Answer:
m = y/x
Step-by-step explanation:
y-y = m(x-x)
simplify:
-2y = m(-2x)
simplify again
-2y = -2mx
divide to get rid of -2 and x
-2y = -2mx
----------------
-2x
y
- = m
x
Answer:
d. No, the conditions for normality have not been met because the sample size for the pennies is not large enough and no information is given about the distributions of the populations.
Step-by-step explanation:
In this example, we learn that the sample taken of pennies was of 25, while the sample of quarters was of 35. According to the central limit theorem, a sample must be equal to or larger than 30 for the theorem to hold. The theorem states that when random variables are added, they tend towards a normal distribution even if the original variables themselves are not normally distributed. In this question, the sample of pennies is not large enough for the theorem to hold. On top of this, we have no information about the distribution of the populations. Therefore, the conditions for normality have not been met.
Based on the given description above, I have analyzed it and come up with a solution to get the probability if in a random sample of 25 students from this said group and the average height is between 73 and 75 inches. So if you calculate it, it will be like this:
<span>2P(Z<2)−1</span>
To find the probability of Z, use the normal distribution table.
The value for Z being less than 2 is 0.9772.
The final result is then<span><span>2(0.9772)−1=0.9544
Hope this is the answer that you are looking for.</span></span>