The class sizes of elementary school classes in a public school district are normally distributed with an unknown population mean and standard deviation. a random sample of 27 classes is taken and results in a sample mean of 20 students and sample standard deviation of 6 students. the margin of error for a 98% confidence interval estimate for the population mean using the student's t-distribution is 2.86. find a 98% confidence interval estimate for the population mean using the student's t-distribution.

Step-by-step explanation:

The confidence interval estimate for the population mean is given by :-

, where is the sample mean and ME  is the margin of error.

Given : Sample mean:

The margin of error for a 98% confidence interval estimate for the population mean using the Student's t-distribution :

Now, the confidence interval estimate for the population mean will be :-

Hence, the 98% confidence interval estimate for the population mean using the Student's t-distribution =  

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