Answer:
The scores that are less than or equal to 10.8 are considered significantly low.
The scores that are greater than or equal to 32.4 are considered significantly high.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 21.6
Standard Deviation, σ = 5.4
We are given that the distribution of score is a bell shaped distribution that is a normal distribution.
Formula:
Significantly low score:
Thus, scores that are less than or equal to 10.8 are considered significantly low.
Significantly high score:
Thus, scores that are greater than or equal to 32.4 are considered significantly high.
Using correlation coefficients, it is found that a coefficient of -1 represents a strong negative correlation.
<h3>What is a correlation coefficient?</h3>
- It is an index that measures correlation between two variables, assuming values between -1 and 1.
- If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.
- If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.
For this problem, we have a correlation coefficient of -1, hence it means that:
- The relation is negative, as -1 is a negative number.
- The relation is strong, as the absolute value of the coefficient is of 1, which is greater than 0.6.
More can be learned about correlation coefficients at brainly.com/question/25815006
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Answer:
option d: 25% unfavorable
Step-by-step explanation:
The budget is $40, and it was spent $50, so as the amount spent was higher than the budget, we have a unfavorable percent of variance.
The amount spent more than the budget was:
50 - 40 = 10
Now to calculate the percent of variance, we divide the value spent more than the budget (10) by the value of the budget (40)
Percent of variance = 10 / 40 = 0.25 = 25%
So the answer is 25% unfavorable, option d
Force = mass x acceleration
