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.  a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 12. The value of the mean is μ= ​(Type an integer or a decimal. Do not​ round.)   b. The value of the standard deviation is σ= ​(Round to one decimal place as​ needed.)   c. 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.)   d. Values of peas or greater are significantly high. ​(Round to one decimal place as​ needed.)   e. Is a result of 5 peas with green pods a result that is significantly​ low? Why or why​ not? The result significantly​ low, because 5 peas with green pods is greater than equal to less than peas. ​(Round to one decimal place as​ needed.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...