18. For a population with a proportion equal to 0.33, calculate the standard error of the proportion for the following sample sizes. a) 35 b) 70 c) 105 a) op = (Round to four decimal places as needed.) b) op = (Round to four decimal places as needed.) c ) op = (Round to four decimal places as needed.) 9. A sample of 140 is drawn from a population with a proportion equal to 0.65. Complete parts a) through c) below. Click here to view page 1 of the cumulative standardized normal distribution table." Click here to view page 2 of the cumulative standardized normal distribution table. 10 a) Determine the probability of observing 87 or fewer successes. P(Observing 87 or fewer successes) = (Round to four decimal places as needed.) b) Determine the probability of observing 93 or fewer successes. hs P(Observing 93 or fewer successes) = (Round to four decimal places as needed.) c) Determine the probability of observing 84 or more successes. P(Observing 84 or more successes) = (Round to four decimal places as needed.)SXS (Type integers or decimals rounded to two decimal places as needed.) 16. One college class had a total of 70 students. The average score for the class on the last exam was 86.1 with a standard deviation of 4.1. A random sample of 31 students was selected. a. Calculate the standard error of the mean. b. What is the probability that the sample mean will be less than 88? c. What is the probability that the sample mean will be more than 87? d. What is the probability that the sample mean will be between 85.5 and 87.5? a. The standard error of the mean is (Round to two decimal places as needed.) b. The probability that the sample mean will be less than 88 is (Round to four decimal places as needed.) c. The probability that the sample mean will be more than 87 is (Round to four decimal places as needed.) d. The probability that the sample mean will be between 85.5 and 87.5 is (Round to four decimal places as needed.)2, A realtor has 20 residential listings under contract. The following table shows the number of days each of these 20 houses has been on the market as of today. Use the data to complete parts a through e below. 21 25 4 15 32 25 44 50 55 24 44 53 49 13 40 14 39 60 25 78 a. Calculate the mean for this population. H = 35.5 (Type an integer or a decimal.) b. Calculate the sampling error using the first 5 homes in the first row as your sample. The sampling error for the first 5 homes is (Type an integer or a decimal.) c. Calculate the sampling error using all 10 homes in the first row as your sample. The sampling error for the first 10 homes is (Type an integer or a decimal.) d. How does increasing the sample size affect the sampling error? A. In general, increasing the sample size makes the sampling error larger. O B. In general, increasing the sample size makes the sampling error smaller. O C. In general, increasing the sample size has no effect on the sampling error." e. Using a sample of size 5, what is the largest sampling error that can be observed from this population? The largest sampling error for the given data using a sample of size 5 is (Type an integer or a decimal.)