harold collected data on the daily high temperature in two cites over a period of one week . he analyzed the data and found the
measures below . which statement is true based on these measures
1 answer:
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Answer:
(a) The standard deviation of the amount spent is $3229.18.
(b) The probability that a household spends between $4000 and $6000 is 0.2283.
(c) The range of spending for 3% of households with the highest daily transportation cost is $12382.86 or more.
Step-by-step explanation:
We are given that the average annual amount American households spend on daily transportation is $6312 (Money, August 2001). Assume that the amount spent is normally distributed.
(a) It is stated that 5% of American households spend less than $1000 for daily transportation.
Let X = <u><em>the amount spent on daily transportation</em></u>
The z-score probability distribution for the normal distribution is given by;
Z = ~ N(0,1)
where, = average annual amount American households spend on daily transportation = $6,312
= standard deviation
Now, 5% of American households spend less than $1000 on daily transportation means that;
P(X < $1,000) = 0.05
P( <
) = 0.05
P(Z < ) = 0.05
In the z-table, the critical value of z which represents the area of below 5% is given as -1.645, this means;
= 3229.18
So, the standard deviation of the amount spent is $3229.18.
(b) The probability that a household spends between $4000 and $6000 is given by = P($4000 < X < $6000)
P($4000 < X < $6000) = P(X < $6000) - P(X $4000)
P(X < $6000) = P( <
) = P(Z < -0.09) = 1 - P(Z
0.09)
= 1 - 0.5359 = 0.4641
P(X $4000) = P(
) = P(Z
-0.72) = 1 - P(Z < 0.72)
= 1 - 0.7642 = 0.2358
Therefore, P($4000 < X < $6000) = 0.4641 - 0.2358 = 0.2283.
(c) The range of spending for 3% of households with the highest daily transportation cost is given by;
P(X > x) = 0.03 {where x is the required range}
P( >
) = 0.03
P(Z > ) = 0.03
In the z-table, the critical value of z which represents the area of top 3% is given as 1.88, this means;
x = $6312 + 6070.86 = $12382.86
So, the range of spending for 3% of households with the highest daily transportation cost is $12382.86 or more.
Answer: The answer is x = 19.
Step-by-step explanation: Given that a flower pot has a base with six equal sides of measurement (x - 6) units. We are to find the value of the unknown quantity 'x' if the perimeter of the base is 78 units.
We know that the perimeter of a polygon is given by the sum of the lengths of all the sides of the polygon.
Since each side of the six-sided base is (x - 6) units, so its perimeter will be
According to the question, we have
Thus, the value of 'x' is 19 units.
Answer:
Step-by-step explanation:
8 1/2 inches = inches
To fit on shelves, the package must not be more than 8 1/2 inches tall, it means the height of the package can be at inches
The box must be able to hold 100 cubic units of crackers. it means the volume of the box is 100 cubic units.
The base of the package to be squared
And we have the formula:
V = h*S (Area of the base)
=> S = V/h = 100 : =
=> the side of square:
The dimensions for Jason's design are:
The height: inches
The length and width: