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Is it necessary that sample sizes be equal for a two sample test?
No.
Does the central limit theorem allows the use of the normal distribution to analyze the sample mean if the sample sizes are large enough?
Yes. Roughly, very large samples are very likely to have subsets data points having very similar means and distributions. Large numbers of such subsets will tend to be normal distributed (Why?) and will tend to make the total sample be normally distributed.
Is it desirable to have a two sample test with equal sizes?
If they are not matched pairs, it does not really matter. If the combined sample size is fixed (because of costs, say) then it is better to have a larger sample where more variability is expected.
What can the difference between mean and median values infer. If the mean is 8 655.7 and the median -8 653.0?
First, I will give an example, similar to your question: -11000 -9000 +44000 mean = 8,000 and median = -9000. Symmetrical distributions after infinite sampling will show no difference in mean and median. Large differences are possible with small sample sizes even with symmetrical distributions. If the sample is large and the difference is large, this infers that the distribution is asymmetrical. The skewness of the distribution can be calculated.
Why is A bell shaped probability distribution curve is NOT necessarily a normal distribution?
There are infinitely many sets of parameters that will generate a bell shaped curves - or near approximations. The Student's t or binomial, for large sample sizes get very close to the Gaussian distribution. There are others, too.
Disadvantages of a large sample size confidence Interval in statistices?
A disadvantage to a large sample size can skew the numbers. It is better to have sample sizes that are appropriate based on the data.
When designing an experiment a benefit of larger sample sizes would be more?
Accurate estimates of various statistics.
Does the Student t distribution takes different values for a different sample size?
Yes, but it converges to the Gaussian (Normal) dirstribution for large sample sizes.
Is it necessary that sample sizes be equal for a two sample test?
No.
Does the central limit theorem allows the use of the normal distribution to analyze the sample mean if the sample sizes are large enough?
Yes. Roughly, very large samples are very likely to have subsets data points having very similar means and distributions. Large numbers of such subsets will tend to be normal distributed (Why?) and will tend to make the total sample be normally distributed.
What size are the sample sizes at fashion shows?
Sample sizes vary from designer to designer but a common range is between 0-2, 4 at most.
What does the Central Limit Theorem say about the traditional sample size that separates a large sample size from a small sample size?
The Central Limit Theorem states that the sampling distribution of the sample means approaches a normal distribution as the sample size gets larger — no matter what the shape of the population distribution. This fact holds especially true for sample sizes over 30.
Which is the correct set of assumptions needed for comparing 3 or more means?
Equal variances, independent observations and normality
What is definition of protein profiling?
Protein profiling is a process that lets individuals quickly discover the differences in the spectra of protein samples from minute sample sizes. Once discovered, a large sample can be used to find and purify with other arrays.
In a controlled experiment how do the number of trials and sample sizes effect the results?
The number of trials and sample sizes generally increase the accuracy of the results because you can take the average or most common results in the experiment
When using the distribution of sample mean to estimate the population mean what is the benefit of using larger sample sizes?
The variance decreases with a larger sample so that the sample mean is likely to be closer to the population mean.
Do storage tents come in large sizes?
Yes, storage tents come in large sizes. One can know this by assuming that storage has to be large in order to contain many objects. Therefore, storage tents do come in large sizes.
