F_WW#4_LongQuiz#3 Q.) 'lhr12mins x Score: 0/30 0f8 answered Progress saved Submitand End (E) 115' 0 Question 1 v a 0/3 pts '0 3 G) Details Which of the following statements are true? I. The sampling distribution of :E has standard 0' deviation even if the population is not normally VIE distributed. II. The sampling distribution of :E is normal if the population has a normal distribution. lll. When n is large, the sampling distribution of i is approximately normal even if the the population is not normally distributed. OI and II OI and III C) II and III C) I, II, and III 0 None of the above gives the complete set of true responses. Check Answer III C) a 0/3 pts '0 3 G) Details Which of the following statements about the sampling distribution of the sample mean, x-bar, is not true? A) The distribution is normal regardless of the shape of the population distribution, as long as the sample size, n, is large enough. B) The distribution is normal regardless of the sample size, as long as the population distribution is normal. C) The distribution's mean is the same as the population mean. D) The distribution's standard deviation is smaller than the population standard deviation. E) None of the above are not true; All of the above statements are true. 0 Choice A 0 Choice 8 0 Choice C 0 Choice D 0 Choice E Check Answer I\" C) ' a 0/6 pts '0 3 G) Details A population of values has an unknown distribution with p : 241.6 and a : 72.1. You intend to draw a random sample of size n : 115. What is the mean of the distribution of sample means? g : C] (Please enter an exact answer.) What is the standard deviation of the distribution of sample means? oi : C] (Please report your answer accurate to 2 decimal places.) i CheckAnswer l III C) a 0/6 pts '0 3 G) Details The lifetime of a certain type of automobile tire (in thousands of miles) is normally distributed with a mean of 36 and a standard deviation of 7. Find the following probabilities. round to the fourth. a) What is the probability 30 randomly chosen tires have an average lifetime greater than 41 D Would it be unusual or usual for this to happen? Select an answer v b) What is the probability 18 randomly chosen tires have a lifetime less than 35 D Would it be unusual or usual for this to happen? Select an answer v " Check Answer I\" C) ' E 0/2 pts '0 3 (D Details Let X represent the full height of a certain species of tree. Assume that we do not know the distribution of X. however, we do know that p, : 51.8 ft and a : 21 ft. You intend to measure a random sample of n : 245 trees. What is the mean of the distribution of sample means? g : C] (Please enter an exact answer.) What is the standard deviation of the distribution of sample means (i.e., the standard error in estimating the mean)? oi : C] (Please report answer accurate to 2 decimal places.) i CheckAnswer l III C) 0/6 pts 3 0 Details . Error loading library misc Given that / = 81, 0 = 20, and n = 49 Find the Probability of the following: a x 85 Check Answer O 0/3 pts 3 0 Details . Error loading library misc The height of the dogs in a pet shop is normally distributed with the average height of 25 cm and the standard deviation of 15cm. If we randomly select 16 dogs, what is the probability that the mean height is less than 31? If we randomly select 20, what is the probability that the mean height is greater than 35? Check Answer O 0/1 pt 9 3 0 Details . Error loading library misc Given that u = 235, 0 = 80 , n = 64 Find 233