The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.57 inches and a standard deviation of 0.05 inch. A random sample of 10 tennis balls is selected. Complete parts (a) through (d) below. E) a. What is the sampling distribution of the mean? 3A. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 10 will also be approximately normal. B. Because the population diameter of tennis balls is approximately normally distributed. the sampling distribution of samples of size 10 will not be approximately normal. 0. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 10 cannot be found. D. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 10 will be the uniform distribution. b. What is the probability that the sample mean is less than 2.56 inches? Po? a. What is the probability that )_( is less than 49? P()_( a. If you select a random sample of 25 sessions, what is the probability that the sample mean is between 16.5 and 17.5 minutes? D (Round to three decimal places as needed.) The time to get an oil change at a certain car dealership averages 42.3 minutes with a standard deviation of 8.6 minutes. a) There are 45 cars booked for oil changes today. What is the probability that the jobs can be done in an average of 38 minutes or less? D Use 4 decimal places please. b) Suppose 90 oil changes were done in one particular week. There is a 95% chance that the mean time was more than minutes. D Use 1decimal place please. A random sample of n = 100 observations is drawn from a population with a mean equal to 22 and a standard deviation equal to 20. Complete parts a through 9 below. <: give the mean and standard deviation of sampling distribution mam arm integers or decimals. average salary for a certain profession is assume that such salaries consider random sample people in this let x represent sample. click icon to view table normal curve areas. a. what b. d two decimal places as needed. if population known be normally distributed with u="79" will characteristics forx based on size selected from e> pi = 79 (Type an integer or a decimal.) 0;: = E (Type an integer or a decimal.) If a population is known to be normally distributed with p = 72 and 0' = 32, what will be the characteristics of the sampling distribution for x based on a random sample of size 16 selected from the population? E) u)? = 72 (Type an integer or a decimal.) \"i = E (Type an integer or a decimal.)