For Exercises 13.1 and 13.2, see page 651; and for 13.3 and 13.4, see pages 655-656.

Question 13.2

13.2 Spam process.

Most email servers keep inboxes clean by automatically moving incoming mail that is determined to be spam to a “Junk” folder. Here are the weekly counts of the number of emails moved to a Junk folder for 10 consecutive weeks:

194 227 201 152 202 178 229 202 247 155

Answer the following parts without the aid of software.

  1. Find the observed and expected number of runs.
  2. Determine the -value of the hypothesis test for randomness.