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Answer:
0.7486 = 74.86% observations would be less than 5.79
Step-by-step explanation:
I suppose there was a small typing mistake, so i am going to use the distribution as N (5.43,0.54)
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The general format of the normal distribution is:
N(mean, standard deviation)
Which means that:
What proportion of observations would be less than 5.79?
This is the pvalue of Z when X = 5.79. So
has a pvalue of 0.7486
0.7486 = 74.86% observations would be less than 5.79
Answer:
Step-by-step explanation:
A correlation coefficient is a number ranging from -1 and 1 that measures the strength and direction of a linear relationship.
- If it is a negative number, the linear relationship is also negative. If it's positive, the relationship is positive.
- The closer it is to -1 or 1, the stronger the relationship.
Since the question only asks for the strongest relationship and does not ask for the direction (positive/negative), we can simply choose the number closest to -1/1. Therefore, the answer is -0.92.