Question

What the mean and Standard Deviation (SD) of the Close column in your data set? c)...

What the mean and Standard Deviation (SD) of the Close column in your data set?

c) If a person bought 1 share of Google stock within the last year, what is the probability that the stock on that day closed at less than the mean for that year? Hint: You do not want to calculate the mean to answer this one. The probability would be the same for any normal distribution. (5 points) 0.5

  1. If a person bought 1 share of Google stock within the last year, what is the probability that the stock on that day closed at more than $1150? (5 points).
  2. If a person bought 1 share of Google stock within the last year, what is the probability that the stock on that day closed within $50 of the mean for that year? (between 50 below and 50 above the mean) (5 points)
  3. If a person bought 1 share of Google stock within the last year, what is the probability that the stock on that day closed at less than $950 per share. Would this be considered unusal? Use the definition of unusual from the course textbook that is measured as a number of standard deviations (5 points)
  4. At what prices would Google have to close in order for it to be considered statistically unusual? You will have a low and high value. Use the definition of unusual from the course textbook that is measured as a number of standard deviations. (5 points)
  5. What are Quartile 1, Quartile 2, and Quartile 3 in this data set? Use Excel to find these values. This is the only question that you must answer without using anything about the normal distribution. (5 points)
  6. Is the normality assumption that was made at the beginning valid? Why or why not? Hint: Does this distribution have the properties of a normal distribution as described in the course textbook? Real data sets are never perfect, however, it should be close. One option would be to construct a histogram like you did in Project 1 to see if it has the right shape. Something in the range of 10 to 12 classes is a good number. (5 points)
Close
1044.68994
1077.15002
1080.96997
1089.90002
1098.26001
1070.52002
1075.56995
1073.90002
1090.98999
1070.07996
1060.62
1089.06006
1116.37
1110.75
1132.80005
1145.98999
1115.22998
1098.70996
1095.06006
1095.01001
1121.37
1120.16003
1121.67004
1113.65002
1118.56006
1113.80005
1096.96997
1110.37
1109.40002
1115.13001
1116.05005
1119.92004
1140.98999
1147.80005
1162.03003
1157.85999
1143.30005
1142.31995
1175.76001
1193.19995
1193.31995
1185.55005
1184.45996
1184.26001
1198.84998
1223.96997
1231.54004
1205.5
1193
1184.62
1173.02002
1168.48999
1173.31006
1194.43005
1200.48999
1205.92004
1215
1207.15002
1203.83997
1197.25
1202.16003
1204.62
1217.87
1221.09998
1227.13001
1236.33997
1236.37
1248.83997
1264.55005
1256
1263.44995
1272.18005
1287.57996
1188.47998
1168.07996
1162.60999
1185.40002
1189.39002
1174.09998
1166.27002
1162.38001
1164.27002
1132.03003
1120.43994
1164.20996
1178.97998
1162.30005
1138.84998
1149.63001
1151.42004
1140.77002
1133.46997
1134.15002
1116.45996
1117.94995
1103.63001
1036.22998
1053.05005
1042.21997
1044.33997
1066.04004
1080.38001
1078.71997
1077.03003
1088.77002
1085.34998
1092.5
1103.59998
1102.32996
1111.42004
1121.88001
1115.52002
1086.34998
1079.80005
1076.01001
1080.91003
1097.94995
1111.25
1121.57996
1131.58997
1116.34998
1124.82996
1140.47998
1144.20996
1144.90002
1150.33997
1153.57996
1146.34998
1146.32996
1130.09998
1138.06995
1146.20996
1137.81006
1132.12
1250.41003
1239.41003
1225.14002
1216.68005
1209.01001
1193.98999
1152.31995
1169.94995
1173.98999
1204.80005
1188.01001
1174.70996
1197.27002
1164.29004
1167.26001
1177.59998
1198.44995
1182.68994
1191.25
1189.53003
1151.29004
1168.89002
1167.83997
1171.02002
1192.84998
1188.09998
1168.39002
1181.41003
1211.38001
1204.93005
1204.41003
1206
1220.17004
1234.25
1239.56006
1231.30005
1229.15002
1232.41003
1238.70996
1229.93005
1234.03003
1218.76001
1246.52002
1241.39002
1225.08997
1219
1205.09998
1176.63001
1187.82996
1209
1207.68005
1189.13001
1202.31006
1208.67004
1215.44995
1217.14002
1243.01001
1243.64002
1253.06995
1245.48999
1246.15002
1242.80005
1259.13001
1260.98999
1265.13001
1290
1262.62
1261.29004
1260.10999
1273.73999
1291.37
1292.03003
1291.80005
1308.85999
1311.37
1299.18994
1298.80005
1298
1311.45996
1334.87
1320.69995
1315.45996
1303.05005
1301.34998
1295.33997
1306.68994
1313.55005
1312.98999
1304.95996
1289.92004
1295.28003
1320.54004
1328.13001
1340.62
1343.56006
1344.66003
1345.02002
1350.27002
1347.82996
1361.17004
1355.12
1352.62
1356.04004
1349.58997
1348.83997
1343.56006
1360.40002
1351.89002
1336.14002
1337.02002
1367.37
1360.66003
1394.20996
1393.33997
1404.31995
1419.82996
1429.72998
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Part 6: First quartile=1132.460025, 2nd Quartile=1189.39002, 3rd quartile=1247.679995.

Part 7:

From histogram, we see that the distribution of the data is rightly skewed and bell shaped. However it is closed to symmetric. So we can approximate it by normal distribution.

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