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in october, the campus bookstore asked a random set of freshmen and seniors how much they had spent on textbooks that semester. the bookstore believes that the two groups spent the same amount. what is an appropriate test value for a z test?

Sagot :

As per the sampling, an appropriate test value for a z test is 0.808

Sampling:

In math, sampling means selecting the group that you will actually collect data from in your research.

Given,

In October, the campus bookstore asked a random set of freshmen and seniors how much they had spent on textbooks that semester. the bookstore believes that the two groups spent the same amount.

Here we need to find the appropriate test value for a z test.

As per the given question, first we must know the definition of z test,

The term z-test means statistical test that can be used to determine whether two population means are different.

And it is used when the variances are known or the sample size is large.

And the formula of the z value, the test statistic for two population with large sample size is given by,

z = [x₂ - x₁] / √[(s₁²/n₁) + (s₂²/n₂)]

From the question we have, x1=$320, x2=$310, s1=$62, s2=$73, n1=60 and n2 = 60.

When we apply the value then we get the z value as

=> z = [310 - 320] / √[(62²/60) + (73²/60)]

=> 0.808

To know about Sampling here.

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