What proportion of the normal distribution is below a z-score of -1.69? Round your answer to...

What proportion of the normal distribution is below a z-score of -1.69? Round your answer to four decimal places.

Expert Solution

We have to find the area to the left side of the z score -1.69

We use Z table because z table always gives you left side are to the z score.

We look for row headed -1.6 and column headed 0.09

We get the left side area to the z score -1.69 = 0.0455

Final answer :

Proportion of the normal distribution is below a z-score of -1.69 = 0.0455

Hint : - you can excel also

Select empty box and type

=NORMSDIST(-1.69)

and press enter

I hope this will help you :)

orchestra answered 1 year ago

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

8) What proportion of a normal distribution is located between each of the following z-score boundaries? a. z = –0.25 and z = +0.25 b. z = –0.67 and z = +0.67 c. z = –1.20 and z = +1.20 13) A normal distribution has a mean of μ = 30 and a standard deviation of σ = 12. For each of the following scores, indicate whether the body is to the right or left of the score and find...

•Vocabulary list (define) normal distribution Gaussian distribution Standard normal Z score (or Z value) •What is...

•Vocabulary list (define) normal distribution Gaussian distribution Standard normal Z score (or Z value) •What is the area under a normal distribution? •What is the area under any distribution?

Given a normal distribution, answer the following. (a) What z-score forms the boundary between the highest...

Given a normal distribution, answer the following. (a) What z-score forms the boundary between the highest 15% and the rest of the scores? z = (b) What z-score forms the boundary between the highest 40% and the rest of the scores? z = (c) What z-score forms the boundary between the lowest 20% and the rest of the scores? z = (c) What z-score forms the boundary between the lowest 10% and the rest of the scores? z =

Assume a normal distribution for each question. (a) What proportion of the distribution consists of z-scores...

Assume a normal distribution for each question. (a) What proportion of the distribution consists of z-scores greater than 0.25? ( b) What is the probability of obtaining a z-score less than 0.50? ( c) What is the probability of obtaining a z-score greater than −1.50? (d) What is the probability of obtaining a z-score between +1.00 and −1.00?

What z-scores bound the middle 94% of the standard normal distribution? Round your answers to two...

What z-scores bound the middle 94% of the standard normal distribution? Round your answers to two decimal places. Left endpoint: right endpoint: For a random variable x which is normally distributed with mean 9.39 and standard deviation 1.7 Q1 = The number of widgets produced by a particular machine in one day is approximately normally distributed with mean 85.84 and standard deviation 12.95. What is the 32th percentile? (Round your answer to four decimal places.) Scores on a recent Stat...

The proportion of the standard normal curve that falls between the mean and a Z-score of...

The proportion of the standard normal curve that falls between the mean and a Z-score of 2.15 is .4842. true or false

What z-score value separates the highest 15% of the scores in a normal distribution from the...

What z-score value separates the highest 15% of the scores in a normal distribution from the lower 85%? (Note: use the closest value to the top 15% listed in the Un Normal table)

2) For a normal distribution, what z-score separates the top 10% from the rest of the...

2) For a normal distribution, what z-score separates the top 10% from the rest of the distribution? 3) The average speed on a certain highway is μ = 58 with a standard deviation of σ = 10. What portion of cars are traveling between 55 and 65 mph? Could these questions be answered in full details such as equations etc.. please and thank you!

Find each of the probabilities where z is a z-score from a standard normal distribution with...

Find each of the probabilities where z is a z-score from a standard normal distribution with a mean of μ=0 and standard deviation σ=1. Make sure you draw a picture of each problem. Show all steps with TI 83 P(z < 2.15) P(z > 0.71) P(-1.45 <z < 2.17)

1. For a standard normal distribution, determine the z-score, z0, such that P(z < z0) =...

1. For a standard normal distribution, determine the z-score, z0, such that P(z < z0) = 0.9698. 2. From a normal distribution with μμ = 76 and σσ = 5.9, samples of size 46 are chosen to create a sampling distribution. In the sampling distribution determine P(74.399 < ¯xx¯ < 78.079). 3. From a normal distribution with μμ = 81 and σσ = 2.7, samples of size 48 are chosen to create a sampling distribution. In the sampling distribution determine...

Question