Question

Data on snakes. For a biology project, you measure the length (inches) and weight (ounces) of 28 snakes of the same variety. What units of measurement do each of the following have? (units of measurement can be inches for length or height, pounds for weight, acres for areas, etc. This is not a multiple-choice question. For each of the following write the units. You don’t need to know the numbers for this.) A) The mean length of the snakes. B) The first quartile of the snake lengths. C) The standard deviation of the snake lengths. D) The correlation between length and snake weight. E) Suppose that the correlation between length and weight turns out to be r = 0.6. If you were to measure the length in centimeters instead of inches, what would be the new value of r? (one inch is 2.54 centimeters) F) A fellow student of yours at the biology department went on an expedition in NJ and collected length measurements for 28 snakes. Based on her calculations the average length of the snakes she caught is 2.3 feet and the standard deviation 2.5 feet. Do you have any reason to believe that her calculations are wrong? Explain your reasoning.

Answer 1

Solution:

A) The mean length of the snakes is in inches.

B) The first quartile of the snake lengths- There is no unit for quartile

C) The standard deviation of the snake lengths-is in inches

D) The correlation between length and snake weight.-it do not have unit

E) Suppose that the correlation between length and weight turns out to be r = 0.6. If you were to measure the length in centimeters instead of inches, what would be the new value of r? The value of r=6 would remain the same since the units of measuement will not affect its value.

F) A fellow student of yours at the biology department went on an expedition in NJ and collected length measurements for 28 snakes. Based on her calculations the average length of the snakes she caught is 2.3 feet and the standard deviation 2.5 feet. - Standard deviation can be greater than mean. There is no direct relationship between mean and standard deviation. Her answer may be correct.