Suppose that you are testing the hypotheses H0​: μ=17   HA​: μ>17. A sample of size 25 results in a sample mean of 17.5 and a sample standard deviation of 2.2. ​a) What is the standard error of the​ mean? ​b) What is the critical value of​ t* for a 95​% confidence​ interval? ​c) Construct a 95​% confidence interval for μ. ​d) Based on the confidence​ interval, at α=0.025 can you reject H0​? Explain

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.