2) i.For this first problem, we now assume that the mean of our data set is 30.5, and the standard deviation is 2.3. Enter those in the Mean and Std. Dev. boxes.

We will compute the probability,P(26X28)P(26X28). Since you are computed the probability that X is BETWEEN two given values, clickthe "Between" button at the top of the calculator. That will changethe input area at the bottom of the tool. Enter 26 into the left box, and 28 into the right box, and leave the box to the right of the equal sign empty. Then click the Compute button.

ii. Now suppose you have a data set with a mean of 50 and a standard deviation of 4.2. What is the probabilty of an X value being between 60 and 70? That is, what isP(60X70)P(60X70)?

8)For zz values of -1.54 and 3, what is the probability, P(1.54

12)Suppose you know that the probability, P(z

15)Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 595 and standard deviation 125.Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 18.7 and standard deviation 2.5. (a) What is Eleanor's standardized score (z-score)? Round to 3 decimal places. (b) What is Gerald's standardized score? Round to 3 decimal places. (c) Assuming that both tests measure the same kind of ability, who has the higher score?

• Gerald.
• Eleanor.
• They both did equally well.

17)For the standard normal distribution (=0=0 and =1=1), USE TECHNOLOGY TO find P(z < -1.91).