1) Statisticians always prefer larger samples sizes to small ones. Describe the effect of increasing the size of a sample (the number of participants in an experiment) from 25 to 100 on the following, assuming the mean and standard deviations of the samples remain constant: (6 pts) a. How would the margin of error of a 95% confidence interval change

The margin of error reduces to half of it original size

Step-by-step explanation:

From the question we are told the confidence level is  95% , hence the level of significance is    

=>  

Generally from the normal distribution table the critical value  of   is  

Generally the margin of error is mathematically represented as  

Let assume the standard deviation is  

When sample size is  n  = 25

When sample size is  n  = 100

So

Hence the margin of error reduces to half of it original size

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step-by-step explanation:

i would need to see the dot plot : )