Question: A company produces acid. Output is usually 8200 liters per hr. Company observes hourly output for 2 days- 16 hour output. A new guide line stipulates new changes which may decrease production. At the 5% significance level, do these data indicate that the new guidelines will reduce output. Data is shown below

8283 8121 7905 8097 7969 8101 8069 8240 8410 8483 8510 7480 8097 8237 7682 8076

Observe the hypothesis and conduct the test

Ho: \(\mu \) =8200

HA: \(\mu \) < 8200

Show your work as you do the following …manager believes production has gone down to 8000 liters an hr which supports the alternative hypothesis. Find the probability that the statistician makes an error of Type 2- ie. That the true mean is really 8000 liters per hour, but yet we accept the null hypothesis, possibly due to having a corrupt employee tempering with the production samples. Assume the Normal distribution and that the population standard deviation is very well estimated by the sample standard deviation