A scientist collected the following weights (in grams) of laboratory animals:
|
9.79
|
9.23
|
9.11
|
|
9.62
|
8.73
|
11.93
|
|
10.39
|
8.68
|
9.76
|
|
9.59
|
11.49
|
9.86
|
|
11.41
|
9.60
|
7.24
|
a. Use these data to create a data-based CDF for the distribution of weights for lab animals. Estimate the probability that an animal's weight will be less than 9.5 grams.
b. Fit a normal distribution to these data on the basis of the sample mean and sample variance. Use this normal distribution to estimate the probability that an animal's weight will be less than 9.5 grams.
c. Do you think the normal distribution used in part b is a good choice for a theoretical distribution to fit these data? Why or why not?