Experiment 1 Application of Statistical Concepts in the Determination of Weight Variation in Samples

We conduct an independent sample t-test using Excel, and obtain the following output (see t-test-height)

Statistics provides us with very useful tools and techniques that aide us in dealing with real world scenarios. I have been able to learn several useful concepts by studying statistics that can aide me in making rational and informed decisions that are supported by the analysis results. Statistics as a discipline is the application and development of various processes put in place to gather, interpret, and analyse the information. The quantification of biological, social, and scientific phenomenons, design and analysis of experiments and surveys, and application of

2) Compute the standard deviation for each of the four samples. Does the assumption of .21 for the population standard deviation appear reasonable?

The lab uses the measurements of a wooden dowel in length and diameter to collect data in order to interpret data in report form. The data is used to produce statistical data and how to correctly present it. A ruler and micrometer were used to measure the dimensions. Spreadsheets are then constructed in order to generate standard deviation, mean, median, mode, frequency, as well as variation of length, diameter, volume, and cross sectional area of the

Before conduct testing, we made professional judgment to identify the most risky items in a population for detailed testing. In this process, the sufficiency of population will be addressed because that the risk-based approach will only test the sampled part of population, the remaining part of population will be immaterial or testing in other manners. After imported data file, we must ensure the accurate of data population before conduct testing.

There were three different runs in order to have comparable data and to increase the validity of the experiment. The first run gave 39% of Sodium Bicarbonate. The second run gave 34% of Sodium Bicarbonate while the third one gave 39%, which is the same as the first run. The average percentage was 37% which is much lower than the manufacturer's percentage of 59%. The percent error came out to be -37%.

If the total sample size is over 40, two sample t tests tend to be very safe even if

Indicating the individual number 65 gives a 5 point range to the mean. It seems the median is the most accurate way to discribe the data set, as it uneffected by the outlier value.

The degree of freedom in this experiment was 3. The chi-square value that was calculated was 1.4481. The p-value was 0.6943.

According to the above results from MINITAB, the p-value of 0.038 is smaller than the significance level of 0.05; consequently, the null hypothesis will be rejected. There is sufficient evidence to support the

This lab was not repeated to examine for consistent results, which may result in data where precision and accuracy are compromised. In this investigation,

deviations. That is, unusual values are either less than μ - 2σ or greater than μ + 2σ.

s squared subscript p=(n1-1)s squared2 subscript1+(n2-1)s squared2 subscript2]/n1+n2-2. The numerator of the function, n1+n2-2, is the degrees of freedom.

In this case, level of significance, α was not provided. Therefore, the analysis will be evaluated based on two α values which are:

Evaluating the first data set from the table, for n = 20, A2 = 0.18. Using the hint provided, the estimated standard deviation is 0.234. The process capability as obtained is 1.03. This is below 1.33, which means that the process is not capable.