Suppose a sample of O-rings was obtained and the wall thickness (in inches) of each was recorded. Use a normal probability plot to assess whether the sample data could have come from a population that is normally distributed. 0.165 0.180 0.195 0.211 0.215 0.224 0.246 0.243 0.256 0.257 0.267 0.280 0.285 0.305 0.316 0.340 Click here to view the table of critical values. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Using the correlation coefficient of the normal probability plot, is it reasonable to conclude that the population is normally distributed? Select the correct choice below and fill in the answer boxes within your choice. (Round to three decimal places as needed.) A. No. The correlation between the expected z-scores and the observed data, OB. Yes. The correlation between the expected z-scores and the observed data, C. Yes. The correlation between the expected z-scores and the observed data, D. No. The correlation between the expected z-scores and the observed data, Therefore, it is not reasonable to conclude that the data come from a normal population. . Therefore, it is reasonable to conclude that the data come from a normal population. , does not exceed the critical value, exceeds the critical value, exceeds the critical value, does not exceed the critical value, . Therefore, it is not reasonable to conclude that the data come from a normal population. Therefore, it is reasonable to conclude that the data come from a normal population. In a recent poll, 35% of survey respondents said that, if they only had one child, they would prefer the child to be a boy. Suppose you conducted a survey of 170 randomly selected students on your campus and find that 74 of them would prefer a boy. (a) Use the normal approximation to the binomial to approximate the probability that, in a random sample of 170 students, at least 74 would prefer a boy, assuming the true percentage is 35%. (b) Does this result contradict the poll? Explain. (a) The probability that at least 74 students would prefer a boy is (Round to four decimal places as needed.) A simple random sample of size n = 81 is obtained from a population that is skewed right with = 90 and = 18. (a) Describe the sampling distribution of x. (b) What is P (x > 93.7)? (c) What is P (x85.8)? (d) What is P (88.9 A simple random sample of size n = 44 is obtained from a population with = 69 and = 19. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample mean? Assuming that this condition is true, describe the sampling distribution of x. (b) Assuming the normal model can be used, determine P(x < 72.4). (c) Assuming the normal model can be used, determine P(x 70.9). (a) What must be true regarding the distribution of the population? A. The population must be normally distributed and the sample size must be large. B. Since the sample size is large enough, the population distribution does not need to be normal. C. The sampling distribution must be assumed to be normal. OD. The population must be normally distributed. Suppose a simple random sample of size n = 50 is obtained from a population whose size is N = 10,000 and whose population proportion with a specified characteristic is p = 0.6. Complete parts (a) through (c) below. (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below. OA. Not normal because n 0.05N and np(1 - p) < 10. B. Approximately normal because n 0.05N and np(1 - p) < 10. OC. Not normal because n0.05N and np(1 - p) 10. D. Approximately normal because n 0.05N and np(1 - p) 10. For the following, indicate whether a confidence interval for a proportion or mean should be constructed to estimate the variable of interest. Justify your response. Researchers within an organization asked a random sample of 1016 adults aged 21 years or older, "Right now, do you think the state of moral values in the country as a whole is getting better, or getting worse?" The confidence interval for a should be constructed because the variable of interest is which is a variable. For the following, indicate whether a confidence interval for a proportion or mean should be constructed to estimate the variable of interest. A researcher with a golf association obtained a random sample of 25 rounds of golf on a Saturday morning and recorded the time it took to complete the round. The goal of the research was to estimate the amount of time it typically takes to complete a round of golf on Saturday morning. The confidence interval for a population should be constructed because the variable of interest is which is a variable.