An employee receives a pay increase from $35,000 per year to $37,500 per year. Calculate the percent increase. Round to the near
2 answers:
Answer:
The percentage increase in salary of employee is 7.14 %
Step-by-step explanation:
Given as :
The initial pay of employee = $35,000 per year
The increase pay of employee = $37,500 per year
Let The percentage increase in salary = X %
So, X = × 100
Or, X = × 100
Or, X = × 100
∴ X = 0.0714 × 100 = 7.14 %
Hence The percentage increase in salary of employee is 7.14 % Answer
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Answer:
The blood potassium level L such that the probability is only 0.05 that the average of four measurements is less than L is 3.64.
Step-by-step explanation:
To solve this question, we have to understand the normal probability distribution and the central limit theorem.
Normal probability distribution:
Problems of normally distributed samples are 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.
Central limit theorem:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, the sample means of size n can be approximated to a normal distribution with mean
and standard deviation, which is also called standard error
In this problem, we have that:
What is the blood potassium level L such that the probability is only 0.05 that the average of four measurements is less than L?
This is the value of X when Z has a pvalue of 0.05. So it is X when Z = -1.645.
By the Central Limit Theorem
The blood potassium level L such that the probability is only 0.05 that the average of four measurements is less than L is 3.64.