Suppose ACT Reading scores are normally distributed with a mean of 21.221.2 and a standard deviation of 6.26.2. A university plans to award scholarships to students whose scores are in the top 6%6%. What is the minimum score required for the scholarship? Round your answer to the nearest tenth, if necessary.

The minimum score required for the scholarship is 30.95.

Step-by-step explanation:

We are given that ACT Reading scores are normally distributed with a mean of 21.2 and a standard deviation of 6.2.

A university plans to award scholarships to students whose scores are in the top 6%.

Let X = ACT Reading scores

SO, X ~ N()

The z-score probability distribution is given by ;

                  Z = ~ N(0,1)

where, = mean score = 21.2

            = standard deviation = 6.2

Now, the minimum score required for the scholarship so that students  are in the top 6% is given by ;

              P(X ) = 0.06   {where is minimum score required}

             P( ) = 0.06

             P(Z ) = 0.06

Now, in z table we will find out that critical value of X for which the area is in top 6%, which comes out to be 1.57224.

This means;        

                              = 21.2 + 9.7478 = 30.95

Therefore, the minimum score required for the scholarship is 30.95.

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.