Whales Whales have one of the longest gestation periods of any mammal. According to whalefacts.org, the mean gestation period for a whale is 14 months. Assume the distribution of gestation periods is Normal with a standard deviation of 1.2 months. a. Find the standard score associated with a gestational period of 12.8 months. b. Using the Empirical Rule and your answer to part a, what percentage of whale pregnancies will have a gestation period between 12.8 months and 14 months? c. Would it be unusual for a whale to have a gestation period of 18 months? Why or why not?
Whales Whales have one of the longest gestation periods of any mammal. According to whalefacts.org, the mean gestation period for a whale is 14 months. Assume the distribution of gestation periods is Normal with a standard deviation of 1.2 months. a. Find the standard score associated with a gestational period of 12.8 months. b. Using the Empirical Rule and your answer to part a, what percentage of whale pregnancies will have a gestation period between 12.8 months and 14 months? c. Would it be unusual for a whale to have a gestation period of 18 months? Why or why not?
Solution Summary: The author determines the standard score associated with a gestational period of 12.8 months. The required percentage is the area between the standards -1 and 0.
Whales Whales have one of the longest gestation periods of any mammal. According to whalefacts.org, the mean gestation period for a whale is 14 months. Assume the distribution of gestation periods is Normal with a standard deviation of 1.2 months.
a. Find the standard score associated with a gestational period of 12.8 months.
b. Using the Empirical Rule and your answer to part a, what percentage of whale pregnancies will have a gestation period between 12.8 months and 14 months?
c. Would it be unusual for a whale to have a gestation period of 18 months? Why or why not?
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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