Find the T-obt

A

altitus

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A researcher hypothesizes that people who listen to classical music have higher levels of concentration than those in the general population. On a standard concentration test, the overall mean is 15. The researcher gave this same test to a random sample of 10 individuals who regularly listen to classical music. Their scores on the test were as follows: 15, 14, 20, 12, 25, 21, 22, 18, 16, 17.

Decide whether to use a z-test or a t-test, then find the z obt or t obt.

a. -1.61
b. +2.36
c. +1.61
d. + 1.86

I'm having trouble knowing what formula to use. I'm almost 100 percent sure the t test is what's needed for this question, but I'm not sure which t test is needed. Even if I did know, I'm having trouble understanding how to figure the problem. If anyone can be of assistance, I'd greatly appreciate it.
 
altitus said:
I'm having trouble knowing what formula to use. I'm almost 100 percent sure the t test is what's needed for this question, but I'm not sure which t test is needed. Even if I did know, I'm having trouble understanding how to figure the problem. If anyone can be of assistance, I'd greatly appreciate it.
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Yes, a t-test would be appropriate. Please show what you have done -- did you find the mean and standard deviation of the sample? Did you find a value for t? What different t-tests have you learned, and what formulas do they involve?
 
t or Z is based on SAMPLE SIZE. Please make a wise choice.

In any case, you'll need a Confidence Level. 5%? 10%? One tail? Two tail?

Please demonstrate that you have been paying attention in class or reading your textbook by executing these first two requirements.

You will also need a Null Hypothesis. Please state it.

There is no reason why you would understand how to proceed or how to solve if you don't do the preliminaries.
 
OK. This is a one-tailed test, and the null hypothesis is that those who listen to classical music have greater concentration skills than those who do not. The alternative hypothesis is that there are equal levels of concentration skills in both populations. I'm studying this topic independently. I'm sorry if I haven't included enough information.
 
You haven't reported a Confidence Level.

I don't really ask questions just to have them answered. My hope is that you will answer them AND see a path forward.

Typically, the Null Hypothesis is the Status Quo - There is no difference in attention. This is status quo since we should not be claiming otherwise until we have shown it to be so.

Feel free to be more formal about it.

[math]M_{G}[/math] = Mean of General Population
[math]M_{S}[/math] = Mean of Sample

[math]H_{0}: M_{S} = M_{G}[/math] - No difference.
[math]H_{A}: M_{S} > M_{G}[/math] - Classic Listeners really do have better attention skills.

Personally, I would also want to study whether diagnosis of ADD makes any difference. Does classical music help them pay better attention? An experiment for another day, I suppose, but this is what I would want you to do - ALWAYS be thinking about the implications of your work. ALWAYS!

Okay
1) What is your sample mean and the standard error of the sample mean? What is the t-value calculated? <== This is what the problem statement actually requires?
2) What are your Degrees of Freedom and what is your rejection value from the t-table?
3) What is the p-value? Do we care? Whet even is this useful value?

Again, don't just answer the questions. Think about what you are doing. Find your way through it.
 
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