Question: SAT and ACT Tests Based on recent results, scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation

SAT and ACT Tests Based on recent results, scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312.

Scores on the ACT test are normally distributed with a mean of 21.1 and a standard deviation of 5.1. Assume that the two tests use different scales to measure the same aptitude.

a. If someone gets an SAT score that is in the 95th percentile, find the actual SAT score and the equivalent ACT score.

b. If someone gets an SAT score of 2100, find the equivalent ACT score.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Elementary Statistics Questions!

You are a new supervisory accountant at Sportsman Company, reporting to the controller. On your second day with Sportsman, a junior accountant quit his job with no notice. One day later, it is time...

Based on recent results, scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312. Scores on the ACT test are normally distributed with a mean of 21.1 and a...

1. Based on recent results, scores for the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312. Scores on the ACT test are normally distributed with a mean of 21.1...

1. What is a random variable? What is the difference between a discrete random variable (RV) and a continuous random variable?For each of the following random variable X, determine whether it is a...

4. Based on recent results, scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312. Scores on the ACT test are normally distributed with a mean of 21.1...

A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT...

Question 6 A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores...

A study was conducted on students from a particular high school over the last 8 years." The following information was found regarding standardized tests used for college admitance. Scores on the SAT...

study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT...

Your project to obtain charitable donations is now 30 days into a planned 40- day project. The project is divided into 3 activities. The first activity is designed to solicit individual donations. It...

Investor A wants to sell 20 contracts of August series at Rs.4500 and Investor B wants to sell 17 contracts of September series at Rs.4550. Lot size is 50 for both these constracts. The Initial...

A portfolio containing a mix of stocks, bonds, and real estate is likely to be more diversified than a portfolio made up of only one asset class.

Explain how you would use the alkene starting material in Problem 6.13 to determine the absolute configuration of the dextrorotatory enantiomer of the following hydrocarbon: Indicate what reaction...

Divide into groups of three or four students. In each group, develop an original procedure to illustrate the central limit theorem. The main objective is to show that when you randomly select samples...

What does the notation z indicate?

03 Exercise 11-18A (Algo) Desired pr Franklin Company incurs annual fixed costs of $128,085. Variable costs for Franklin's product are $30.50 per unit, and the sales price is $50.00 per unit....

The Production Department of Hruska Corporation has submitted the following forecast of units to be produced by quarter for the upcoming fiscal year: Units to be produced 1st Quarter 11,000 2nd...

5 ts Required information [The following information applies to the questions displayed below.) Taylor's is a popular restaurant that offers customers a large dining room and comfortable bar area....