Let X and S be the sample mean and sample standard deviation

Let X and S be the sample mean and sample standard deviation, respectively, of a random sample size n from a normal distribution N(mu, sigma). The following random variable, T = X - mu/2/square root n has a T-distribution with n-1 degrees of freedom Using the T-Table, find the constant c so that for a sample of size n = 25: With c as defined above and if X and s are observed values of X and S respectively, how would you interpret the interval X plusminus CS ?

Solution

 Let X and S be the sample mean and sample standard deviation, respectively, of a random sample size n from a normal distribution N(mu, sigma). The following ra

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