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Statistics

Date Posted: 10/11/2019
Category: e.g. Algebra I
Due Date: 11/11/2019
Instruction
1. Sampling distribution of a sample size of 49 The spread of the sampling distribution of the mean would increase as the sample size decreased from the population size to a sample size of 49. The mean of the sample distribution would remain constant as the population distributing owing to the normality of distribution. The standard deviation of the sample size of 49 would be 4, which means that the distribution varies from 32 to 24. Σ of sampling distribution = σ/√n = 28/√49 = 28/7 = 4 2. Assumptions of the sampling distribution The first assumption is that the distribution of the population meets the assumption of normality. The second assumption is that the sample size obtained from the population is large enough. The third assumption is that the sample size was obtained randomly from the population. The fourth assumption is that the population mean is the same as the sample mean. 3. A sample size of 16 When sample sizes are small, it is difficult to determine spread, mean, and standard deviation of a sampling distribution. According to the Central Limit Theorem, a sample size that is less than 30 tends to violate the assumption of normality in the distribution of data.
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