Problem 4E

The pH of an acid solution used to etch aluminum varies somewhat from batch to batch. In a sample of 50 batches the mean pH was 2.6, with a standard deviation of 0.3. Let µ represent the mean pH for batches of this solution.

a. Find the P-value for testing H0: µ ≤ 2.5 versus H1:µ> 2.5.

b. Either the mean pH is greater than 2.5 mm, or the sample is in the most extreme_______ % of its distribution.

STAT 250 Jan 23,25 David Holmes Section 1.1 • Overview What is Statistics Statistics is the Science of Reasoning with Data Collecting, Organizing, Summarizing, and Analyzing observations (called data) to draw conclusions, answer questions, and gain understanding. Statistics allows us to: Explore the world around us. • Use evidence to check whether our beliefs are true. • Find patterns that lead to discoveries. • Share new discoveries with others. I n t r o d u t ocP tri oo g n r a m C o mn is n e g p t Keep in mind