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A random sample is taken from the normally distributed data .Find the 95% confidence interval for...

A random sample is taken from the normally distributed data .Find the 95% confidence interval for the population mean ? .
The sample values are : 3 5 2 4 6 3 7 8 3 9

Math   Statistics-And-Probability   
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Answer #1

Let us consider the sample values is denoted by X as 3 5 2 4 6 3 7 8 3 9

From the given sample data, we get

  • sample size, n= 10,
  • sample mean=x̅ = 50/10=5,
  • sample standard deviation= s= 2.40

Since population standard deviation is not given and also sample size is small (n<30), so to find a confidence interval for the population mean μ, we will use t-test which is as below:

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