Stat 20Midterm Exam, Page 8 of 1212 July 20126. Measurements of the weight of 44 snowy plover eggs (along with the weight of the 44 chicks after they arehatched) were collected by BLSS: The Berkeley Interactive Statistical System of Abrahams and Rizzardi.The weight of the egg and of the newly hatched chick are measured in grams (gm). A scatterplot of chickweight versus egg weight is shown below, along with means, SDs, and the correlation coefficient. Assumethat the scatterplot is “football shaped”, and thus that egg weight and chick weight have approximatelynormal histograms.●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●7.58.08.59.09.510.05.56.06.57.0Chick Weight vs. Egg WeightEgg Weight (gm)Chick Weight (gm)Egg Weight: mean = 8.63 gmsd = 0.48 gmChick Weight: mean = 6.15 gmsd = 0.41 gmcorrelation: r = 0.85(a) (3 points) Fill in the blank: About 40% of the chicks have weights between 5.8 grams andgrams.
(b) (2 points) One of the chicks is at the 75thpercentile for weight. Predict the weight of the egg ithatched from. Include units.