Sta2023 Exam #2

In a large population, about 10% of people do not like the taste of cilantro, an herb used in cooking. A researcher takes a random sample of 15 people and surveys whether they like cilantro. Use the binomial distribution to compute the probability that exactly 6 of the people in the sample do not like cilantro. Identify the following information required to find the probability of people who do not like the taste of cilantro. {Ans: n = 15 trials; x = 6 successes; p = 0.1 probability of not liking cilantro}Suppose we know that a confidence interval for a population mean is (29,37), with a margin of error of 4. What is the sample mean? {Ans: 33}Juan wants to estimate the percentage of people who will vote for issue A on the next election. He surveys 150 individuals and finds that 81 will vote for issue A. Find the margin of error for the confidence interval for the population proportion with a 90% confidence level. {Ans: 0.067}After collecting the data, Maria finds that the number of points per game for a certain basketball player is normally distributed with mean 14 points and standard deviation 2 points.