From the data below answer: (2 points) Find the sample mean (2points) Find the sample standard deviation (5points) Find the five-number summary (4 points) find the IQR and the limits to test for outliers using the 1.5 rule to determine if there are any outliers

(6 points) Assuming the population Mean is 450 and the population standard deviation is 300, find:

a. The z-score and find the probability that a turtle is bigger than 755 b. The z-score and the probability that a turtle is smaller than 50 c. The z-scores and the probability that a turtle is between 400 and 600

(2 points) Out of 120 turtles, 35 had physical abnormalities. Find the proportion of turtles with abnormalities.

(2 points) Find a 95% confidence interval of the proportion of turtles with physical abnormalities

(4 points) find the Z-score and the probability that out of 100 turtles less than 30 turtles have abnormalities (4 points) Find the Z-score and the probability that out of 100 turtles between 30 and 50 turtles have abnormalities (4 points) Find the Z-score that more than 50 turtles have abnormalities

(2 Points) In a pristine wetland, the expected proportion of turtles with abnormalities is 33%. Set up the null and alternative hypothesis that the proportion of turtles with abnormalities is bigger in the wetland with contaminants.

(4 points) In a contaminated wetland, with an elevated average water temperature (water temperature higher than a normal habitat), the sample proportion of turtles with abnormalities is 40% n=100. Find the test statistic (z-score) and the p-value testing that the proportion of turtles with abnormalities is bigger in contaminated wetlands with high water temperature.

(2 points) Interpret the p-value that you found in the previous question in this context.

(2 points) Find and interpret the confidence interval for the proportion of turtles with abnormalities in contaminated wetlands with high water temperature.

Here is the data Turtles'weight in lbs. collected by PCC's Habitat Restoration team, you can copy and paste it into excel or use your calculator.

1177 1208 1202 412 478 705 201 231 198 249 266 158 707 1064 412 431 297 201 290 274 281 206 282 158 424 138 134 81 1074 1104 485 804 1075 1208 1274 711 1202 1091 458 412 490 637 519 297 302 602 518 205 463 416 201 235 195 231 198 107 198 309 180 233 284 215 140 208 266 198 282 128 134 486 269 102 152 230 170 170 90 362 888 1202 834 510 1113 1218 426 476 430 762 282 487 730 504 648 390 276 323 239 524 269 226 267