Question

Each year, thousands of high school students bound for college take the Scholastic Assessment Test (SAT). This test measures the verbal and mathematical abilities of prospective college students. Student scores are reported on a scale that ranges from a low of $200$to a high of $800$. Summary results for the scores are published by the College Entrance Examination Board in College Bound Seniors. In one high school graduating class, the SAT scores are as provided on the WeissStats site. Use the technology of your choice to answer the following questions.

a. Do the SAT verbal scores for this class appear to be approximately normally distributed? Explain your answer.

b. Do the SAT math scores for this class appear to be approximately normally distributed? Explain your answer.

Short answer

(a)The verbal scores on the SAT are regularly distributed.

(b) The SAT Math results follow a normal distribution.

Step-by-step solution

Part (a) Step 1: Given information

Given in the question that, Each year, thousands of high school students bound for college take the Scholastic Assessment Test (SAT). This test measures the verbal and mathematical abilities of prospective college students. Student scores are reported on a scale that ranges from a low of $200$to a high of $800$. Summary results for the scores are published by the College Entrance Examination Board in College Bound Seniors. In one high school graduating class, the SAT scores are as provided on the WeissStats site.

we need to find that whether the SAT verbal scores for this class appear to be approximately normally distributed

Part (a) Step 2: Explanation

The MINITAB can be used to create a histogram for SAT verbal scores as follows:

Step 1: Select Graph > Histogram from the drop-down menu.

Step 2: Select Simple, then click OK.

Step 3: In the Graph variables section, type the matching Verbal column.

Step 4: Click the OK button. The MINITAB output can be represented as follows:

The SAT verbal scores are nearly symmetric, as can be seen in the above histogram. To put it another way, it's a symmetric distribution. As a result, the verbal scores on the Sat are regularly distributed.

Part (b) Step 1: Given information

Given in the question that, Each year, thousands of high school students bound for college take the Scholastic Assessment Test (SAT). This test measures the verbal and mathematical abilities of prospective college students. Student scores are reported on a scale that ranges from a low of $200$to a high of$800$. Summary results for the scores are published by the College Entranee Examination Beard in Collexe Round Seniors. In one high school graduating class, the SAT scores are as provided on the WeissStats site.

we need to explain that whether the SAT math scores for this class appear to be approximately normally distributed.

Part (b) Step 2: Explanation

The MINITAB can be used to create a histogram for SAT Math scores as follows:

Step 1: Select Graph > Histogram from the drop-down menu.

Step 2: Select Simple, then click OK.

Step 3: In the Graph variables section, type the matching Math column.

Step 4: Click OK The MINITAB output can be represented in the following way:

The SAT Math scores are approximately symmetric, as can be seen in the above histogram. To put it another way, it's a symmetric distribution. As a result, the SAT Math results follow a normal distribution.