Question

Use SPSS to get the appropriate output, and please explain the process. Along with providing the SPSS output, use the 5 steps of hypothesis testing to analyze the results by using the p-value approach.

Given the following data, test at the 0.05 level of significance to see if the number of dogs treated at two different vet clients differs. Assume variances are equal. Clinic A (doges treated per 10 randomly selected day); 10, 11, 15, 4, 8, 9, 14, 5, 18, 20 Clinic B (dogs treated per 7 randomly selected day): 11, 16, 15, 18, 14, 16, 18

Answer 1

Answer 2

Null Hypothesis: The mean number of dogs treated at two different vet clients is equal.

Alternative Hypothesis: The mean number of dogs treated at two different vet clients is different.

From the below, the standard deviations are significantly different at 0.05. Hence, we should use the t-test by assuming unequal variances.

Group Statistics
	Clinic	N	Mean	Std. Deviation	Std. Error Mean
Dog	Clinic A	10	11.4000	5.29570	1.67465
	Clinic B	7	15.4286	2.43975	.92214
Independent Samples Test
		Levene's Test for Equality of Variances		t-test for Equality of Means
									95% Confidence Interval of the Difference
		F	Sig.	t	df	Sig. (2-tailed)	Mean Difference	Std. Error Difference	Lower	Upper
Dog	Equal variances assumed	4.628	.048	-1.865	15	.082	-4.02857	2.15979	-8.63206	.57492
	Equal variances not assumed			-2.107	13.433	.054	-4.02857	1.91175	-8.14517	.08803

The p-value for the test under the unequal variance assumption is 0.054. Hence retain the null hypothesis at the 0.05 significance level.

Comment: The mean number of dogs treated at two different vet clients is equal at the 0.05 significance level.