1. Please answer only B:

In a survey of women in a certain country (ages 20 -29), the mean height was 63.6 inches with a standard deviation of 2.65 inches. Answer the following questions about the specified normal distribution. a) What height represents the 95th percentile? (b) What height represents the first quartile? Click to view page 1 of the table. Click to view page 2 of the table. (a) The height that represents the 95th percentile is 67.96 inches. (Round to two decimal places as needed.) (b) The height that represents the first quartile is |inches. (Round to two decimal places as needed.) Standard Normal Table (Page 1) - X Standard Normal Table (Page 2) X Z 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0 Z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.0 -3.40.00020.00030.00030.00030.00030.00030.00030.00030. 0.0 0.50000.50400.50800.51200.51600.51990.52390.52790.53 - 3.30.00030.00040.00040.00040.00040.00040.00040.00050. 0.10.53980.54380.54780.55170.55570.55960.56360.56750.57 - 3.20.00050.00050.00050.00060.00060.00060.00060.00060. 0.20.57930.58320.58710.59100.59480.59870.60260.60640.61 - 3.1 0.00070.00070.00080.00080.00080.00080.00090.00090. 0.30.61790.62170.62550.62930.63310.63680.64060.64430.64 - 3.0 0.00100.00100.00110.00110.00110.00120.00120.00130.( 0.40.65540.65910.66280.66640.67000.67360.67720.68080.68 -2.90.00140.00140.00150.00150.00160.00160.00170.00180. 0.50.69150.69500.69850.70190.70540.70880.71230.71570.71 - 2.80.00190.00200.00210.00210.00220.00230.00230.00240. 0.60.72570.72910.73240.73570.73890.74220.74540.74860.75 -2.70.00260.00270.00280.00290.00300.00310.00320.00330. 0.7 0.75800.76110.76420.76730.77040.77340.77640.77940.78 - 2.60.00360.00370.00380.00390.00400.00410.00430.00440. 0.8 0.78810.79100.79390.79670.79950.80230.80510.80780.81 - 2.50.00480.00490.00510.00520.00540.00550.00570.00590. 0.90.81590.81860.82120.82380.82640.82890.83150.83400.83 - 2.40.00640.00660.00680.00690.00710.00730.00750.00780. 1.0 0.84130.84380.84610.84850.85080.85310.85540.85770.85 - 2.30.00840.00870.00890.00910.00940.00960.00990.01020. 1.10.86430.86650.86860.87080.87290.87490.87700.87900.88 -2.20.01100.01130.01160.01190.01220.01250.01290.01320. 1.20.88490.88690.88880.89070.89250.89440.89620.89800.89 - 2.1 0.01430.01460.01500.01540.01580.01620.01660.01700. 1.30.90320.90490.90660.90820.90990.91150.91310.91470.91 - 2.0 0.01830.01880.01920.01970.02020.02070.02120.02170. 1.40.91920.92070.92220.92360.92510.92650.92790.92920.93 -1.90.02330.02390.02440.02500.02560.02620.02680.02740. 1.50.93320.93450.93570.93700.93820.93940.94060.94180.94 - 1.80.02940.03010.03070.03140.03220.03290.03360.03440. 1.60.94520.94630.94740.94840.94950.95050.95150.95250.95 -1.70.03670.03750.03840.03920.04010.04090.04180.04270. 1.70.95540.95640.95730.95820.95910.95990.96080.96160.96 - 1.60.04550.04650.04750.04850.04950.05050.05160.05260. 1.80.96410.96490.96560.96640.96710.96780.96860.96930.96 - 1.50.05590.05710.05820.05940.06060.06180.06300.06430. 1.90.97130.97190.97260.97320.97380.97440.97500.97560.97 1.40.06810.06940.07080.07210.07350.07490.07640.07780. 2.0 0.97720.97780.97830.97880.97930.97980.98030.98080.98 - 1.30.08230.08380.08530.08690.08850.09010.09180.09340. 2.1 0.98210.98260.98300.98340.98380.98420.98460.98500.98 1.20.09850. 10030. 10200. 10380. 10560. 10750. 10930.11120. 2.20.98610.98640.98680.98710.98750.98780.98810.98840.98 - 1.10.11700.11900.12100.12300.12510.12710. 12920.13140. 2.30.98930.98960.98980.99010.99040.99060.99090.99110.99 - 1.00.13790.14010.14230. 14460. 14690. 14920.15150.15390. 2.40.99180.99200.99220.99250.99270.99290.99310.99320.99 - 0.90. 16110.16350.16600. 16850.17110.17360.17620.17880. 2.50.99380.99400.994 10.99430.99450.99460.99480.99490.99 - 0.80.18670.18940. 19220. 19490.19770.20050.20330.20610. 2.60.99530.99550.99560.99570.99590.99600.99610.99620.99 - 0.70.21480.21770.22060.22360.22660.22960.23270.23580. 2.70.99650.99660.99670.99680.99690.99700.99710.99720.99 - 0.60.24510.24830.25140.25460.25780.26110.26430.26760. 2.8 0.99740.99750.99760.99770.99770.99780.99790.99790.99 - 0.50.27760.28100.28430.28770.29120.29460.29810.30150. 2.90.99810.99820.99820.99830.99840.99840.99850.99850.99 - 0.40.31210.31560.31920.32280.32640.33000.33360.33720. 3.0 0.99870.99870.99870.99880.99880.99890.99890.99890.99 - 0.30.34830.35200.35570.35940.36320.36690.37070.37450. 3.10.99900.99910.99910.99910.99920.99920.99920.99920.99 - 0.20.38590.38970.39360.39740.40130.40520.40900.41290. 3.20.99930.99930.99940.99940.99940.99940.99940.99950.99 - 0.10.42470.42860.43250.43640.44040.44430.44830.45220. 3.3 0.99950.99950.99950.99960.99960.99960.99960.99960.99 -0.0 0.46410.46810.47210.47610.48010.48400.48800.49200. 3.40.99970.99970.99970.99970.99970.99970.99970.99970.99 Z 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0 Z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.0In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The mean response was 5.7 with a standard deviation of 2.2. (a) What response represents the 90th percentile? (b) What response represents the 63rd percentile? (c) What response represents the rst quartile? (a)111e response that represents the 90th percentile is 8.52 . (Round to two decimal places as needed.) (b)111e response that represents the 63rd percentile is D. (Round to two decimal places as needed.) 111e undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the gure. (a) What is the minimum UGPA that would still place a student in the top 5% of UGPAs? (b) Between what two values does the middle 50% of the UGPAs lie? Grade point average