9 Questions on Sampling Distribution - Assignment | MATH 1530, Assignments of Statistics

Download 9 Questions on Sampling Distribution - Assignment | MATH 1530 and more Assignments Statistics in PDF only on Docsity! Math 1530 Sampling distribution Questions 1 - 3 refer to this case: A factory produces plate glass with a mean thickness of 4 mm and a standard deviation of 1.1 mm. A simple random sample of 100 sheets of glass is to be measured, and the sample mean thickness of the 100 sheets x is to be computed. 1.What is the probability that the average thickness x of the 100 sheets of glass is less than 4.1 mm? A) 0.8183 B) 0.5362 C) 0.1817 D) 0.6817 2.Which of these statements is closest to the truth in relation to the use of the normal distribution to find the answer question 1. A) It is not really right to use the normal distribution because we were not told that the thickness has a normal distribution B) It is appropriate to use the normal distribution because the sample size is large C) It is appropriate to use the normal distribution because the sample was random D) It is appropriate to use the normal distribution because we know the mean of the population 3. Now we are told that the thickness has a normal distribution. What is the probability that if we pick one plate glass at random. What is the probability that its thickness is less than 4.1 ? A) 0.8183 B) 0.5362 C) 0.1817 D) 0.6817 4. A certain variable has normal distribution with mean 50 and standard deviation 4. Random samples of size 4 are to be taken. The distribution of the sample mean is: a) unknown distribution with mean 50 and standard deviation 4. b) Normal distribution with mean 50 and standard deviation 4. c) Unknown distribution with mean 50 and standard deviation 2. d) Normal distribution with mean 50 and standard deviation 2. 5.The sampling distribution of a statistic is what? a. the probability that we obtain the statistic in repeated random samples b. the mechanism that determines whether randomization was effective c. the distribution of values taken by a statistic in all possible samples of the same size from the same population d. the extent to which the sample results differ systematically from the truth e. The histogram of the data in the sample