Mathematics, 11.02.2020 23:06 bubblegum2850

Suppose that Jason recently landed job offers at two companies. Company A reports an average salary of $51,500 with a standard deviation of $2,175. Company B reports an average salary of $46,820 with a standard deviation of $5,920. Assume that salaries at each company are normally distributed. Jason's goal is to secure a position that pays $55,000 per year. What are the z ‑scores for Jason's desired salary at Company A and Company B? Please round your answers to two decimal places.

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Answer from: dhhdndnd

The z-score for Jack's desired salary at company A is 1.61.

The z-score for Jack's desired salary at company B is 1.38.

Step-by-step explanation:

Problems of normally distributed samples can be 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:

$Z = \frac{X - \mu}{\sigma}$

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:

Company A:

Company A reports an average salary of $51,500 with a standard deviation of $2,175. This means that $\mu = 51500, \sigma = 2175$

Jason's goal is to secure a position that pays $55,000 per year. What isthe z ‑score for Jason's desired salary at Company A?

This is Z when X = 55000. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{55000 - 51500}{2175}$

Z = 1.61

The z-score for Jack's desired salary at company A is 1.61.

Company B:

Company B reports an average salary of $46,820 with a standard deviation of $5,920. This means that $\mu = 46820, \sigma = 5920$ .

Jason's goal is to secure a position that pays $55,000 per year. What isthe z ‑score for Jason's desired salary at Company B?

This is Z when X = 55000. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{55000 - 46820}{5920}$

Z = 1.38

The z-score for Jack's desired salary at company B is 1.38.

Answer from: Quest

step-by-step explanation:

this woman was an important writer and propagandist during the american revolution. she was a member of the committee of correspondence (in fact the committee was formed in her home) and was an advisor to many of the revolutionary leaders, including george washington and john adams. who was this revolutionary woman?

Find the value of each variable. write the answer in simplest radical form.

Answer from: Quest

a framing bias

step-by-step explanation:

rodrigo is subject to a framing bias i believe.

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