Read and analyze the statements below. Write TRUE if the statement is correct, otherwise write FALSE. _1. Nearly the entire distribution (about 99.7% of the area under the curve) falls within 2 standard deviations of the mean. 2. The standard score is obtained by dividing the difference of the raw score and the mean to the standard deviation of a given normally distributed variable. 3. If mu = 95.5, sigma =10, and X = 115.5, then the z-score is 2. _4. A distribution which is not normal can be normalized by changing all the scores in the distribution into z-scores. 5. All z-scores to the right side of the curve are negative while those to the left are positive. 1

Seamus Mcknight

Seamus Mcknight

Answered question

2022-09-17

Read and analyze the statements below. Write TRUE if the statement is correct, otherwise write FALSE.
1. Nearly the entire distribution (about 99.7% of the area under the curve) falls within 2 standard deviations of the mean.
2. The standard score is obtained by dividing the difference of the raw score and the mean to the standard deviation of a given normally distributed variable.
3. If μ = 95.5, σ = 10, and X = 115.5, then the z-score is 2.
4. A distribution which is not normal can be normalized by changing all the scores in the distribution into z-scores.
5. All z-scores to the right side of the curve are negative while those to the left are positive.

Answer & Explanation

anekesanxl

anekesanxl

Beginner2022-09-18Added 12 answers

1) 1. Nearly the entire distribution (about 99.7% of the area under the curve) falls within 2 standard deviations of the mean.
Answer : FALSE
2) The standard score is obtained by dividing the difference of the raw score and the mean to the standard deviation of a given normally distributed variable.
Answer : TRUE.
3) _3. If μ = 95.5 , σ = 10, and X = 115.5, then the z-score is 2.
Answer : TRUE
4) A distribution which is not normal can be normalized by changing all the scores in the distribution into z-scores.
Answer : TRUE
Averi Fields

Averi Fields

Beginner2022-09-19Added 3 answers

5 is false
Because all z-scores to the right side of the curve are negative while those to the left are positive.

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