Assume that hybridization experiments are conducted with peas having the propert
ID: 3065438 • Letter: A
Question
Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 12. Complete parts (a) through (c) below.
a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 12.
b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high.
Values of ___ peas or fewer are significantly low.
(Round to one decimal place as needed.)
Values of ___ peas or greater are significantly high.
(Round to one decimal place as needed.)
c. Is a result of 2 peas with green pods a result that is significantly low? Why or why not?
The result (is, is not) significantly low, because 2 peas with green pods is (greater than, equal to, less than) peas.
(Round to one decimal place as needed.)
Explanation / Answer
p = 0.75
n = 12
a) mean = n * p = 12 * 0.75 = 9
standard deviation = sqrt(n * p * (1 - p)) = sqrt(12 * 0.75 * 0.25) = 1.5
b) Significantly low value = mean - 2 * sd = 9 - 2 * 1.5 = 6
Significantly low value = mean + 2 * sd = 9 + 2 * 1.5 = 12
c) The result is significantly low, because 2 peas with green pods is less than 6 peas.