Problem
Your friend decided to enroll in a reading course that allegedly increases reading speed and comprehension. Prior to enrolling in the class, your friend read 198 words per minute (wpm). The following data represent the words per minute read for 10 different passages read after the course. \[ 206 \] 210 217 197 197 212 199 227 210 209 Was the class effective? In other words, test the claim that your friend's reading rate is now greater than 198 wpm using the $\alpha=0.05$ level of significance. Note: the normal probability plot and boxplot show that the reading rates are approximately normal without outliers. State the null and alternative hypothesis. Input ">" or "<" or "=" to complete the alternative. \[ \begin{array}{l} H_{0}: \mu= \\ H_{1}: \mu \end{array} \]
Solution
Step 1 ：State the null and alternative hypothesis. Input ">" or "<" or "=" to complete the alternative.
Step 2 ：The null hypothesis (H0) is that the mean reading speed after the course is equal to the mean reading speed before the course, which is 198 wpm.
Step 3 ：The alternative hypothesis (H1) is that the mean reading speed after the course is greater than 198 wpm. This is a one-tailed test because we are only interested in whether the reading speed has increased.
Step 4 ：Final Answer: \[\boxed{\begin{array}{l} H_{0}: \mu=198 \\ H_{1}: \mu>198 \end{array}}\]
