Samples of rejuvenated mitochondria are mutated (defective) in 1% of cases. Suppose 14 samples are studied, and they can be considered to be independent for mutation. Determine the following probabilities. (a) No samples are mutated. (b) At most one sample is mutated. (c) More than half the samples are mutated. Round your answers to two decimal places (e.g. 98.76). (The probability is (b) The probability is (c) The probability is Statistical Tables and Charts An article in Medicine and Science in Sports and Exercise "Electrostimulation Training Effects on the Physical Performance of Ice Hockey Players," (2005, Vol. 37, pp. 455-460) considered the use of electromyostimulation (EMS) as a method to train healthy skeletal muscle. EMS sessions consisted of 30 contractions (four-second duration, 85 Hz) and were carried out three times per week for three weeks on 17 Ice hockey players. The ten-meter skating performance test showed a standard deviation of 0.09 seconds. Construct a 99% confidence Interval of the standard deviation of the skating performance test. Assume population is approximately normally distributed. Round your answers to 3 decimal places. 0.064 SOS 0.158 An article in the Journal of Agricultural Science ["The Use of Residual Maximum Likelihood to Model Grain Quality Characteristics of Wheat with Variety, Climatic and Nitrogen Fertilizer Effects" (1997, Vol. 128, pp. 135-142)] investigated means of wheat grain crude protein content (CP) and Hagberg falling number (HFN) surveyed in the UK. The analysis used a variety of nitrogen fertilizer applications (kg N/ha), temperature (C), and total monthly rainfall (mm). The data shown below describe temperatures for wheat grown at Harper Adams Agricultural College between 1982 and 1993. The temperatures measured in June were obtained as follows: Assume that the population has a normal distribution and the standard deviation is known to be a = 1.5. (a) Construct a 99% two-sided confidence interval on the mean temperature. Round your answers to two decimal places (e.g. 98.76). SUS 14.82 (b) Construct a 95% lower-confidence bound on the mean temperature. Round your answer to two decimal places (e.g. 98.76). 12.91 12.49 13.0 13.1 12.8 14.3 14.3 15.5 14.8 13.3 12.1 14.8 12.2 (c) Suppose that we wanted to be 95% confident that the error in estimating the mean temperature is less than 1.4 degrees Celsius. What sample size should be used? Round your answer up to the nearest integer. (d) Suppose that we wanted the total width of the two-sided confidence interval on mean temperature to be 1.5 degrees Celsius at 95% confidence. What sample size should be used? Round your answer up to the nearest integer. FO 15