The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in
the bank
account:
x g(x)
0 5600
3 5720
6 5840
Part A: Find and interpret the slope of the function (3 points)
Part B: Write the equation of the line in point-slope, slope-intercept, and standard forms (3 points)
Part C Write the equation of the line using function notation. (2 points)
Part D: What is the balance in the bank account after 7 days? (2 points)
account:
x g(x)
0 5600
3 5720
6 5840
Part A: Find and interpret the slope of the function (3 points)
Part B: Write the equation of the line in point-slope, slope-intercept, and standard forms (3 points)
Part C Write the equation of the line using function notation. (2 points)
Part D: What is the balance in the bank account after 7 days? (2 points)
1 answer:
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Median is the middle value, if you have an even number of values in the data set, add the two middle numbers and divide that by two. If you have an odd number in the data set, it would be the middle number.
Upper quartile is the middle value of the upper half of numbers in the data set, The upper half of numbers are the numbers below the Median. Use same way as the median to find the value.
Minimum is the lowest number in the set.
Maximum is the highest number in the set.
Lower quartile is the middle value of the lower half of numbers in the data set, The lower half of numbers are the numbers above the Median. Use same way as the median to find the value.
See the attached picture:
Upper quartile is the middle value of the upper half of numbers in the data set, The upper half of numbers are the numbers below the Median. Use same way as the median to find the value.
Minimum is the lowest number in the set.
Maximum is the highest number in the set.
Lower quartile is the middle value of the lower half of numbers in the data set, The lower half of numbers are the numbers above the Median. Use same way as the median to find the value.
See the attached picture:
Answer:
Where and
We select a sample of n=16 and we are interested on the distribution of , since the distribution for X is normal then we can conclude that the distribution for
is also normal and given by:
Because by definition:
And for this case we have this:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the IQ scores of a population, and for this case we know the distribution for X is given by:
Where and
We select a sample of n=16 and we are interested on the distribution of , since the distribution for X is normal then we can conclude that the distribution for
is also normal and given by:
Because by definition:
And for this case we have this: