Put in sample in 600

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Aug 6th, 2022
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How to put in sample in 600

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hi everybody this is eugene lachlan and welcome to my series of short how-to videos in this video weamp;#39;re going to learn how to calculate the confidence interval for a sample and weamp;#39;re going to learn how to do this by hand so first off letamp;#39;s take a look at the data that weamp;#39;re going to use in this example um iamp;#39;ve used this data before in previous videos these are the data for 14 randomly selected bags of food which weigh one kilogram or 1 000 grams so weamp;#39;ve randomly selected those from a production line as part of a quality control process and we want to be able to do do some statistical calculations with these data so the first thing iamp;#39;ve done with these sample of 14 here is iamp;#39;ve worked out the sample mean and we can see the sample mean x bar is equal to 996.21 grams s is the standard deviation that works out at 5.65 and n the sample size is 14. so weamp;#39;re going to need these some of these values in our later calculati

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The minimum sample would be 100. This would give you a rough, but still useful, idea about their opinions. The maximum sample would be 600, which would give you a fairly accurate idea about their opinions.
Professional researchers typically set a sample size level of about 500 to optimally estimate a single population parameter (e.g., the proportion of likely voters who will vote for a particular candidate). This will construct a 95% confidence interval with a Margin of Error of about 4.4% (for large populations).
As a general rule, sample sizes of 200 to 300 respondents provide an acceptable margin of error and fall before the point of diminishing returns.
The central limit theorem (CLT) states that the distribution of sample means approximates a normal distribution as the sample size gets larger, regardless of the populations distribution. Sample sizes equal to or greater than 30 are often considered sufficient for the CLT to hold.
ing to the central limit theorem, (a) if the sample data are approximately normal then the sampling distribution too will be normal; (b) in large samples ( 30 or 40), the sampling distribution tends to be normal, regardless of the shape of the data (2, 8); and (c) means of random samples from any distribution
Many statisticians concur that a sample size of 100 is the minimum you need for meaningful results. If your population is smaller than that, you should aim to survey all of the members. The same source states that the maximum number of respondents should be 10% of your population, but it should not exceed 1000.
A good sample size for an online survey can vary depending on several factors, including the population size, the level of precision desired, and the level of confidence desired. However, a sample size of at least 500-1000 respondents is recommended for online surveys.
The margin of error can be calculated using the formula: Margin of Error = Z * (sqrt(P * (1-P) / n)). For a sample size of 600, with a 95% confidence level and assuming an estimated population proportion of 0.5, the margin of error is approximately 0.026 (rounded to the tenth).

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