Question

1. The labor force participation rate was 63.7%. A marketing company asks 120 working-age people if they either have a job or are looking for a job. What is the probability that less than 60% of those surveyed are members of the labor force? with sketch
2. A professor has given the same multiple choice final exam in his Economics class for many years. After examining his records from the past 10 years, he finds that the scores have a mean of 76 and a population standard deviation of 12. The professor offers his class of 36 a pizza party if the class average is above 80. What is the probability that he will have to deliver on his promise? with sketch
3. you are given the following data obtained from a sample of 5 observations taken from a population that has a normal distribution. The mean is 78 and the sample standard deviation is 16.54. Develop 98% confidence interval estimate for the mean of the population. with sketch
4. 2,007 adults were asked their preference for improving the sewer system in their town. 33% had a favorable preference. Construct a 95% confidence interval of the proportion of adults who view improving the sewer system as desirable. with sketch

5. A car dealership would like to estimate the mean mpg of its new model car with 90% confidence. The population is normally distributed; however we are taking a sample of 25 cars with a sample mean of 96.52 and a sample standard deviation of 10.70. Calculate a 90% confidence interval for the population mean using this sample data. with sketch

Answer 1