Cost of Toy Cars A graph with cars on the x-axis and cost on the y-axis. A line goes through points (0, 0), (2, 3), (4, 6). What
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Answer:
Step-by-step explanation:
Hello!
The parameter of interest in this exercise is the population proportion of Asians that would welcome a person of other races in their family. Using the race of the welcomed one as categorizer we can define 3 variables:
X₁: Number of Asians that would welcome a white person into their families.
X₂: Number of Asians that would welcome a Latino person into their families.
X₃: Number of Asians that would welcome a black person into their families.
Now since we are working with the population that identifies as "Asians" the sample size will be: n= 251
Since the sample size is large enough (n≥30) you can apply the Central Limit Theorem and approximate the variable distribution to normal.
1. 95% CI for Asians that would welcome a white person.
If 79% would welcome a white person, then the expected value is:
E(X)= n*p= 251*0.79= 198.29
And the Standard deviation is:
V(X)= n*p*(1-p)= 251*0.79*0.21=41.6409
√V(X)= 6.45
You can construct the interval as:
E(X)±Z₁₋α/₂*√V(X)
198.29±1.965*6.45
[185.62;210.96]
With a 95% confidence level, you'd expect that the interval [185.62; 210.96] contains the number of Asian people that would welcome a White person in their family.
2. 95% CI for Asians that would welcome a Latino person.
If 71% would welcome a Latino person, then the expected value is:
E(X)= n*p= 251*0.71= 178.21
And the Standard deviation is:
V(X)= n*p*(1-p)= 251*0.71*0.29= 51.6809
√V(X)= 7.19
You can construct the interval as:
E(X)±Z₁₋α/₂*√V(X)
178.21±1.965*7.19
[164.08; 192.34]
With a 95% confidence level, you'd expect that the interval [164.08; 192.34] contains the number of Asian people that would welcome a Latino person in their family.
3. 95% CI for Asians that would welcome a Black person.
If 66% would welcome a Black person, then the expected value is:
E(X)= n*p= 251*0.66= 165.66
And the Standard deviation is:
V(X)= n*p*(1-p)= 251*0.66*0.34= 56.3244
√V(X)= 7.50
You can construct the interval as:
E(X)±Z₁₋α/₂*√V(X)
165.66±1.965*7.50
[150.92; 180.40]
With a 95% confidence level, you'd expect that the interval [150.92; 180.40] contains the number of Asian people that would welcome a Black person in their family.
I hope it helps!
The total distance is an illustration of a linear function.
<u>(1) Why the relationship is a function</u>
The relationship is a function because all input values of h, have exactly one corresponding output value of d
<u>(2) The function type</u>
The function is a discrete function, because the number of hours is an integer, and it cannot take decimal values (in this case)
<u>(3) The domain for a drive of 8 hours</u>
The domain is the set of time the girls drive.
So, the domain is: [0,8]
<u>(4) The range</u>
The function is given as:
When h = 0,
When h = 8,
So, the range is: [10,450]
<u>(5) The graph</u>
See attachment
<u>(6) The slope</u>
A linear function is represented as:
Where:
m represents the slope.
So, by comparison:
The slope in this case represents the distance travelled per hour
<u>(7) The y-intercept</u>
In (6) above, c represents the y-intercept.
So, by comparison:
The y-intercept in this case represents the initial distance
Read more about linear functions at
