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3. The average heights ofa random sample of 400 people from a city is 1.?5 m. It is known that the heights ofthe population are random variables that follow a normal distribution 'with a variance of [116. Determine the interval of 95% condence for the average heights of the population. 4. Suppose a researcher believes that college facultv vote at a higher rate than college students. She collects data from 200 college facultv and mu college students using random sampling. If 16? of the facultv and 133 of the students voted in the ZDDS Presidential elections, is there enough evidence at the 5% level of signicance to support the researcher's claim