The Weschler Scales are sometimes used to predict how well a person can learn new things. The composite scale, known as IQ, is normally distributed. N(100, 15). Dr. Thompson reviews a random sample of 200 test protocols that each show the composite score a person who took the test.

1) What percentile is Anna in if her protocol shows she has an IQ of 119? Explain reasoning mathematically.

2) How many protocols can Dr. Thompson expect to find where a student has an IQ of less than 80? Include calculations

3) People who score higher than the 95^th percentile are considered for certain academic grants. Terri has an IQ of 120. Will he be considered for a grant? Explain your reasoning and Include calculations

4 )Write H_o if Dr. Thompson wonders if there is a difference in the IQ scores of men and women. Write both in words and in a mathematical statement.

5) Write H_A if Dr. Thompson wonders if there is a difference in the IQ scores of men and women. Write both in words and in a mathematical statement.

6) Write H_o if Dr. Thompson wonders if more than 25% of teens have above average IQ scores. Write in words and in a mathematical statement.

7) Write H_A if Dr. Thompson wonders if more than 25% of teens have above average IQ scores. Write in words and in a mathematical statement.

8) Students who score less than 70 are eligible to receive special services at school. How many students can Dr. Thompson expect to find in her review who will be eligible to receive services? include calculations