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 28. 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 28.
the value of the mean is μ = 21 peas.
(type an integer or a decimal. do not round.)
the value of the standard deviation is σ = 2.3 peas.
(round to one decimal place as needed.)
b. use the range - rule of thumb to find the values separating results that are significantly low or significantly high.
values of 16.4 peas or lower are significantly low.
(round to one decimal place as needed.)
values of 25.6 peas or greater are significantly high.
(round to one decimal place as needed.)
c. is a result of 8 peas with green pods a result that is significantly low? why or why not?
the result dropdown significantly low, because 8 peas with green pods is dropdown box peas.
(round to box as needed.)

Explanation:

Step1: Recall significant - low criteria

Values are significantly low if they are less than or equal to $\mu - 2\sigma$. We know $\mu = 21$ and $\sigma=2.3$.

Step2: Calculate $\mu - 2\sigma$

$21-2\times2.3=21 - 4.6 = 16.4$.

Step3: Compare the result

We are comparing 8 peas with green pods to the significant - low value. Since $8\leq16.4$, 8 peas with green pods is a significantly low result.

Answer:

The result is significantly low, because 8 peas with green pods is less than or equal to 16.4 peas.