThe approximate 95% Confidence Interval for this data is .2456 to .194325p1 - p2-0.13plus0.0391558752minus-0.1691558752