Identify each problem as one of the following: appropriate sample size for a proportion, appropriate sample...

 

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Identify each problem as one of the following: appropriate sample size for a proportion, appropriate sample size for a mean, confidence interval for a proportion, confidence interval for a mean, one proportion test, one mean test List the wording or information you used to make your decision. 1) What percentage of young drivers run red lights? A survey of 124 drivers aged 18 to 25 showed that 89 of them run red lights. Construct a 90% confidence interval for the proportion of all drivers aged 18 to 25 that run red lights. 2) A researcher wants to determine what proportion of all high school students have Internet access at home. He has no idea of what the sample proportion will be. How large of a sample is required in order to be 95% sure that the sample proportion is off by no more than 5%? 3) A random sample of 13 accountants showed that they had a mean salary of $46,328 and a standard deviation of $17,298. Use this sample to test the claim that the mean accountant salary is higher than $40,000 at the 0.05 level of significance. 4) It is claimed that 60% of all 18- to 25-year olds have used alcohol in the past 30 days. A survey of 125 students on campus who are between the ages of 18 and 25 showed that 83 have used alcohol in the past 30 days. Test the claim at the 0.05 level of significance. 5) Here are 10 randomly selected blood sugar levels from a laboratory. (Levels measured after a 12-hour fast in mg/DL.) 105 89 96 135 94 91 111 107 141 83 Construct a 90% confidence interval for the mean blood sugar level of all people after a 12-hour fast. 6) The public relations officer at a college wants to estimate the mean IQ of all college students. If she wants to be 95% confident that her sample mean to be off by no more than 2 points, how large of a sample is necessary? The standard deviation for IQ scores is 15 points. I Identify each problem as one of the following: appropriate sample size for a proportion, appropriate sample size for a mean, confidence interval for a proportion, confidence interval for a mean, one proportion test, one mean test List the wording or information you used to make your decision. 1) What percentage of young drivers run red lights? A survey of 124 drivers aged 18 to 25 showed that 89 of them run red lights. Construct a 90% confidence interval for the proportion of all drivers aged 18 to 25 that run red lights. 2) A researcher wants to determine what proportion of all high school students have Internet access at home. He has no idea of what the sample proportion will be. How large of a sample is required in order to be 95% sure that the sample proportion is off by no more than 5%? 3) A random sample of 13 accountants showed that they had a mean salary of $46,328 and a standard deviation of $17,298. Use this sample to test the claim that the mean accountant salary is higher than $40,000 at the 0.05 level of significance. 4) It is claimed that 60% of all 18- to 25-year olds have used alcohol in the past 30 days. A survey of 125 students on campus who are between the ages of 18 and 25 showed that 83 have used alcohol in the past 30 days. Test the claim at the 0.05 level of significance. 5) Here are 10 randomly selected blood sugar levels from a laboratory. (Levels measured after a 12-hour fast in mg/DL.) 105 89 96 135 94 91 111 107 141 83 Construct a 90% confidence interval for the mean blood sugar level of all people after a 12-hour fast. 6) The public relations officer at a college wants to estimate the mean IQ of all college students. If she wants to be 95% confident that her sample mean to be off by no more than 2 points, how large of a sample is necessary? The standard deviation for IQ scores is 15 points. I

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