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(A) Find the Mean and Standard Deviation of the Sampling

question 2

Essay

(A) Find the mean and standard deviation of the sampling distribution of the average weekly earnings in the sample.
(B) Find probability that the mean of the sample is less than $445.
(C) Find the probability that the mean of the sample is between $445 and $455.
(D) Find the probability that the mean of the sample is greater than $460.
(E) Explain why the assumption of normality about the distribution of the average weekly earnings for employees was not involved in the answers to (A) through (D).


Definitions:

Rhizobacteria

Beneficial bacteria that reside in the soil close to plant roots, often enhancing plant growth or protecting against pathogens.

Nod Factors

Signaling molecules produced by rhizobial bacteria that play a crucial role in the establishment of symbiosis with leguminous plants, leading to the formation of nitrogen-fixing nodules.

Lichens

Lichens are symbiotic associations between a fungus and a photosynthetic partner, typically an algae or a cyanobacterium, living together in a mutualistic relationship.

Photosynthetic Roots

roots of certain plants that are capable of photosynthesis, an adaptation seen often in aquatic plant species.

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