Q.1.2 Intercepts; Symmetry; Graphing Key Equations - The Practice of Statistics for AP

Question

As part of its 2010 census marketing campaign, the U.S. Census Bureau advertised

“10 questions, 10 minutes—that’s all it takes.” On the census form itself, we read, “The

U.S. Census Bureau estimates that, for the average household, this form will take

about 10 minutes to complete, including the time for reviewing the instructions and

answers.” We suspect that the actual time it takes to complete the form may be longer

than advertised.

Step-by-Step Solution

Answer

The boundary of interest is the real population mean measure of time expected to finish the type of census.

Step 1: introduction

Given,

The U.S. Census Bureau estimates that, for the average household, this form will take

about $10$ minutes to complete, including the time for reviewing the instructions and

answers.

Step 2: explanation

The boundary of interest is the real population mean measure of time expected to finish the type of census. 

mean = $10$

The null hypothesis is,$H_0:\mu =10$

The alternate hypothesis is $H_a:\mu <10$

The test is left tailed.