Question: The following statements refer to the alternate hypothesis. In the space provided, in symbolic form using H₀, and H₁, write the null and alternate hypothesis.

(a) The mean pulse of lawyers is different from 90 beats per minute.

\({{H}_{0}}:\mu =90\) (The mean pulse of lawyers equals 90)
\({{H}_{1}}:\mu \ne 90\) (The mean pulse rate does not equal 90

(b) The mean salary of college presidents is less than $162,500.

\({{H}_{0}}:\mu \ge 162,500\) (Mean presidential salaries are greater than or equal to $162,500)
\({{H}_{1}}:\mu <162,500\) (Mean presidential salaries are less than $162,500)

(c) The mean IQ score of 20 year olds is more than 100.

\({{H}_{0}}:\mu \le 100\)
\({{H}_{1}}:\mu >100\)

(d) The mean annual income of sales associates is less than $32,000.
\({{H}_{0}}:\mu \ge 32,000\)
\({{H}_{1}}:\mu <32,000\)