Employees in the good-producing industry earn an average hourly wage of $24.57 according to the Bureau of Labor Statisti

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Employees in the good-producing industry earn an average hourly
wage of $24.57 according to the Bureau of Labor Statistics 2012.
Suppose we take a sample of employees from the manufacturing
industry and which to see if the mean hourly wage is different from
$24.57. Suppose a sample of 30 employees from the manufacturing
industry has a sample mean of $23.89/hour and a sample standard
deviation is $2.40/hour. Note, this problem is seeing how the
manufacturing hourly wage compares to the good-producing industry
hourly wage of $24.57.
a. Use a 0.01 significance level, test the hypothesis that the
population mean manufacturing hourly wage is less than $24.57. Use
the p-value method. State your hypothesis, test statistic, decision
and concluding sentence.
b. What is a Type II error for the hypothesis in part a.