3) The ages of actresses when they won an acting award is summarized by the statistics n=78, =35.6 years, and s=11.6 years. Use a 0.01 significance level to test the claim that the mean age of...

3) The ages of actresses when they won an acting award is summarized by the statistics n=78, =35.6 years, and s=11.6 years. Use a 0.01 significance level to test the claim that the mean age of actresses when they win an acting award is less than 34 years.
4) Trials in an experiment with a polygraph include 97 results that include 24 cases of wrong results and 73 cases of correct results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80% of the time.
5) In a manual on how to have a number one song, it is stated that a song must be no longer than 210 seconds. A simple random sample of 40 current hit songs results in a mean length of 236.5 sec and a standard deviation of 57.77 sec. Use a 0.05 significance level to test the
claim that the sample is from a population of songs with a mean greater than 210 sec. What do these results suggest about the advice given in the manual?