Question

For the next 2 questions, please read the description below. Assume that the ages of people in a local community are normally distributed with a standard deviation of 5. In order to estimate the average age of people in the community, two individual researchers conduct two independent studies by taking random samples. The sample data of the first researcher is 50, 43, 65, 52, 45, 60, 38, 62, 53, 49. The mean of this data is 51.7. Based on the data, the researcher can claim that the upper bound for a 95% confidence interval is:?

Answer choices: A)54.3 B)55.3 C)55.8 D)54.8

The second researcher’s sample data has a mean of 57.50. Based on the data, the researcher claims that the lower bound of the 95% confidence interval for the mean age is 52.40. What is the researcher’s upper bound for the 95% confidence interval? Group of answer choices

Answer choices A)62.6 B)58.6 C)62..2 D)57.5

Answer 1

Part -1.)

Based on the given data  the researcher can claim that the upper bound for a 95% confidence interval is D.) 54.8

Part-2.)

based on the sample data of second researcher's , the upper bound for the 95% confidence interval is A.) 62.6