A post-mix beverage machine is adjusted to release a certain amount of syrup into a chamber. A random sample of 40 beverages was found to have a mean syrup content of = = 1.985 fluid ounces and a standard deviation of $ = .051. State the null and alternative hypothesis in a test to determine if the data provide sufficient evidence to conclude that the mean amount of syrup dispensed is less than 2.0 fluid our Find the value of the test statistic. Find the observed significance level (p-value) of the test. What would you conclude at the a = .05 level of significance ? What would you conclude at the a = .I level of significance ? What is the probability of a type II error of the test procedure in (d) when the actual value of u = 1.98 7