Answer Happy

The operations manager at a brewery that runs 24 hours per day
has determined that the amount of production time lost each day
(24-hour period) due to equipment failure is a normally distributed
random variable. Historically, the population mean of amount of
lost time has been assumed to be 3.4 hours per day. The manager
feels that due to aging equipment, the population mean amount of
lost time is now greater than 3.4 hours per day. The manager
decides to test the hypothesisi using the sample mean amount of
time lost for a random sample of 36 days.
Over the next 2 months, the sample of 36 days results in an
average amount of lost time of 3.92 hours per day with a standard
deviation of 1.2 hours.
Which of the following conclusions can we draw for the test
described above based on these sample results?
The null hypothesis is false and should be rejected.
The null hypothesis should not be rejected for a level of
significance of 0.01.
If the null hypothesis is not rejected for alpha = 0.005, a Type
II error has occured.
The null hypothesis should be rejected for any level of
significance.
The p-value of the test statistics is greater than 0.025