American Military University Statistics Confidence Intervals and Sample Size Quiz
Question 1 (1 point) The population standard deviation for the height of college basketball players is 3 inches. If we want to estimate a 99% confidence interval for the population mean height of these players with a 0.5 margin of error, how many randomly selected players must be surveyed? (Round up your answer to nearest whole number) Answer:Question 2 (1 point) Suppose a marketing company wants to determine the current proportion of customers who click on ads on their smartphones. It was estimated that the current proportion of customers who click on ads on their smartphones is 0.68. How many customers should the company survey in order to be 97% confident that the margin of error is 0.29 for the confidence interval of true proportion of customers who click on ads on their smartphones? Answer: (Round up your answer to nearest whole number)Question 3 (1 point) Select the correct answer for the blank: If everything else stays the same, the required sample size ____ as the confidence level increases to reach the same margin of error. Answer:IncreasesDecreasesRemains the sameQuestion 4 (1 point) Select the correct answer for the blank: If everything else stays the same, the required sample size ____ as the confidence level decreases to reach the same margin of error. Answer:IncreasesDecreasesRemains the sameQuestion 5 (1 point) The population standard deviation for the height of college basketball players is 3.5 inches. If we want to estimate 97% confidence interval for the population mean height of these players with a 0.5 margin of error, how many randomly selected players must be surveyed? (Round up your answer to nearest whole number) Answer:Question 6 (1 point) The population standard deviation for the height of college basketball players is 3 inches. If we want to estimate 97% confidence interval for the population mean height of these players with a 0.6 margin of error, how many randomly selected players must be surveyed? (Round up your answer to nearest whole number) Answer:Question 7 (1 point) There is no prior information about the proportion of Americans who support gun control in 2018. If we want to estimate 92% confidence interval for the true proportion of Americans who support gun control in 2018 with a 0.2 margin of error, how many randomly selected Americans must be surveyed? Answer: (Round up your answer to nearest whole number)Question 8 (1 point) A random sample found that forty percent of 100 Americans were satisfied with the gun control laws in 2017. Compute a 99% confidence interval for the true proportion of Americans who were satisfied with the gun control laws in 2017. Fill in the blanks appropriately.A 99% confidence interval for the true proportion of Americans who were satisfied with the gun control laws in 2017 is () (round to 3 decimal places)Question 9 (1 point) In a random sample of 80 people, 52 consider themselves as baseball fans. Compute a 95% confidence interval for the true proportion of people consider themselves as baseball fans and fill in the blanks appropriately.We are 95% confident that the true proportion of people consider themselves as baseball fans is betweenand. (round to 3 decimal places)Question 10 (1 point) A random sample of 150 people was selected and 12% of them were left handed. Find the 90% confidence interval for the proportion of left-handed people.(0.0436, 0.1164)(0.068, 0.172)(.12, .88)(–1.645, 1.645)(0.0764, 0.1636)Question 11 (1 point) Suppose a marketing company wants to determine the current proportion of customers who click on ads on their smartphones. It was estimated that the current proportion of customers who click on ads on their smartphones is 0.42 based on a random sample of 100 customers.Compute a 92% confidence interval for the true proportion of customers who click on ads on their smartphones and fill in the blanks appropriately.< p <(round to 3 decimal places)Question 12 (1 point) Suppose you compute a confidence interval with a sample size of 25. What will happen to the confidence interval if the sample size increases to 50?Get largerNothingGet smallerQuestion 13 (1 point) The percent defective for parts produced by a manufacturing process is targeted at 4%. The process is monitored daily by taking samples of sizes n = 160 units. Suppose that today's sample contains 14 defectives.How many units would have to be sampled to be 95% confident that you can estimate the fraction of defective parts within 2% (using the information from today's sample--that is using the result that p̂=0.0875)?Place your answer, as a whole number, in the blank. For example, 567 would be a legitimate entry.Question 15 (1 point) A sample of 9 production managers with over 15 years of experience has an average salary of $71,000 and a sample standard deviation of $18,000.Assuming that the salaries of production managers with over 15 years experience are normally distributed, you can be 95% confident that the mean salary for all production managers with at least 15 years of experience is between what two numbers.Place your LOWER limit, rounded to a whole number, in the first blank. Do not use a dollar sign, a comma, or any other stray mark. For example, 54321 would be a legitimate entry.___. Place your UPPER limit, rounded to a whole number, in the second blank. Do not use a dollar sign, a comma, or any other stray mark. For example, 65432 would be a legitimate entry.___Answer # 1 Answer # 2 Question 16 (1 point) After calculating the sample size needed to estimate a population proportion to within 0.05, you have been told that the maximum allowable error (E) must be reduced to just 0.025. If the original calculation led to a sample size of 1000, the sample size will now have to be___.Place your answer, as a whole number in the blank. For example, 2345 would be a legitimate entry.Question 18 (1 point) A random sample of college football players had an average height of 64.55 inches. Based on this sample, (63.2, 65.9) found to be a 92% confidence interval for the population mean height of college football players. Select the correct answer to interpret this interval.-We are 92% confident that the population mean height of college football players is between 63.2 and 65.9 inches.-We are 92% confident that the population mean height of college football palyers is 64.55 inches.-A 92% of college football players have height between 63.2 and 65.9 inches.-There is a 92% chance that the population mean height of college football players is between 63.2 and 65.9 inches.Question 20 (1 point) A random sample of college football players had an average height of 66.35 inches. Based on this sample, (65.6, 67.1) found to be a 90% confidence interval for the population mean height of college football players. Select the correct answer to interpret this interval.-We are 90% confident that the population mean height of college football players is between 65.6 and 67.1 inches.-There is a 90% chance that the population mean height of college football players is between 65.6 and 67.1 inches.-We are 90% confident that the population mean height of college football palyers is 66.35 inches.-A 90% of college football players have height between 65.6 and 67.1 inches.