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The task in a particular concept-formation experiment is to discover, through tr

ID: 3376170 • Letter: T

Question

The task in a particular concept-formation experiment is to discover, through trial and error, the correct sequence in which to press a row of buttons. It is determined from the nature of the task that the average score obtained by random guessing alone would be 20 correct out of a standard series of trials. The following are scores for a sample of volunteer college students: 21, 24, 18, 13, 10. You wish to determine if your sample is different than the average at the .05 level of significance.

What final conclusion can be made within the context of this example?

There is sufficient evidence to indicate that the average score obtained through guessing does not equal 20.

There is insufficient evidence to indicate that the average score obtained through guessing equals 20.

There is sufficient evidence to indicate that the average score obtained through guessing is greater than 20.

There is insufficient evidence to indicate that the average score obtained through guessing does not equal 20.

5. Using the confidence interval results, what statistical evidence can you provide in support of your conclusion?

because 20 is in the interval

because 17.2 is in the interval

because 17.2 is not in the interval

because 20 is not in the interval

What final conclusion can be made within the context of this example?

There is sufficient evidence to indicate that the average score obtained through guessing does not equal 20.

There is insufficient evidence to indicate that the average score obtained through guessing equals 20.

There is sufficient evidence to indicate that the average score obtained through guessing is greater than 20.

There is insufficient evidence to indicate that the average score obtained through guessing does not equal 20.

a.

There is sufficient evidence to indicate that the average score obtained through guessing does not equal 20.

b.

There is insufficient evidence to indicate that the average score obtained through guessing equals 20.

c.

There is sufficient evidence to indicate that the average score obtained through guessing is greater than 20.

d.

There is insufficient evidence to indicate that the average score obtained through guessing does not equal 20.

Explanation / Answer

The statistical software output for this problem is:

One sample T confidence interval:
? : Mean of variable

95% confidence interval results:

Hence,

Because 20 is in the interval, There is insufficient evidence to indicate that the average score obtained through guessing does not equal 20.

Option D is correct.

Variable Sample Mean Std. Err. DF L. Limit U. Limit Data 17.2 2.5573424 4 10.099679 24.300321
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