Will mark brainliest (2 possible answers. NO LINKS OR ANSWERS WITHOUT EXPLANATION)
1 answer:
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Answer:
The score that cuts off the bottom 2.5% is 48.93.
Step-by-step explanation:
When the distribution is normal, we use 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.
In this question, we have that:
What is the score that cuts off the bottom 2.5%
This is X when Z has a pvalue of 0.025, so X when Z = -1.96.
The score that cuts off the bottom 2.5% is 48.93.
The variance for the data is 17,507. 5.
Given
The weekly salaries of a sample of employees at the local bank are given in the table below.
Employee Weekly Salary Anja $245 Raz $300 Natalie $325 Mic $465 Paul $100.
<h3>Variance</h3>Variance is the expected value of the squared variation of a random variable from its mean value, in probability and statistics.
The mean value of the salaries of employees is;
The variance is given by;
Hence, the variance for the data is 17,507. 5.
To know more about variance click the link given below.