For the followingzscores, determine the percentage of scores that lie between the mean and thezscore:

• (a)2
• (b)-1
• (c)2.29
• (d)-3.13
• (e)0
• (f)0.54
• (g)-0.54

A hospital in a large city records the weight of every infant born at the hospital. The distribution of weights is normally shaped, has a mean= 2.9kilograms, and has a standard deviation= 0.45.Determine the following:

• (f) Beyond what weights do the most extreme 5% of the scores lie?

A statistician studied the records of monthly rainfall for a particular geographic locale. She found that the average monthly rainfall was normally distributed with a mean=8.5centimeters and a standard deviation=2.What is the percentile rank of the following scores?

• (a)10.5
• (b)13
• (c)5.8
• (d)4.3
• (e)8

A statistician studied the records of monthly rainfall for a particular geographic locale. She found that the average monthly rainfall was normally distributed with a mean=7.2centimeters and a standard deviation=2.5.What percentage of scores are between the following scores?

• (a)6.2and10.4
• (b)5.5and9.9
• (c)7.2and11.3