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One hundred teachers attended a seminar on mathematical problem solving. The attitudes of representative sample of...

One hundred teachers attended a seminar on mathematical problem solving. The attitudes of representative sample of 12 of the teachers were measured before and after the seminar. A positive number for change in attitude indicates that a teacher's attitude toward math became more positive. The twelve change scores are as follows. 4; 8; −1; 2; 0; 5; −3; 1; −1; 6; 5; −2

i. What is the standard deviation for this sample? (Round your answer to two decimal places.)

ii. Find the change score that is 2.2 standard deviations below the mean. (Round your answer to one decimal place.)

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Answer #1

Step 1: Find the mean. X) In this example: X 2. (use this calculator for step by step explanation on how to find mean). Step 2: Create the following table. data data-mean (data mean) 4 36 25 16 16 Step 3: Find the sum of numbers in the last column to get. Σ(n-x)=138 Step 4: Calculate σ using the above formula. 138 12 1 3.542 n-

a)

sd = 3.542

b)

mean - 2.2 * sd

= 2 - 2.2*3.542

= -5.7924

= -5.8

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