The weights of Pugs (a type of dog) are normally distributed with a mean of 16 pounds and standard deviation of 0.7 pound. The weights of Pekingese dogs are also normally distributed with mean of 14 pounds and standard deviation of 0.5 pound. Suppose samples of size 15 are randomly selected from each breed of dog. (High School Level) 1) Describe the sampling distribution for the difference in mean weights of Pugs and Pekingese dogs in samples of size 15. (Pug – Pekingese) 2) What is the probability that the difference in mean weights of samples of 15 Pugs & samples of 15 Pekingese is less than 1.8 pounds? 3) What is the probability that the difference in mean weights of samples of 15 Pugs & samples of 15 Pekingese is within a half pound of the mean? 4) What difference in mean weights of samples of 15 Pugs & samples of 15 Pekingese is at the 40th percentile? 5) What difference in mean weights of samples of 15 Pugs & samples of 15 Pekingese is in the top 5%?

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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.