Use the given data valuesâ (a sample of female arm circumferences inâ centimeters) to identify the corresponding z scores that a
re used for a normal quantileâ plot, then identify the coordinates of each point in the normal quantile plot. Construct the normal quantileâ plot, then determine whether the data appear to be from a population with a normal distribution.40.334.831.838.244.2List the z scores for the normal quantile plot.â(Round to two decimal places as needed. Use ascendingâorder.)
1 answer:
Answer:
The normal quantile plot is provided below.
Step-by-step explanation:
The standardized normal scores are known as <em>z</em>-scores.
If there are <em>n</em> values in a data set then the area corresponding to these <em>n</em> values is given by:
Here, <em>i</em> € {1, 2, ..., n}.
Arrange the data provided in ascending order.
S = { 31.8, 34.8, 38.2, 40.3, 44.2}
Consider the table for the <em>z</em>-scores.
To form the normal quantile plot, make a scatter plot with the <em>z</em>-scores on the <em>y</em>-axis and the values provided on the <em>x-</em>axis.
The normal quantile plot is provided below.
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The solution to this system is (x, y) = (8, -22).
The y-values get closer together by 2 units for each 2-unit increase in x. The difference at x=2 is 6, so we expect the difference in y-values to be zero when we increase x by 6 (from 2 to 8).
You can extend each table after the same pattern.
In table 1, x-values increase by 2 and y-values decrease by 8.
In table 2, x-values increase by 2 and y-values decrease by 6.
The attachment shows the tables extended to x=10. We note that the y-values are the same (-22) for x=8 (as we predicted above). That means the solution is ...
... (x, y) = (8, -22)
Answer:
When new, the scooter cost $900
Step-by-step explanation:
<u><em>The complete question in the attached figure</em></u>
we have
This is a exponential function of the form
where
A(t) ----> represent the value of a motor scooter
t ----> the number of years after it was purchased
a ---> represent the initial value or y-intercept
b is the base of the exponential function
r is the percent rate of change
b=(1+r)
In this problem we have
The base b is less than 1
That means ----> is a exponential decay function (is a decreasing function)
Find the percent rate of change
Convert to percentage (multiply by 100)
---> negative means is a decreasing function
<u><em>Verify each statements</em></u>
<em>case A</em>) When new, the scooter cost $765.
The statement is false
Because the original value of the scooter was $900
case B) When new, the scooter cost $900
The statement is true (see the explanation)
case C) The scooter’s value is decreasing at a rate of 85% each year
The statement is false
Because the scooter’s value is decreasing at a rate of 15% each year (see the explanation)
case D) The scooter’s value is decreasing at a rate of 0.15% each year
The statement is false
Because the scooter’s value is decreasing at a rate of 15% each year (see the explanation)
