Direction: Read the problems below then write your answer on a separate paper. 1. Determine the standard error of the mean for each of the following sample size n given the population standard deviation of 30. Round off your answer to the nearest hundredths. {1.71:5 b. n=12 c. 11:28 at. 71:35 3. 11:40 2. Analyze the answers obtained in item number 1. What can you say about the relationship of the sample size and the standard error? 3. How does this relationship affect the distribution? 4. When do we obtain a good estimate of the mean? 5. When do we say that the mean is a poor estimate? . The average number of milligrams {mg} of cholesterol in a cup of a certain brand of ice cream is 660 mg, the standard deviation is 35 mg. Assume the variable is normally distributed. a. [f a cup of ice cream is selected, what is the probability that the cholesterol content will be more than 670 mg? b. If a sample of 10 cups of ice cream is selected, what is the probability that the mean of the sample will be larger than 670 mg? . In a study of the life expectancy of 400 people in a certain geographic region, the mean age at death was 70 years, and the standard deviation was 5.1 years. If a sample of 50 people from this region is selected, what is the probability that the mean life expectancy will be less than 68 years