- Use the appropriate descriptive statistics from W2 Project or run new descriptive statistics for Recall1 using Microsoft Excel.
-
Assuming that the sample statistics you computed are exactly equivalent to the corresponding population parameters, and using the formula X = (±z)(sd) + M (see below) identify the following:
- The exact score on Recall1 that would fall at the upper 5% cutoff (extremely high score?) (Be sure to use the formula given below and round to two decimal places)
- The exact score on Recall1 that would fall at the lower 5% cutoff (extremely low score?) (Be sure to use the formula given below and round to two decimal places)
To find these hypothetical scores, solve for X (your raw score) using the following formula, and round to two decimal places:
X = (±z)(sd) + M, where
z = The z-score cutoff for 5 percent in the tail (±1.645)
sd = Your sample standard deviation for Recall1
M = Your sample mean for Recall1
- Use Microsoft Excel to compute z-scores for Recall1, following the instructions given in your lecture. Copy the table below into your Microsoft Word document, and complete the table, indicating the appropriate z-scores corresponding to each of the participants whose score is given.
Subject ID
Recall at Time 1
Z-score
P5
8
P10
12
P15
10
P20
8
P25
9
- Write a brief paragraph interpreting these z-scores (e.g., how each individual did in relation to the class in terms of the mean and standard deviation of the z-score distribution (not the raw score mean and SD) the percentile the participant would fall into).