Question

The annual salary of teachers in a certain state X has a mean of μ = $54,000 and standard deviation of σ = $5,000. What is the probability that a randomly selected teacher from this state has an annual salary of $55,500 or more. Group of answer choices We can not solve this with the given information. 0.3821 0.0082

Answer 1

We can not solve this with the given information.

Explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean
`\mu` and standard deviation
`\sigma`, the zscore of a measure X is given by:

`Z = (X - \mu)/(\sigma)`

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 problem, we have that:

We have no information about wheter the distribution is normal or not, so we cannot solve the question.

The correct answer is:

We can not solve this with the given information.