Kentucky Fish and Wildlife claim that a new lake in a city park has fish of various sizes with a mean length of 7.5 inches and a standard deviation of 0.3 in. The distribution of the lengths of these fish is approximately normal. a) Given the mean and standard deviation for Fish and Wildlife's claim, label the diagram of the normal distribution that represents this situation. Be sure to label all parts of the distribution that correspond to the mean, +1 standard deviation, +1 standard deviation, etc. in the blanks below. -30-20 -10 μ 10 20 За X b) In this diagram, approximately what percentage of fish are between -1 standard deviations and +1 standard deviations?

According to data for a​ population, 3-year-old boys have a mean height of 39 inches and a standard deviation of 2 inches. Assume the distribution is approximately Normal.  Find the percentile measure for a height of 41 inches for a​ 3-year-old boy

Suppose the distribution of heights of a group of 300 children is normal, with a mean of 150 centimeters and a standard deviation of 12 centimeters. About how many of these children are taller than 162 centimeters? children

If the weight of fertilizer in a 40-pound bag is normally distributed with a standard deviation of 0.5 pounds, what is the range of weights of bags of fertilizer within two standard deviations of the mean?

Willow Road and Arroyo Seco are schools in different states. The heights of students at Willow Road have a population mean of 50.4 inches and a standard deviation of 6 inches. The heights of students at Arroyo Seco have a population mean of 54.3 inches with a standard deviation of 2.3 inches. For each school, the distribution of the heights of students is clearly bell-shaped.Elsa is a student at Willow Road and is 67 inches tall. Jane is a student at Arroyo Seco and is 59 inches tall.

The mean speed of vehicles along a stretch of highway is 75 miles per hour with a standard deviation of 3.8 miles per hour. Your current speed along this stretch of highway is 62 miles per hour. What is the z-score for your speed?

If the mean of a set score is 65 and the standard deviation is 15, what is the zscore of a person whose raw score is 50?

According to the US Census Bureau. the number of people in a household has amean of 2.6 and a standard deviation of 1.5. Suppose the census bureauinstead had estimated this mean using a random sample of 225 homes and that sample had a mean of 2.4 and standar deviation of 1.4. Describe the center and spreadof the sample mean for 225 homes. What does the distribution describe?