Question

The owner of Britten’s egg farm wants to estimate the mean number of eggs produced per chicken. A sample of 15 chickens shows they produced an average of 22 eggs per month with a standard deviation of 7 eggs per month.

a) 22
b) 25
c) 29
d) 33

Answer 1

The mean number of eggs produced per chicken in the sample is 22. X, representing the number of cracked eggs, can take values from 0 to 3 in the stated probability scenario. The hypothesis tests on egg production in fruit flies and French fries suggest differences in standard variations and production rates.

Step-by-step explanation:

The question provided is related to statistical analysis, specifically estimating the mean and dealing with probabilities and hypothesis testing. Here are the responses to the different segments:

• The mean number of eggs produced per chicken is 22 eggs per month, as given by the average from the sample of 15 chickens.
• For the question involving a gross of eggs with 12 cracked eggs, where an inspector chooses 15 eggs for inspection and wants to know the probability that at most three are cracked, the variable X represents the number of cracked eggs found in the sample, and it can take values from 0 to 3.
• The results of a hypothesis test on the number of eggs laid by selectively bred strains of fruit flies suggest that the strains are different from a nonselected line in terms of their mean egg production rate.
• In a scenario where a chef claims the standard deviation for an order of fries is at most 1.5 ounces but is found to be 2 ounces after a sample study, the manager might suspect that the actual standard deviation is higher than claimed.
• The process of egg production in females starts at birth but the eggs do not mature until puberty, with one egg typically developing each month.