Question

1) Explain why being able to obtain areas under the standard normal curve is important. 2)...

1) Explain why being able to obtain areas under the standard normal curve is important.

2) What is meant by the statement that a population is normally distributed?

Homework Answers

Answer #1

1.

The normal distribution is the most important probability distribution in statistics because it fits many natural phenomena. For example, heights, blood pressure, measurement error, and IQ scores follow the normal distribution.

The normal distribution is the most important probability distribution in statistics because many continuous data in nature and psychology displays this bell-shaped curve when compiled and graphed.

(2). normally distributed means that if data are drawn (come from) a population that has a normal distribution.

When data are normally distributed, plotting them on a graph results a bell-shaped and symmetrical image often called the bell curve.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
2. a) Find the area under the standard normal curve to the right of z =...
2. a) Find the area under the standard normal curve to the right of z = 1.5. b) Find the area under the standard normal curve to the left of z = 1. c) Find the area under the standard normal curve to the left of z = -1.25. d) Find the area under the standard normal curve between z = -1 and z = 2. e) Find the area under the standard normal curve between z = -1.5 and...
1. Find the indicated area under the standard normal curve. To the right of z=- 2.69...
1. Find the indicated area under the standard normal curve. To the right of z=- 2.69 2. Assume the random variable x is normally distributed with mean μ=83 and standard deviation σ =5. Find the indicated probability. ​P(xless than<80​)
1. Find the area under the standard normal curve to the left of z = 1.66....
1. Find the area under the standard normal curve to the left of z = 1.66. 2. Find the area under the standard normal curve between z = -1.75 and z = 0.96. 3. Find the z-score for which the area to its right is 0.67. 4. A normal population has mean 176=m and a standard deviation .38=s What proportion of the population is more than 185?
Determine the following areas under the standard normal (z) curve: (Round your answers to four decimal...
Determine the following areas under the standard normal (z) curve: (Round your answers to four decimal places.) (a) To the left of −1.29 (b) To the right of 1.29 (c) Between −1 and 1 (d) To the left of 0 (e) To the right of −4 (f) Between −1.5 and 2.5 (g) To the left of 0.23
For each of the following cases involving areas under the standard normal curve, decide whether the...
For each of the following cases involving areas under the standard normal curve, decide whether the first area is bigger, the second area is bigger, or the two areas are equal. The area between z = 0 and z = 0.3, or the area between z = 2.0 and z = 2.3 The area between z = 1.5 and z = 2, and z = -1.5 and z = -2.0 The area to the left of z = 1.0 and...
1. About ____ % of the area under the curve of the standard normal distribution is...
1. About ____ % of the area under the curve of the standard normal distribution is between z = − 1.863 z = - 1.863 and z = 1.863 z = 1.863 (or within 1.863 standard deviations of the mean). 2. About ____ % of the area under the curve of the standard normal distribution is outside the interval z=[−2.24,2.24]z=[-2.24,2.24] (or beyond 2.24 standard deviations of the mean). 3. About ____ % of the area under the curve of the...
1- Find the area under the standard normal curve between z=0.76 and z=1.90. Round your answer...
1- Find the area under the standard normal curve between z=0.76 and z=1.90. Round your answer to four decimal places. 2- Find the area under the standard normal curve between z=-2.49 and z=-0.44. Round your answer to four decimal places. 3- Find the area under the standard normal curve between z=-2.26 and z=1.88. Round your answer to four decimal places. 4- Find the area under the standard normal curve to the right of z=2.37. Round your answer to four decimal...
1) For a normal distribution curve with a mean of 7 and a standard deviation of...
1) For a normal distribution curve with a mean of 7 and a standard deviation of 4, which of the following ranges of the variable will define an area under the curve corresponding to a probability of approximately 34%? a) from 7 to 11 b)from –1 to 15 c) from 5 to 9 d) from 3 to 11 2) The average age of vehicles registered in the United States is 96 months. Assume the population is normally distributed with a...
Determine the following standard normal (z) curve areas. (Use a table or technology. Round your answers...
Determine the following standard normal (z) curve areas. (Use a table or technology. Round your answers to four decimal places.) (a) the area under the z curve to the left of 1.73 (b) the area under the z curve to the left of −0.66 (c) the area under the z curve to the right of 1.20 (d) the area under the z curve to the right of −2.81 (e) the area under the z curve between −2.23 and 0.56 (f)...
1) Determine the following areas under the standard normal (z) curve. a) Between -1.5 and 2.5...
1) Determine the following areas under the standard normal (z) curve. a) Between -1.5 and 2.5 2) Consider babies born in the "normal" range of 37–43 weeks gestational age. A paper suggests that a normal distribution with mean μ = 3500 grams and standard deviation σ = 599 grams is a reasonable model for the probability distribution of the continuous numerical variable x = birth weight of a randomly selected full-term baby. a) How would you characterize the most extreme...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT