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Home Question Bank Math Statistics Archive 2024 November 23

Statistics Questions from Nov 23,2024

Browse the Statistics Q&A Archive for Nov 23,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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According to a survey, of residents of a country 25 years old or older had eamed at least a bachelor's degree. You are performing a study and would like at least 10 people in the study to have earned at least a bachelor's degree. (a) How many residents of the country 25 years old or older do you expect to randomly select? (b) How many residents of the country 25 years old or older do you have to randomly select to have a probability 0.996 that the sample contains at least 10 who have earned at least a bachelor's degree? (a) The number of randomly selected residents is If is the mean of the data , then the mode is a) 2 b) 3 c) 4 d) 9 e) None of the above You wish to test the following claim at a significance level of . You believe the population is normally distributed and you know the standard deviation is . You obtain a sample mean of for a sample of size . What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) greater than This test statistic leads to a decision to... reject the null accept the null fail to reject the null Suppose that a recent poll found that of adults believe that the overall state of moral values is poor. Complete parts (a) through (c). (a) For 200 randomly selected adults, compute the mean and standard deviation of the random variable , the number of adults who believe that the overall state of moral values is poor. The mean of is 86 . (Round to the nearest whole number as needed.) The standard deviation of is 7.0 . (Round to the nearest tenth as needed.) (b) Interpret the mean. Choose the correct answer below. A. For every 200 adults, the mean is the minimum number of them that would be expected to believe that the overall state of moral values is poor. O C. For every 86 adults, the mean is the maximum number of 200 adults, the mean is the range that would be expected to believe that the overall state of moral values is poor. D. For every 200 adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor. Suppose that a recent poll found that of adults believe that the overall state of moral values is poor. Complete parts (a) through (c). (a) For 200 randomly selected adults, compute the mean and standard deviation of the random variable , the number of adults who believe that the overall state of moral values is poor. The mean of is 86 . (Round to the nearest whole number as needed.) The standard deviation of is . (Round to the nearest tenth as needed.) Suppose that a recent poll found that of adults believe that the overall state of moral values is poor. Complete parts (a) through (c). (a) For 200 randomly selected adults, compute the mean and standard deviation of the random variable , the number of adults who believe that the overall state of moral values is poor. The mean of X is You wish to test the following claim at a significance level of . You obtain a sample of size in which there are 533 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) greater than This leads to a decision to... reject the null accept the null fail to reject the null Scenario: The UCLA Internet Report (February 2003) estimated that roughly of Internet users are extremely concerned about credit card fraud when buying online. Has that figure changed since? To test this, a random sample of 100 Internet users was chosen. When interviewed, 10 said that they were extremely worried about credit card fraud when buying online. Let p be the proportion of all Internet users who are concerned about credit card fraud. Which of the following is correct: It is safe to use the z-test for p. it is not safe to use the z-test for p, since the sample is not a random sample from the entire population (or cannot be considered as one). It is not safe to use the z-test for p since n * pois not large enough. It is not safe to use the z-test for p since n * ( 1 - po) is not large enough. Suppose that a recent poll found that of adults believe that the overall state of moral values is poor. Complete parts (a) through (c). (a) For 250 randomly selected adults, compute the mean and standard deviation of the random variable , the number of adults who believe that the overall state of moral values is poor. The mean of is Scenario: According to the UCLA Internet Report (February 2003) the use of the Internet at home is growing steadily. The report estimated that roughly of households in the Unites States have Internet access at home. Has that trend continued since the report was released? To study this, a random sample of 1,200 households from a big metropolitan area was chosen, and it was found that 972 had an Internet connection. Let p be the proportion of U.S. households that have Internet access. Which of the following is correct: It is safe to use the z-test for p. It is not safe to use the z-test for p, since the population (or cannot be considered as one). It is not safe to use the z-test for p since n * pois not large enough. It is not safe to use the z-test for p since n * (1 - ) is not large enough.
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