Question

In the counseling literature, it appears that one thing that is important in counseling is the amount of empathy that a therapist displays towards a client. After reading this literature, a counseling psychologist is interested in the role of empathy specifically on clients with anxiety. In order to predict the change in anxiety based on a counselor’s empathy, the counselor observes several therapists and clients during counseling sessions. The researcher measures the amount of time that therapist displays empathy toward the client. In addition, the counselor measures the amount of anxiety symptoms the client displays over the course of a week. Use the following data to create a data file and to answer the questions below.

Empathy in seconds	Anxiety Symptoms
354	5
607	2
132	13
276	2
286	12
543	4
389	8
201	13
378	9
645	2
321	10
276	14
391	9
462	4
357	5
422	7
102	17
328	8
357	6
486	3

1. What is the researcher’s research question(s)?
2. Given the researcher’s areas of interest, what type of test(s) should this researcher use and why?
3. State the null and alternative hypotheses.
4. Report the sample mean, standard deviation, and standard error of the mean for each variable.

Answer 1

1.What is the researcher’s research question(s)?

Whether empathy towards patients play a role in anxiety among patients.

i.e whether empathy and anxiety in patients are related to each other or not.(using linear regression)

ANXIETY=

Y=

2.Given the researcher’s areas of interest, what type of test(s) should this researcher use and why?

The researcher should use the test of significance of linear regression so that we are able to reach to a conclusion that whether the relation among empathy and anxiety among patients is significant or not.

3.State the null and alternative hypotheses.

4.Report the sample mean, standard deviation, and standard error of the mean for each variable.

1.EMPATHY

The sample size is n=20. The provided sample data along with the data required to compute the sample mean Xˉ and sample variance s2 are shown in the table below:

	EMAPTHY	EMAPTHY2
	354	125316
	607	368449
	132	17424
	276	76176
	286	81796
	543	294849
	389	151321
	201	40401
	378	142884
	645	416025
	321	103041
	276	76176
	391	152881
	462	213444
	357	127449
	422	178084
	102	10404
	328	107584
	357	127449
	486	236196
Sum =	7313	3047349

The sample mean Xˉ is computed as follows:

Also, the sample variance s2 is

Therefore, the sample sandartd deviation s is

Standard error of mean:

2.ANXIETY

The sample size is n = 20n=20. The provided sample data along with the data required to compute the sample mean \bar XXˉ and sample variance s^2s2 are shown in the table below:

	ANXIETY	ANXIETY2
	5	25
	2	4
	13	169
	2	4
	12	144
	4	16
	8	64
	13	169
	9	81
	2	4
	10	100
	14	196
	9	81
	4	16
	5	25
	7	49
	17	289
	8	64
	6	36
	3	9
Sum =	153	1545

The sample mean Xˉ is computed as follows:

Also, the sample variance s^2s2 is

Therefore, the sample sandartd deviation s is

Standard error of mean:

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