the average salary for new college graduates with the job is $50,556. A particular University wants to claim his graduates earn more than average. To test this claim they randomly select 100 of their new graduates to find that their average salary is $53,200 with a standard deviation of $10,200. What conclusion should the draw?​

the average salary for new college graduates with the job is 50556 A particular University wants to claim his graduates earn more than average To test this clai class=

Respuesta :

Answer:

Given:

Null hypothesis: the average salary for new college graduates with a job is $50,556.

Alternative hypothesis: the graduates from a university earn more than that average.

Using the z-test:

=> Calculate the value of test statistic:

t = (mean of sample - mean of null hypothesis)/(std/sqrt(number of sample)

 = (53200 - 50556)/(10200/sqrt(100))

 = 2.592 > 1.645

=> Reject the null hypothesis, their graduates earn more than average

Hope this helps!

:)

The conclusion that should be drawn; Reject the null hypothesis, their graduates earn more than average.

How to form the hypotheses?

There are two hypotheses. First one is called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test.

The hypothesis which we put against null hypothesis is alternate hypothesis.

Null hypothesis is the one which researchers try to disprove.

Null hypothesis is the average salary for new college graduates with a job is $50,556.

Alternative hypothesis is the graduates from a university earn more than that average.

Using the z-test to Calculate the value of test statistic:

t = (mean of sample - mean of null hypothesis)/(√(number of sample)

= (53200 - 50556)/(10200/√(100))

= 2.592 > 1.645

The conclusion that should be drawn; Reject the null hypothesis, their graduates earn more than average.

Learn more about null and alternative hypothesis here:

https://brainly.com/question/18831983

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