A manufacturer of a product filling machine beverage bottles, claims that the average machine-made filling beverage bottles of 100 ml per bottle. To assure this, the company that bought the machine re-tested by measuring the contents of the bottle that has been filled by the machine. The results obtained from measurements of the sample are as follows:

101, 99, 104, 103, 102, 100, 98, 101, 101, 100, 99, 97, 98, 100, 105, 101, 103, 104, 96, 97

Level of confidence (1-) used in testing is 95%.

Solution:

From the data can be obtained:
= 100 (average claimed by the engine company)
= 100,45 (average sample measurement results)
s = 1,627998 (standard deviation of the sample)
n = 20 (number of the sample)
v = 19 (degrees of freedom= n-1)
= 0,05 (level of significance)

Hypothesis:

Statistical Test:


t = 1,236

Decision Making:
With level of significance () 0,05 then )/2 is 0,025 and degrees of freedom v = 19, so from t distribution table obtained - dan are -2,093 and 2,093. If compared with the t count, then t count is between those numbers, so that Ho received. Therefore, a decision that can be taken with 95% confidence level, test results are not significantly different from what was claimed by the manufacturer of bottle filling machine.

One sample t test (two sided) was used to determine whether the average value of a sample of the same or significantly different with a value comparison. T test is used if the number of sample data under 30.

Hypothesis:

Statistic Test:

Decision Making:
Decision making is based on a comparison of t count and t tables. If t count exceeds than   or less than -  then Ho is rejected. Whereas if t count is between -  and   the Ho accepted.

Note:

•   is the significance level obtained from figure 1 minus the confidence level. Usually the level of trust that is often used is 95%, so the significance level ( ) = 1-95% = 5% or 0.05.
• v is the degrees of freedom, which is obtained from the number of data samples (n) minus 1.
• From values   ??and degrees of freedom (v) t values ??can be obtained tables that can be seen in the t distribution table.

Suppose the degrees of freedom is v, where v = n-1, and with a significant degree is . Then the area under the curve of distribution is like the table below.

The table below is used only if n is smaller or equal to 30. If n is greater than 30 then the distribution table used is the normal distribution table (z table).

Critical value of Student-t Distribution

v
	0,10	0,05	0,025	0,01	0.005
1	3,078	6,314	12,706	31,821	63,657
2	1,886	2,920	4,303	6,965	9,925
3	1,638	2,353	3,182	4,541	5,841
4	1,533	2,132	2,776	3,747	4,604
5	1,476	2,015	2,571	3,365	4,032
6	1,440	1,943	2,447	3,143	3,707
7	1,415	1,895	2,365	2,998	3,499
8	1,397	1,860	2,306	2,896	3,355
9	1,383	1,833	2,262	2,821	3,250
10	1,372	1,812	2,228	2,764	3,169
11	1,363	1,796	2,201	2,718	3,106
12	1,356	1,782	2,179	2,681	3,055
13	1,350	1,771	2,160	2,650	3,012
14	1,345	1,761	2,145	2,624	2,977
15	1,341	1,753	2,131	2,602	2,947
16	1,337	1,746	2,120	2,583	2,921
17	1,333	1,740	2,110	2,567	2,898
18	1,330	1,734	2,101	2,552	2,878
19	1,328	1,729	2,093	2,539	2,861
20	1,325	1,725	2,086	2,528	2,845
21	1,323	1,721	2,080	2,518	2,831
22	1,321	1,717	2,074	2,508	2,819
23	1,319	1,714	2,069	2,500	2,807
24	1,318	1,711	2,064	2,492	2,797
25	1,316	1,708	2,060	2,485	2,787
26	1,315	1,706	2,056	2,479	2,779
27	1,314	1,703	2,052	2,473	2,771
28	1,313	1,701	2,048	2,267	2,763
29	1,311	1,699	2,045	2,462	2,756
inf	1,282	1,645	1,960	2,326	2,576

Idly while I download the data entry SPSS software. Wow,,, apparently the latest version of SPSS is SPSS version 19. Earlier last version that I know and I often use is SPSS version 15. When I made the first thesis, for the processing of my data using SPSS version 13. Meanwhile, when first learning SPSS, I used SPSS version 7. It seems like every year is always released the newest version of SPSS. There may also be coming out two versions in a single year. Because I’ve used SPSS version 11.5.

