Assuming the length of nails in a large box of 3-inch nails is normally distributed with mean of 3 inches with standard deviation 0.05 Use the Cumulative Z-Score Table to answer the following questions. • What is the probability that a randomly selected nail from the box is longer than 3.0075 inches? Write your answers in decimal form using 4 decimal places. What is the probability that a randomly selected nail from the box is between 2.98 and 2.99 inches? Write your answers in decimal form using 4 decimal places. • If the manufacturer intends to discard the bottom 4.46% and the top 3.59% of nails, in terms of their lengths, what would be the cut-off lengths for nails to be discarded? Round your answers to two decimal places. Hint Low-end: inches High-end: inches

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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.