1. What is the value of the finite population correction factor given a population consisting of 3, 4, 5, 6, and 7 with a sample size of 2? 0.87 0.86 0.91 0.75 2. The Central Limit Theorem states that the sampling distribution of the sampling means will not approach a normal distribution. True False 3. A certain type of radio tubes lasts on the average of 3 years with a standard deviation of 2.9 years. What is the probability that a random sample of 30 tubes taken from a population of N=250 tubes will last an average of more than 2.5 years? Express your answer in percent form with 2 decimal places (with the percent symbol - e.g. 10.00%). 4. The sampling distribution mean is equal to the population mean. True False 5. The average cost per household of owning a brand new car is 5500. Suppose that we randomly selected 35 households, determine the probability that the sample mean for these 35 households is between P5,350 and P5,600. Assume that the variable is normally distributed and the standard deviation is $1,550. SD of the sample mean (input 4 decimal places) ___, Z-scores (input 2 decimal places) ___, Final answer/Probability (input 2 decimal places) __% 6. A population of 2,800 students from a certain region has normally distributed National Examination scores with a mean of 90 and standard deviation of 6. What is the probability that a random sample of 38 students has a mean score above 92? Express your answer in percent form with 2 decimal places (with the percent symbol - e.g. 10.00%). 7. Suppose that we randomly select a sample of 75 measurements from an infinite population having a mean equal to 25 and a standard deviation equal to 4. What is the mean and standard deviation of the sampling distribution? mean=25, SD=0.46 mean=75, SD=0.46 mean=75, SD=0.21 mean=25, SD=0.21