MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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List the 4 conditions necessary to assume the sampling distribution of sample proportions follows a
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- For a normal distribution, identify the z-score location that would seperate the distribution into two sections so that there is a) 70% in the body on the right-hand side b) 80% in the body on the left-hand sidearrow_forwardExplain the normal distribution, the Z-score, and the central limit theorem.arrow_forwardA random sample of 40 students at a local high school were asked if they carpool to school. Assume the true proportion of students that carpool to school is 20%. Let X = the number of students in the sample that carpool to school. Would it be appropriate to use a normal distribution to model the sampling distribution of X? Yes, there are at least 10 "successes" expected and 10 "failures" expected so it is appropriate to use a normal distribution to model the sampling distribution of X. No, there are not at least 10 "successes" expected, although there are at least 10 "failures" expected. It is not appropriate to use a normal distribution to model the sampling distribution of X. No, there are least 10 "successes" expected, but there are not at least 10 "failures" expected so it is not appropriate to use a normal distribution to model the sampling distribution of X. No, the sample size is greater than 10, so it is not appropriate to use a normal distribution to model the sampling…arrow_forward
- According to a survey in a country, 21% of adults do not own a credit card. Suppose a simple random sample of 200 adults is obtained. Complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Describe the sampling distribution of p, the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of p below. O A. Not normal because ns0.05N and np(1 - p) 2 10 B. Approximately normal because ns0.05N and np(1- p) 2 10 O C. Not normal because ns0.05N and np(1 - p) < 10 O D. Approximately normal because ns0.05N and np(1- p) < 10 Determine the mean of the sampling distribution of p. Ha = 0.21 (Round to two decimal places as needed.) Determine the standard deviation of the sampling distribution of p. GA = 0.029 (Round to three decimal places as needed.) (b) What is the probability that in a random…arrow_forwardIf a normal sampling distribution can be used, identify the rejection region(s). Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.arrow_forwardFor any normal distribution, what is the probablity of selection a score less than the mean?arrow_forward
- According to a survey in a country, 21% of adults do not own a credit card. Suppose a simple random sample of 200 adults is obtained. Complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Describe the sampling distribution of p, the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of p below. O A. Not normal because ns0.05N and np(1 - p) 2 10 B. Approximately normal because ns0.05N and np(1 - p) 2 10 O C. Not normal because ns0.05N and np(1 - p) < 10 O D. Approximately normal because ns0.05N and np(1- p) < 10 Determine the mean of the sampling distribution of p. HA = 0.21 (Round to two decimal places as needed.) Determine the standard deviation of the sampling distribution of p. On = 0.029 (Round to three decimal places as needed.) (b) What is the probability that in a random…arrow_forwardDefine Random Sampling and the Distribution of the Sample Average?arrow_forwardWhat is the mean of the sampling distribution? (round to 3 decimal places)arrow_forward
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