Statistics - Descriptive Statistics Projects

Assignment #4a (value =2 points): Instructions: Use SPSS to solve Data Analysis Problem 1 in chapter 5.

Assignment #4a (value =2 points):

Instructions: Use SPSS to solve Data Analysis Problem 1 in chapter 5. Use Assignment 4a Tutorial.pdf from ADDITIONAL RESOURCES to guide you through this assignment.

Assignment #4b (value =3 points):

Instructions: Use SPSS to solve Data Analysis Problem 6 in chapter 6 . Use Assignment 4 b Tutorial.pdf from ADDITIONAL RESOURCES to guide you through this.

Solution:

Assignment 4a

The following variables will be analyzed:

Sibs

Descriptives
			Statistic	Std. Error
NUMBER OF BROTHERS AND SISTERS	Mean		3.85	.084
	95% Confidence Interval for Mean	Lower Bound	3.68
	95% Confidence Interval for Mean	Upper Bound	4.01
	5% Trimmed Mean		3.54
	Median		3.00
	Variance		9.883
	Std. Deviation		3.144
	Minimum		0
	Maximum		24
	Range		24
	Interquartile Range		3
	Skewness		1.787	.065
	Kurtosis		4.728	.130

The histogram is shown below:

The distribution seems to be rather skewed, so we would prefer to use the median as the measure of central tendency.

Educ
The following descriptive statistics are obtained:

Descriptives
			Statistic	Std. Error
Highest year of school completed	Mean		13.23	.077
	95% Confidence Interval for Mean	Lower Bound	13.08
	95% Confidence Interval for Mean	Upper Bound	13.38
	5% Trimmed Mean		13.25
	Median		13.00
	Variance		8.378
	Std. Deviation		2.895
	Minimum		0
	Maximum		20
	Range		20
	Interquartile Range		4
	Skewness		-.126	.065
	Kurtosis		.725	.130

The histogram is shown below:

The distribution is moderately symmetric, so we can use either the mean or median.

hrs1

The following descriptive statistics are

Descriptives
			Statistic	Std. Error
Number of hours worked last week	Mean		42.51	.455
	95% Confidence Interval for Mean	Lower Bound	41.62
	95% Confidence Interval for Mean	Upper Bound	43.41
	5% Trimmed Mean		42.28
	Median		40.00
	Variance		188.514
	Std. Deviation		13.730
	Minimum		3
	Maximum		89
	Range		86
	Interquartile Range		10
	Skewness		.312	.081
	Kurtosis		1.633	.162

The distribution looks a little skewed only, and it is rather spiky. The mean is probably an appropriate measure of central tendency.

Assignment 4b

(a) The objective of this problem is testing whether or not the variable satjob is related to the variables education , income or age .

Satjob and Education

The following plot is obtained:

It seems based on the plot that for the groups "A little dissatisfied" and "Very Dissatisfied" the distribution is much more uniform that the other two groups where a bell shaped distribution arises.

It seems that there may be evidence that satjob and education are related.

Satjob and Income

The following plot is obtained:

Again, based on the plot that for the groups "A little dissatisfied" and "Very Dissatisfied" the distribution is much more uniform that the other two groups where some right-skewed distribution arises.

It seems that there may be evidence that satjob and income are related.

Satjob and Income

The following plot is obtained:

Based on the plots, it seems that there may be evidence that satjob and age are related.

Now, all the means will be compared with SPSS

Report
JOB OR HOUSEWORK		Age of respondent	Highest year of school completed	RESPONDENTS INCOME FOR LAST YEAR
VERY SATISFIED	Mean	42.76	13.66	14.70
	N	506	508	435
	Std. Deviation	13.367	2.730	5.965
MOD. SATISFIED	Mean	39.64	13.56	14.20
	N	444	441	388
	Std. Deviation	12.601	2.777	5.869
A LITTLE DISSAT	Mean	41.61	13.52	14.39
	N	92	92	82
	Std. Deviation	11.866	2.642	5.468
VERY DISSATISFIED	Mean	38.32	13.81	13.15
	N	37	37	33
	Std. Deviation	10.459	2.402	5.438
Total	Mean	41.23	13.61	14.41
	N	1079	1078	938
	Std. Deviation	12.920	2.729	5.866

Even though the distributions look very different, the means are fairly similar, for the variables, for the groups defined by satjob .

(b) Now the comparison of means will be performed by sex:

Males :

Report
JOB OR HOUSEWORK		Age of respondent	Highest year of school completed	RESPONDENTS INCOME FOR LAST YEAR
VERY SATISFIED	Mean	41.50	13.78	16.21
	N	218	219	205
	Std. Deviation	12.791	2.887	5.107
MOD. SATISFIED	Mean	39.41	13.87	15.38
	N	230	229	216
	Std. Deviation	11.990	2.776	5.543
A LITTLE DISSAT	Mean	37.03	13.21	15.00
	N	34	34	32
	Std. Deviation	12.425	2.422	6.380
VERY DISSATISFIED	Mean	36.57	13.71	14.08
	N	14	14	12
	Std. Deviation	12.056	2.614	6.082
Total	Mean	40.09	13.78	15.69
	N	496	496	465
	Std. Deviation	12.427	2.796	5.437

Female s

Report
JOB OR HOUSEWORK		Age of respondent	Highest year of school completed	RESPONDENTS INCOME FOR LAST YEAR
VERY SATISFIED	Mean	43.72	13.57	13.35
	N	288	289	230
	Std. Deviation	13.732	2.607	6.349
MOD. SATISFIED	Mean	39.87	13.22	12.72
	N	214	212	172
	Std. Deviation	13.250	2.743	5.947
A LITTLE DISSAT	Mean	44.29	13.71	14.00
	N	58	58	50
	Std. Deviation	10.751	2.766	4.823
VERY DISSATISFIED	Mean	39.39	13.87	12.62
	N	23	23	21
	Std. Deviation	9.486	2.322	5.113
Total	Mean	42.19	13.47	13.16
	N	583	582	473
	Std. Deviation	13.260	2.664	6.006

A slightly higher variability between the groups is observed for males than females, even though the means are fairly close together, for all groups, all genders.

Price: $16.76

Solution: The downloadable solution consists of 13 pages, 376 words and 6 charts.
Deliverable: Word Document