Question

In: Statistics and Probability

The mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally...

The mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally distributed with standard deviation 0.8 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible.

a. What is the distribution of X? X ~ N(,)

b. What is the median giraffe height?  ft.

c. What is the Z-score for a giraffe that is 20 foot tall?

d. What is the probability that a randomly selected giraffe will be shorter than 17.9 feet tall?

e. What is the probability that a randomly selected giraffe will be between 17.7 and 18.3 feet tall?

f. The 80th percentile for the height of giraffes is  ft.

Solutions

Expert Solution


Related Solutions

The mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally...
The mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally distributed with standard deviation 1 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( , ) b. What is the median giraffe height? c. What is the Z-score for a giraffe that is 19 foot tall? 8.5 Incorrect d. What is the...
The mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally...
The mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally distributed with standard deviation 0.8 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. What is the median giraffe height? ft. c. What is the Z-score for a giraffe that is 21 foot tall? d. What is the probability that a...
The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally...
The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 1 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(Correct,Correct) b. What is the median giraffe height?  ft. c. What is the Z-score for a giraffe that is 18.5 foot tall? d. What is the probability that a randomly...
The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally...
The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(___,______) b. What is the median giraffe height? _____ft. c. What is the Z-score for a giraffe that is 19 foot tall? d. What is the probability that a...
The mean height of an adult giraffe is 19 feet. Suppose that the distribution is normally...
The mean height of an adult giraffe is 19 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. What is the median giraffe height? ft. c. What is the Z-score for a giraffe that is 21 foot tall? d. What is the probability that a...
Suppose the height of adult men in the US is roughly normally distributed with a mean...
Suppose the height of adult men in the US is roughly normally distributed with a mean of 80 inches and a standard deviation of 6 inches. (a) What is the probability of an adult male being taller than 70 inches? (b) Approximately 15% of adult men are shorter than how many inches?
The height of all adult females in Georgia is normally distributed with a mean height of...
The height of all adult females in Georgia is normally distributed with a mean height of 67.4 inches and a standard deviation of 2.8 inches. A random sample of 4 females from Georgia are selected. What is the probability the mean height of the 4 females is greater than 68.4 inches? Do not round any values until you get to your final answer. Round your final answer to three decimals of accuracy (e.g. 0.08493 would round to 0.085) Your Answer:
The average adult giraffe is 17 feet tall. After a couple of years of horrible drought...
The average adult giraffe is 17 feet tall. After a couple of years of horrible drought and famine in a particular area, an animal specialist thinks that the average height of adult giraffe is now shorter than the assumed average. a) What is this animal specialist's null and alternative hypothesizes? b) The animal specialist measured 37 giraffes; their average height was 15.8 feet and their standard deviation was 1.1 feet. Test the biologist’s claim at the α= 0.01 level. What...
Adult male height is normally distributed with a mean of 69.2 inches and a standard deviation...
Adult male height is normally distributed with a mean of 69.2 inches and a standard deviation of 2.28 inches. a) If an adult male is randomly selected, what is the probability that the adult male has a height greater than 69.1 inches? Round your final answer to four decimal places. b) If 28 adult male are randomly selected, what is the probability that they have a mean height greater than 70 inches? Round your final answer to four decimal places.
1.Assume that the heights of adult women are normally distributed with a mean height of 160...
1.Assume that the heights of adult women are normally distributed with a mean height of 160 centimeters and the standard deviation is 8 centimeters. What percentage of individuals have heights less than 160 centimeters? 2. Find the probability that a randomly selected individual has a height greater than 176 centimeters. 3. Find the probability that a randomly selected individual has a height less than 152 centimeters. 4. Can you determine the probability that a randomly selected individual has a height...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT