t 2000 HW CH07 1 1/01/2022 Questim 3- 7-2-5-T HW Score: 55.86%. 4.47 of 8 points Part2 of 5 @ Points: 0.11 of 1 @3 '6 The amount of water in a bottle is approximately normally distributed with a mean of 2.55 liters with a standard deviation of 0.025 liter. Complete parts (a) through (e) below' a. What is the probability that an individual bottle contains less than 253 liters? 0.212 (Round to three decimal places as needed) b. If a sample of 4 bottles is selected, what is the probability that the sample mean amount contained is less than 253 liters? E (Round to three decimal places as needed.) View an example Get more help - Stat 2000 HW CH07 11/01/2022 Question 4, 7.2.7-T HW Score: 55.86%, 4.47 of 8 points Part 4 of 4 Points: 0.6 of 1 Save K The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.59 inches and a standard deviation of 0.05 inch. A random sample of 10 tennis balls is selected. Complete parts (a) through (d) below. a. What is the sampling distribution of the mean? O A. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 10 will not be approximately normal. O B. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 10 cannot be found. C. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 10 will also be approximately normal. O 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 2.58 inches? P(X HW Score: 55.86%, 4.47 of a points Pa" 2 0f 11 @ Points: 0.09 of 1 '6 f The following data represent the number of days absent per year in a population of six employees of a small company. Complete parts (a) through (d). 'i 1,2,4,7.8, 10 D l ~ _ (... (3) Assuming that you sample without replacement, select all possible samples of n = 2 and construct the sampling distribution of the mean, Compute the mean of all the sample means and also ' ' '. compute the population mean. Are they equal? What is this property called? Construct the sampling distribution of the mean. Choose the correct graph below. A " D. 4 0' 20 Q 4 Q 4 s >. 16 3 g g Q 12 Q 2 e 32 5" 2 g 8 g , E i: D) E 4 1,) LL D 0 0 01 6 11 0 6 12 :2 1 6 11 1 Mean6(n:2) Mean(n=2) Meanln ) Mean (n=2) The mean of all the sample means for n = 2 without replacement is C (Round to two decimal places as needed.) Numbers V Check answe n a s 3.ng @l @5294." 'an example Get more help