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Statistical software which I use only SPSS and I not that familiar with the software Sofa Statistics. So from that which I want to download the SPSS software as well. And because I do not want to buy the expensive SPSS software (for lack of money), then I am forced to just download SPSS software along with its crack. For those who want to, ya I love the link.

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There are two statistical methods, namely descriptive statistics and inductive statistics. Descriptive statistics describe the characteristics of data, such as average, median, mode, deviation, and various other data characteristics. Descriptive statistics also explain the data in graphical form to make the data more easily understood by data users. While an inductive statistical methods to draw inferences about the population. Inductive form of statistical estimation, hypothesis testing, forecasting and others.

In a report such as thesis research, thesis or other containing statistical data, analysis on the results of these studies can not be separated from the descriptive statistical methods. In it there will be tables, graphs, and other numbers that provides an explanation about the characteristics of research data. Furthermore, if there is an assessment, testing or forecasting in the study then it will be there also statistical analysis using an inductive method.

If more attention then the contents of the research report presented the first statistical method is a statistical method dekriptif then proceed with inductive statistics. Both were consistent in explaining the research report.

So obviously if you want to make statements such as thesis research and thesis we will not be separated from the two statistical methods mentioned above. From the beginning of creation thesis or theses should we have to imagine how the presentation of descriptive statistics and statistical methods of inductive what to use.

I just found out SPSS and PASW are the same. Since last I am using SPSS (Version 15) was SPSS has undergone many changes. On July 28, 2009, SPSS acquired by IBM for U.S. $ 1.2 billion. Since then SPSS  renamed PASW (Predictive Analytics Software) with the first version of PASW Statistics 18. In version 19, the name was changed back into the SPSS Version 19.

Although the name back to the beginning, it stands for change. Extension of the previous SPSS is Statistical Package for the Social Sciens. Then on 19 versions of this, an extension of SPSS is Statistical Product and Service Solutions. This change is intended for the use of SPSS is no longer for solving problems of social statistical data processing only. But SPSS is capable of solving the problems of economic statistical data processing and statistics in other fields.

Nearly a month has been our doing data entry. Because so much data that must dientry, almost exhausted my spirit to do this activity. When the activity is nearly finished my spirit arise again. To maintain this spirit, I try to interpret some data entry activities so that I do not consider this activity a futile activity.

Data entry is part of the statistical process. Data entry is to move the data contained in the questionnaire into the computer. Other terms are simplifying the raw data by changing existing data in the questionnaire (hardcopy) to the data in the form of computer files (softcopy).

With the transfer of data from the questionnaires into the computer processing and data analysis will be faster. Data analysis can be done easily through statistical software such as SPSS, Minitab, SAS or other statistical software.

To obtain a good regression model then some assumptions must be met. These assumptions are normality, multicollinearity, autocorrelation, and  homoskedastisitas. With the assumptions are met, then the regression model is used both for forecasting and forecasting errors in the small.

Today I tried to process all the data I have to create regression models. To obtain a good regression test then I regression model assumptions. After my test, it turns out all of the data is no assumption is fulfilled in its entirety. I often found was that one assumption is not fulfilled, while other assumptions are met. The assumption is rarely fulfilled multicollinearity assumption.

The data are normally distributed or nearly normal is mandatory requirement to conduct parametric statistical analysis. Usually on the number of sampled data bit (under 30) are often not normally distributed so that parametric statistical analysis could not be done. Solution if you want to continue the analysis of these data is to use nonparametric statistical analysis.

Because more powerfull than parametric statistics nonparametric statistics then we should do the addition of the sample so that the data distribution can approach normality and parametric statistical analysis could be done. Data are the number of samples already in the hundreds or thousands of usually can be considered normal, so we no longer have to test normality.

Sometimes certain conditions the addition of the sample can not be done. This can be because if you create a new sample then it will take a considerable cost. It could also be due to the timing condition on additional samples is no longer appropriate to the conditions at the time of sample collection before.

If the situation so, then another solution is to transform the data into another form. For example the form of log x, ln x or 1/x, then the data is transformed kenormalannya tested again. If it turns out the data transformation results are still not normally distributed as well, then do the analysis with nonparametric statistics is the best solution.