A study of working actors looked at age and gender. One sample of 70 male actors had a mean age of 33 and a standard deviation of 3.2. The other sample included 67 female actors with a mean age of 28 and a standard deviation of 2.6. Estimate with 97% confidence the difference between the average ages of working male (µ1) and female (u2) actors. Round answers to three decimal places. Fcdf = Do we pool then? O No O Yes 97% Confidence Interval:

A particular fruit's weights are normally distributed, with a mean of 228 grams and a standard deviation of 20 grams. The heaviest 4% of fruits weigh more than how many grams? Give your answer to the nearest gram.

A particular fruit's weights are normally distributed, with a mean of 363 grams and a standard deviation of 17 grams.The heaviest 19% of fruits weigh more than how many grams?Give your answer to the nearest gram.

After the pandemic hit and people were forced to spend more time indoors, there have been a suspicion among health professionals. that people are eating more and thus gaining weight. In 2018, the average weight of 192 pounds, and health experts want to know if that average weight of the American male has gone up during this pandemic.  d. A sample of 50 American males yeilded a sample average weight of 195 pounds and a sample standard deviation of 14.5 pounds. What is your conclusion at the 5% level of significance? (be sure to state your conclusion in the context of this problem) e. Would your conclusion change if the level of significance were changed to 1%? Briefly explain.