A researcher recruits 5 males and 15 females into a sleep study (n=20) and records their mid-day blood glucose level. These glucose scores are transformed into Z-scores. 3. What is the value of s_z, the standard deviation of the sample of Z scores? a.0 b.1 с. 19 d. s_z cannot be calculated without more information 4. What is the value of SS_z, the sum of squablack deviations, for the sample of 20 Z-scores? a.0 b. 1 C. 19 d. Cannot be calculated without more information

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2022-08-21

A researcher recruits 5 males and 15 females into a sleep study (n=20) and records their mid-day blood glucose level. These glucose scores are transformed into Z-scores.
3. What is the value of s_z, the standard deviation of the sample of Z scores?
a.0
b.1
с. 19
d. s_z cannot be calculated without more information
4. What is the value of SS_z, the sum of squablack deviations, for the sample of 20 Z-scores?
a.0
b. 1
c. 19
d. Cannot be calculated without more information

Answer & Explanation

Willow Avery

Willow Avery

Beginner2022-08-22Added 11 answers

Given that the glucose scores for a sample of 20 people is transformed into z-scores.
3. The standard deviation for a sample of Z-scores.
The standard normal distribution is written as:
Z N ( 0 , 1 )
So, the standard deviation for Z-score will be 1.
The correct option is (b)
4. The sum of squablack deviations for z-scores
The mean for standard normal distribution is 0. The squablack deviations from mean will be
( Z μ ) 2 = ( Z 0 ) 2
This is the numerator for the variance of Z. Now, the formula for variance is
s 2 = ( Z μ ) 2 n 1 1 = ( Z 0 ) 2 19
Using the above equations, the sum of squablack deviations will be 19.
The correct option is (c).

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