Question

esale Bottom > Wholesale Fragra... Man Q1. A survey of 500 adults aged 18-29 years of age revealed that 285 chose to eat fast food for dinner at least once in the past week. Find the sample proportion of individuals surveyed who ate fast food for dinner at least once in the past week. (Hint: p = where x = # of people who have given characteristic (eat fast food) and nis sample size) Q2. Verify two conditions (a) n < 0.05 N (b) np (1 - p) > 10 to find whether the sampling distribution is approximately normal. And determine My and Og from the given parameters. Assume the size of the population is 25,000. n = 200 p =0.75 Q3. Sixteen percent of Americans do not have health insurance. Suppose a simple random sample of 500 Americans is obtained. In a random sample of 500 Americans, what is the probability that more than 20% do not have health insurance? [Hint: Find PCÔ > 0.20)] Q4. Home sizes in Anytown, USA have a mean of 2400 square feet and a standard deviation of 450 square feet What is the probability that a random sample of 50 homes in Anytown, USA has mean square footage less than 2200 square feet? Hint Find Plä < 2200), and make sure you use Mz and 0; as a mean and SD in normalcdf function) Q5. A simple random sample of size n = 40 is obtained from a population with = 50 and o = 4. Does the population distribution need to be normally distributed for the sampling distribution of to šë be approximately normally distributed? Why or why not? What is the mean and standard deviation of the sampling distribution? What if the random sample of size n = 10? Does the population distribution need to be normal? Why or why not?

Answer 1