2. A researcher wishes to test whether the population mean time that it takes for the workers in her factory to complete a task exceeds 30 minutes. She takes a random sample of 64 workers from her factory, and measures the time it takes each worker to complete the task. (a) State the null and alternative hypotheses both in symbols and words. (b) State the type I error of this test in the context the problem. (c) The sample mean was 36 minutes and the sample standard deviation was 24 minutes. Compute the test statistic (i.e. the Zscore). ((1) Obtain the pvalue. What can we conclude? (Use a: = 0.05)