Assume that a simple random sample has been selected from a
normally distributed population and test the given claim. Use
either the traditional method or P-value method. Identify the
following: a) null and alternative hypotheses, b) test statistic,
c) critical value(s) or P-value d) state the final conclusion that
addresses the original claim. A large software company gives job
applicants a test of programming ability and the mean for that test
has been 160 in the past. Twenty-five job applicants are randomly
selected from one large university and they produce a mean score
and standard deviation of 183 and 12, respectively. Use a 0.05
level of significance to test the claim that this sample comes from
a population with a mean score greater than 160.