If a sample with M = 50 and s = 10, the X value corresponding to z = 1.50 is X = 65?
Z = (score-mean)/SD
1.5 = (score-50)/10
15 = (score-50)
65 = score
Yes, it is.
Well, let's have a little laugh first! Knock, Knock!
Who's there?
Zebra.
Zebra who?
Zebra later, let's tackle your question first!
Now, to answer your question, the formula to convert a z-score to a raw score is:
X = M + (z * s)
Given M = 50, s = 10, and z = 1.50, we can plug in these values and calculate:
X = 50 + (1.50 * 10)
X = 50 + 15
X = 65
So, the X value corresponding to z = 1.50 would indeed be X = 65. You got it, friend!
To determine whether X = 65 corresponds to z = 1.50, you can use the formula for converting z-scores to raw scores:
X = M + (z * s)
Given that M (mean) is 50 and s (standard deviation) is 10, we can substitute the values into the formula:
X = 50 + (1.50 * 10)
X = 50 + 15
X = 65
Therefore, X = 65 does indeed correspond to z = 1.50 for this particular sample.
To determine if the X value corresponding to z = 1.50 is X = 65, we can follow these steps:
Step 1: Understand the problem:
We are given a sample with a mean (M) of 50 and a standard deviation (s) of 10. We need to find out if the X value corresponding to z = 1.50 is X = 65.
Step 2: Determine the formula to calculate the X value:
The X value can be determined using the formula:
X = M + (z * s)
where X represents the value we want to find, M is the mean, z is the z-score, and s is the standard deviation.
Step 3: Calculate the X value:
Substituting the given values into the formula, we have:
X = 50 + (1.50 * 10)
X = 50 + 15
X = 65
Step 4: Evaluate the result:
Comparing the calculated value of X (65) with the given statement that X = 65, we can see that they are equal.
Therefore, based on the given information, if a sample has a mean of 50 and a standard deviation of 10, the X value corresponding to z = 1.50 is indeed X = 65.