Question

directions: type the correct answer in each box. spell all words correctly. an algebra class took a test, and data was collected on the time each student took to complete the test. the data was normally distributed, as shown on the curve below. normal distribution curve with regions x, y and time labels 36, 39, 42, 45, 48, 51, 54 using true or false, fill in the blanks for each statement below. the percentage of student test times in region x is the same as the percentage of student test times in region y. blank a student’s test time is more likely to be in region y than region x. blank the mean, median, and mode are all the same. blank students whose times are in region x took more time to complete the test than students whose times are in region y. blank

Explanation:

1. For the first statement: Region X spans 42-45 minutes, region Y spans 45-48 minutes. In a normal distribution, equal intervals around the mean have equal area (percentage of data).
2. For the second statement: Regions X and Y are equal in size, so likelihood is the same.
3. For the third statement: A normal distribution is symmetric, so mean, median, mode coincide.
4. For the fourth statement: Region X is left of the mean (lower times), region Y is right (higher times), so X took less time.

Answer:

1. True
2. False
3. True
4. False