Question

Run descriptive statistics on the dementia patients’ memory scores (make sure to include the mean and confidence interval by using the “Explore” option as shown in this week’s presentation).

You want to compare your sample dementia patients with a population of age matched controls, and you only know their mean (m = 12.2). Run a single sample t test. Paste the output below.

Write a results section in current APA style describing the outcome. All homework results sections must follow the example given in the SPSS presentation and in the textbook. Results sections are multiple sentences (a single paragraph) and must include the APA-formatted statistical statement and whether the null hypothesis is accepted or rejected.

You want to compare your sample dementia patients with a population of patients with TBI and you only know their mean (m = 8.1). Run a single sample t test. Paste the output below.

Write a results section in current APA style describing the outcome. All homework results sections must follow the example given in the SPSS presentation and in the textbook. Results sections are multiple sentences (a single paragraph) and must include the APA-formatted statistical statement and whether the null hypothesis is accepted or rejected.

8	3	11	12	6
5	4	8	9	8
7	9	5	4	10

Answer 1

Given Dataset

	Data
	8
	5
	7
	3
	4
	9
	11
	8
	5
	12
	9
	4
	6
	8
	10
Sum	109
Mean	7.27
Std. Dev	2.71

descriptive statistics on the dementia patients’ memory scores
Mean	7.27
Standard Error	0.70011337
Median	8
Mode	8
Standard Deviation	2.71
Sample Variance	7.4
Kurtosis	-0.95
Skewness	0.07
Range	9
Minimum	3
Maximum	12
Sum	109
Count	15
Confidence Level(95.0%)	1.50

compare your sample dementia patients with a population of age matched controls

given m = 12.2

Hypothesis : alpha = 0.05

H₀ : mean = m

H₁ : mean m

test statistic

where = sample mean

m = population mean

s = std dev

n = number of observations

= -7.04

since we considered a two tail test we have to consider |t₀| = 7.04

critical value = t_0.025,14 = 2.145

since |t₀| is greater than critical value We reject null hypothesis.

confidence interval =

CI = (5.77, 8.77)

compare your sample dementia patients with a population of patients with TBI

compare your sample dementia patients with a population of age matched controls

given m = 8.1

Hypothesis :

H₀ : mean = m

H₁ : mean m

alpha = 0.05

test statistic

where = sample mean

m = population mean

s = std dev

n = number of observations

= -1.18

since we considered a two tail test we have to consider |t₀| = 1.18

critical value = t_0.025,14 = 2.145

since |t₀| is less than critical value We fail to reject null hypothesis.