Question: 1. For this question, round the answer to 2 decimal places: In a survey of women in a certain country (ages 20-29), the mean height

1. For this question, round the answer to 2 decimal places:

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 inches. (Round to two decimal places as needed.) X Standard Normal Table (Page 1) 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. 0.80.78810.79100.79390.79670.79950.80230.80510.80780.81 - 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 -2.10.01430.01460.01500.01540.01580.01620.01660.01700. 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. 2.10.98210.98260.98300.98340.98380.98420.98460.98500.98 - 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. 2.50.99380.99400.99410.99430.99450.99460.99480.99490.99 - 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. 3.1 0.99900.99910.99910.99910.99920.99920.99920.99920.99 - 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. 3.30.99950.99950.99950.99960.99960.99960.99960.99960.99 - 0.0 0.46410.46810.47210.47610.48010.48400.48800.49200. 3.40.99970.99970.99970.99970.99970.99970.99970.99970.99 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 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 O 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? (o) What response represents the rst quartile? (a) The response that represents the 90th percentile is D. (Round to two decimal places as needed.) The per capita energy consumption level (in kilowatt-hours) in a certain country for a recent year can be approximated by a normal distribution, as shown in the figure. (a) What consumption level represents the 4th percentile? H = 2290 KWh 6 = 591.1 KWI (b) What consumption level represents the 20th percentile? (c) What consumption level represents the third quartile? X 290 2290 4290 Kilowatt-hours (a) The consumption level that represents the 4th percentile is kilowatt-hours. (Round to the nearest integer as needed.)

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