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Get Full Access to Statistics: Informed Decisions Using Data - 5 Edition - Chapter 7.2 - Problem 56
Get Full Access to Statistics: Informed Decisions Using Data - 5 Edition - Chapter 7.2 - Problem 56

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# ?The ACT and SAT are two college entrance exams. The composite score on the ACT is approximately normally distributed with mean 21.1 and standard devia

ISBN: 9780134133539 240

## Solution for problem 56 Chapter 7.2

Statistics: Informed Decisions Using Data | 5th Edition

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Problem 56

The ACT and SAT are two college entrance exams. The composite score on the ACT is approximately normally distributed with mean 21.1 and standard deviation 5.1. The composite score on the SAT is approximately normally distributed with mean 1026 and standard deviation 210. Suppose you scored 26 on the ACT and 1240 on the SAT. Which exam did you score better on? Justify your reasoning using the normal model.

Step-by-Step Solution:

Step 1 of 5) The ACT and SAT are two college entrance exams. The composite score on the ACT is approximately normally distributed with mean 21.1 and standard deviation 5.1. The composite score on the SAT is approximately normally distributed with mean 1026 and standard deviation 210. Suppose you scored 26 on the ACT and 1240 on the SAT. Which exam did you score better on Justify your reasoning using the normal model. If we conduct a two-tailed test and the true median difference is 0 (that is, if the null hypothesis is true), we would expect T+ to be close to $T-$. If the median for population X is greater than the median for population Y (the left-tailed test), what would we expect for the values of T+ and T- Remember, we decided to compute the differences by computing 1sample population Y2 - 1sample population X2. So if the median for population X is greater than the median for population Y, we would expect a majority of the differences to be negative.

Step 2 of 2

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