Determine u; and o- from the given parameters of the population and the sample size. Round the answer to the nearest thousandth where appropriate, H = 35, 0=9, n= 14 O A. H; = 35, 6- = 2.405 O B. H- = 35, 6- = 0.643 O C. H- = 35, 0; = 9 O D. H; = 20.207, 6- = 2.405Suppose a population has a mean of 7 for some characteristic of interest and a standard deviation of 9.6. A sample is drawn from this population of size 64. What is the standard error of the mean? . . . O A. 0.7 O B. 3.3 O C. 1.2 O D. 0.15The average score of all golfers for a particular course has a mean of 60 and a standard deviation of 5. Suppose 100 golfers played the course today. Find the probability that the average score of the 100 golfers exceeded 61. Round to four decimal places. O A. 0.3707 O B. 0.1293 O C. 0.4772 O D. 0.0228K Assume that blood pressure readings are normally distributed with a mean of 124 and a standard deviation of 4.8. If 36 people are randomly selected, find the probability that their mean blood pressure will be less than 126. Round to four decimal places. . . . O A. 0.0062 O B. 0.9998 O C. 0.8615 O D. 0.9938Fill in the blank. According to the law of large numbers, as more observations are added to the sample, the difference between the sample mean and the population mean O is inversely affected by the data added O tends to become smaller O remains about the same O tends to become largerSuppose a geyser has a mean time between eruptions of 95 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 28 minutes, Complete parts (a) through (e) below. (a) What is the probability that a randomly selected time interval between eruptions is longer than 109 minutes? The probability that a randomly selected time interval is longer than 109 minutes is approximately (Round to four decimal places as needed.) (b) What is the probability that a random sample of 10 time intervals between eruptions has a mean longer than 109 minutes? The probability that the mean of a random sample of 10 time intervals is more than 109 minutes is approximately (Round to four decimal places as needed.) (c) What is the probability that a random sample of 17 time intervals between eruptions has a mean longer than 109 minutes? The probability that the mean of a random sample of 17 time intervals is more than 109 minutes is approximately (Round to four decimal places as needed.) (d) What effect does increasing the sample size have on the probability? Provide an explanation for this result. Fill in re blanks below. If the population mean is less than 109 minutes, then the probability that the sample mean of the time between eruptions is greater than 109 minutes because the variability in the sample mean as the sample size (e) What might you conclude if a random sample of 17 time intervals between eruptions has a mean longer than 109 minutes? Select all that apply. A. The population mean must be less than 95, since the probability is so low. B. The population mean cannot be 95, since the probability is so low. C. The population mean is 95, and this is just a rare sampling. D. The population mean may be less than 95.Suppose a geyser has a mean time between eruptions of distributed with standard deviation 28 minutes. Complete parts (a) through (e) below. (b) what is the probability that a random sample of 10 time intervals between eruptions has a mean longer than 10y minutes? The probability that the mean of a random sample of 10 time intervals is more than 109 minutes is approximately (Round to four decimal places as needed.) (c) What is the probability that a random sample of 17 time intervals between eruptions has a mean longer than 109 minutes? The probability that the mean of a random sample of 17 time intervals is more than 109 minutes is approximately (Round to four decimal places as needed.) (d) What effect does increasing the sample size have on the probability? Provide an explanation for this result. Fill in the blanks below. If the population mean is less than 109 minutes, then the probability that the sample mean of the time between eruptions is greater than 109 minutes because the variability in the sample mean as the sample size (e) What might you conclude if a random sample of 17 time intervals between eruptions has a mean longer than 109 minutes? Select all that apply. A. The population mean must be less than 95, since the probability is so low.B. The population mean cannot be 95, since the probability is so low. C. The population mean is 95, and this is just a rare sampling. D. The population mean may be less than 95. )E. The population mean must be more than 95, since the probability is so low. F. The population mean is 95, and this is an example of a typical sampling result. G. The population mean may be greater than 95