What Z-scores correspond to separating middle 70% of the normal distribution from the rest of the...

Question

Question

What Z-scores correspond to separating middle 70% of the normal distribution from the rest of the distribution?

math Statistics-And-Probability

Answer 1

Answer #1

Solution :

Solution :
P(-z < Z < z) = 0.70

P(Z < z) - P(Z < z) = 0.70

2P(Z < z) - 1 = 0.70

2P(Z < z) = 1 + 0.70

2P(Z < z) = 1.70

P(Z < z) = 1.70 / 2

P(Z < 1.04) = 0.85

z = 1.04

P(-1.04 < Z < 1.04) = 0.70

Z-scores : -1.04 , +1.04

Add a comment

Answer 2

Similar Homework Help Questions

What Z-scores correspond to separating middle 60% of the normal distribution from the rest of the...

What Z-scores correspond to separating middle 60% of the normal distribution from the rest of the distribution?
find the z-scores that seperate the middle 16 % of the distribution from the area in...

find the z-scores that seperate the middle 16 % of the distribution from the area in the tails of the standard normal distribution. the z-scores are?
Find the Z-scores that separate the middle 86% of the distribution

Find the Z-scores that separate the middle 86% of the distribution from the area in the tails of the standard normal distribution. Click the icon to view a table of areas under the normal curve. The Z-scores are _______

Find the z-scores that separate the middle 17% of the distribution from the area in the...

Find the z-scores that separate the middle 17% of the distribution from the area in the tails of the standard normal distribution. The z-scores are「 (Use a comma to separate answers as needed. Round to two decimal places as needed.)
for a normal distribution: a. what z-score separates the highest 40% from the rest of the...

for a normal distribution: a. what z-score separates the highest 40% from the rest of the scores b. what z-score separates the lowest 15% from the rest of the scores
Find the Z-scores that separate the middle 53% of the distribution from the area in the...

Find the Z-scores that separate the middle 53% of the distribution from the area in the tails of the standard normal distribution Click the icon to view a table of areas under the normal curve The Z-scores are (Use a comma to separato answers as needed. Round to two decimal places as needed)

Find the two standard scores Z-scores such that the middle 90% of a normal distribution is...

Find the two standard scores Z-scores such that the middle 90% of a normal distribution is bounded by them. 0 - 1.735 and 1.735 0 -1.435 and 1.435 0 - 1.645 and 1.645 0 -1.245 and 1.245
Find the Z-scores that separate the middle 59% of the distribution

Find the Z-scores that separate the middle 59% of the distribution from the area in the tails of the standard normal distribution.The Z-scores are _______ (Use a comma to separate answers as needed. Round to two decimal places as needed)
Find the z-scores that bound the middle 15% of the standard normal distribution (give anser to...

Find the z-scores that bound the middle 15% of the standard normal distribution (give anser to 2 decimal places) Smaller value - Larger value -

- What proportion of a normal distribution is located between each of the following Z-score boundaries?...

What proportion of a normal distribution is located between each of the following Z-score boundaries? a. z= -0.50 and z= +0.50 b. z=-0.90 and z= +0.90 c. z=-1.50 and z= 1.50 For a normal distribution with a mean of μ = 80 and a standard deviation of σ= 20, find the proportion of the population corresponding to each of the following. a. Scores greater than 85. b. Scores less than 100. c. Scores between 70 and 90. IQ test scores are standardized to produce a normal distribution with...