The Unit Sales of a Company's Product a in June $\vec { a } = ( 100,220,100,85 )$

question 16

Essay

The unit sales of a company's product A in June, July, August, and September are given by $\vec { a } = ( 100,220,100,85 )$ , and the sales of product B in the same four months are given by $\vec { b } = ( 130,200,320,200 )$ .Suppose the company makes a profit of $200 for each unit of product A and $85 for each unit of product B.Compute $200 \vec { a } + 85 \vec { b }$ and interpret its meaning.

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Definitions:

Sampling Distribution

The distribution pattern of a statistic that emerges from analyzing a large collection of samples taken from a specified group.

Sample Mean

The average value of a sample set of numbers, calculated by adding them together and dividing by the number of samples.

Central Limit Theorem

A statistical theory that states the distribution of sample means approaches a normal distribution as the sample size becomes larger, regardless of the population's distribution.

Sampling Distribution

The configuration of probability for a given statistic, determined by a random sample.