Quick Answer: What Is The Minimum Sample Size For Normal Distribution?

Does sample size affect t test?

The sample size for a t-test determines the degrees of freedom (DF) for that test, which specifies the t-distribution.

The overall effect is that as the sample size decreases, the tails of the t-distribution become thicker..

Why is 30 the minimum sample size?

One may ask why sample size is so important. The answer to this is that an appropriate sample size is required for validity. If the sample size it too small, it will not yield valid results. … If we are using three independent variables, then a clear rule would be to have a minimum sample size of 30.

How do you find the minimum sample size using the standard deviation?

First multiply the critical value by the standard deviation. Then divide this result by the error from Step 1. Now square this result. This result is the sample size.

How do you find the sample size for a 95 confidence interval?

How to Find a Sample Size Given a Confidence Interval and Width (unknown population standard deviation)za/2: Divide the confidence interval by two, and look that area up in the z-table: .95 / 2 = 0.475. … E (margin of error): Divide the given width by 2. 6% / 2. … : use the given percentage. 41% = 0.41. … : subtract. from 1.

What is Z for 95 confidence interval?

The Z value for 95% confidence is Z=1.96. [Note: Both the table of Z-scores and the table of t-scores can also be accessed from the “Other Resources” on the right side of the page.] What is the 90% confidence interval for BMI? (Note that Z=1.645 to reflect the 90% confidence level.)

What is a good sample size for a survey?

A good maximum sample size is usually 10% as long as it does not exceed 1000. A good maximum sample size is usually around 10% of the population, as long as this does not exceed 1000. For example, in a population of 5000, 10% would be 500. In a population of 200,000, 10% would be 20,000.

What is the minimum sample size for a quantitative study?

If the research has a relational survey design, the sample size should not be less than 30. Causal-comparative and experimental studies require more than 50 samples. In survey research, 100 samples should be identified for each major sub-group in the population and between 20 to 50 samples for each minor sub-group.

How do you know if a sample size is large enough?

Large Enough Sample ConditionYou have a symmetric distribution or unimodal distribution without outliers: a sample size of 15 is “large enough.”You have a moderately skewed distribution, that’s unimodal without outliers; If your sample size is between 16 and 40, it’s “large enough.”Your sample size is >40, as long as you do not have outliers.More items…•

How do you find the sample size when given the sample size and standard deviation?

The mean of the sample mean ˉX that we have just computed is exactly the mean of the population. The standard deviation of the sample mean ˉX that we have just computed is the standard deviation of the population divided by the square root of the sample size: √10=√20/√2.

What is the minimum sample size for at test?

10 Answers. There is no minimum sample size for the t test to be valid other than it be large enough to calculate the test statistic. Validity requires that the assumptions for the test statistic hold approximately.

What is the minimum sample size needed for a 95 confidence interval?

Remember that z for a 95% confidence level is 1.96. Refer to the table provided in the confidence level section for z scores of a range of confidence levels. Thus, for the case above, a sample size of at least 385 people would be necessary.

What is statistically valid sample size?

Statistically Valid Sample Size Criteria Probability or percentage: The percentage of people you expect to respond to your survey or campaign. Confidence: How confident you need to be that your data is accurate. Expressed as a percentage, the typical value is 95% or 0.95.

What is the sample size for 95 confidence?

How to calculate sample sizeDesired confidence levelz-score85%1.4490%1.6595%1.9699%2.581 more row

How do you find the sample size of a normal distribution?

The formula for determining sample size to ensure that the test has a specified power is given below: where α is the selected level of significance and Z 1-α /2 is the value from the standard normal distribution holding 1- α/2 below it. For example, if α=0.05, then 1- α/2 = 0.975 and Z=1.960.

How can I calculate standard deviation when mean and sample size is given?

To calculate the standard deviation of those numbers:Work out the Mean (the simple average of the numbers)Then for each number: subtract the Mean and square the result.Then work out the mean of those squared differences.Take the square root of that and we are done!