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Answer:
B. Yes it is likely. The probability that the next 50 Sunday customers will spend an average of at least $40 is P=0.0023.
Step-by-step explanation:
<em>The question is incomplete:</em>
<em>A grocery store’s receipts show that Sunday customer purchases have a skewed distribution with a mean of $32 and a standard deviation of $20.</em>
We have to assume certain conditions to calculate the probability that the next 50 Sunday customers will spend an average of at least $40.
First, this 50 purchases are representative of the total purchases made in the store (the same as saying it is a random sample).
Second, the 10% condition: the 50 sales represent less than 10% of all purchases.
Third, the sample of 50 sales is large enough to make an approximation to the normal distribution.
If all these conditions are met, we can approximate the probabiltity that the next 50 Sunday customers will spend an average of at least $40.
We have a sampling distribution, with mean 32 (equal to the population mean) and standard deviation:
Then, we calculate the z-score
The probabilty can be calculated then as:
Answer: The intersection region shown in the graph attached is the solution of the system of inequalities.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Given the following system of inequalities:
We need to graph the lines.
We have the line:
Solving for "y", we get:
Knowing that and
, we can graph it.
Since the symbol is , the line must be solid.
The other line is:
Since "x" only takes one value, we can identify that it is a vertical line, so we can graph it.
Since the symbol is , the line must be solid.
We need to substitute a point that is not on the line, into each inequalities. Let's choose the point (0,0).
Then:
This is false, therefore, we must shade the half that does not contain this point.
This is false, so we must shade the half that does not contain this point.
The intersection region of the solutions (Observe the graph attached) of the given inequalities is the solution of the system of inequalities.
