1. A random sample consisted of 36 patients, the mean of their pulse (sphygmus) is 78 times/min, and sd 6 times/min.
a) Calculate the 90% confidence interval for the population mean of health men's pulse (sphygmus) in mountainous area.
b) Can you conclude that the mean is significantly higher than 72 times /min (Which is the mean of pulse of health men)?
2. Suppose you survey 81 adult American males and record a mean weight of 194 pounds. The sample standard deviation is 35 pounds.
a) Please construct a 95% confidence interval for the population mean.
b) Suppose a prominent doctor contends that adult American males have a population mean weight of 220 pounds. Does the sample evidence support the doctor's hypothesis?
Note: Please write down the detail steps for the hypothesis test