CLEARLY IDENTIFY THE ANSWERS. Only a short explanation is required.

PART A)

With the current equipment owned, a manufacturing plant is supposed to be able to produce 8 bottles of syrup every hour. When the machine malfunctions, it sometimes begins going too fast, and then deformities occur. Other times, it malfunctions by moving too slowly, also causing deformities to the product. The machine's peak performance is maintained by keeping production as close to 8 bottles per hour as possible. A quality control supervisor takes a random sample of hours and counts the number of bottles produced in order to test whether the machine is functioning correctly or whether it needs to be readjusted. (a) State the null and alternative hypotheses. OH : H = 8 H: u> 8 OH : H = 8 H.: U 8 OH: H = 8 (b) Which of the following sample sizes could be taken to ensure that the sampling distribution of x is approximately normal? O 1 O 17 O 23 O 38 (c) Define the population parameter of interest. O u = the mean number of bottles produced by this machine each hour O u = the number of bottles with deformities produced each day O u = the mean number of bottles produced by this machine each day O u = the number of bottles with deformities produced each hourWith the current equipment owned, a manufacturing plant is supposed to be able to produce 100 bottles of syrup every hour. When the machine malfunctions, it sometimes goes too fast, and then deformities occur. Other times, it malfunctions by moving too slowly, also causing deformities to the product. The machine's peak performance is maintained by keeping production as close to 100 bottles per hour as possible. (a) State the null hypothesis. OH : u > 100 OH : A = 100 OH: u 100 OH_: u = 100 OH_: