Answer to Question #336532 in Statistics and Probability for ken

Question

In a study among kindergarten pupils of s certain private school, the average IQ is 100. A researcher studied the effect of his manipulative device on the intelligence of the children. A sample of 25 students who used the manipulatives has a mean of 140 with a standard deviation of 20. If the IQ of the students follows a normal distribution, what is the t-value?

Answer 1

$$t=\dfrac{\bar{x}-\mu}{s/\sqrt{n}}=\dfrac{140-100}{20/\sqrt{25}}=10$$