Phonics is an instructional method in which children are taught to connect sounds with letters or groups of letters. A sample of 138 first-graders who were learning English were asked to identify as many letter sounds as possible in a period of one minute. The average number of letter sounds identified was 34.09 with a standard deviation of 23.13. Part A answer: A 98% confidence interval for the mean number of letter sounds identified in one minute is 29.46<μ<38.72 If a 99.5% confidence interval were constructed with these data, would it be wider or narrower than the interval constructed in Part (a)? The confidence interval would be (Choose one: wider or Narrower).

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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.