2. The following are red blood cell counts (in 10 cells per microliter) of fifteen healthy matured adults: 5.4 5.0 5.0 5.2 5.5 5.3 5.4 5.2 5.1 5.3 5.3 4.9 5.4 5.2 5.2 (a) Use a test of hypothesis to determine whether there Is sufficient evidence to conclude that the true mean for red blood cell count for a mature adult Is greater than 5.24 (In 10 cells per microliter). ( 12 ) (b) Find a 95% confidence Interval estimate for the mean u, the true mean red blood cell count for matured adults. (8)1. A manufacturer of cough syrups uses machines to dispense liquid ingredients into bottles. The machine that dispenses the liquid is working properly when 8 ounces are dispensed. A sample of 35 bottles was checked and found to have an average of 7.91 ounces with a variance of 0.03 ounces squared. 1. Describe the steps involved in conducting a hypothesis test. li. Is there evidence that the machine should be stopped and production should wait for repairs? Test at 0.01 level of significance. All work must be shown