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Hogar Banco de preguntas Matemáticas Estadísticas Archive 2024 December 17

Statistics Questions from Dec 17,2024

Browse the Statistics Q&A Archive for Dec 17,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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A professor wants to estimate how many hours per week her students study. A simple random sample of 55 students had a mean of 18 hours of studying per week. Construct a confidence interval for the mean number of hours a student studies per week. Assume that the population standard deviation is known to be 2.8 hours per week. Round to two decimal places. Answer A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. He wants to construct the confidence interval with a maximum error of 0.17 reproductions per hour. Assuming that the mean is 11.9 reproductions and the variance is known to be 4 , what is the minimum sample size required for the estimate? Round your answer up to the next integer. Answer How to enter your answer (opens in new window) The mean number of hours watching TV per week for a sample of 317 teenagers is 24 . If the margin of error for the population mean with a confidence interval is 1.5 , construct a confidence interval for the mean number of hours watching per week for all teenagers. Answer How to enter your answer (opens in new window) An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California. He believes that the mean income is , and the standard deviation is known to be . How large of a sample would be required in order to estimate the mean per capita income at the level of confidence with an error of at most ? Round your answer up to the next integer. Answer How to enter your answer (opens in new window) The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. They would like the estimate to have a maximum error of 0.14 gallons. A previous study found that for an average family the variance is 1.44 gallons and the mean is 16.7 gallons per day. If they are using a level of confidence, how large of a sample is required to estimate the mean usage of water? Round your answer up to the next integer. Answer How to enter your answer (opens in newi window) A marketing research company desires to know the mean consumption of meat per week among males over age 26. They believe that the meat consumption has a mean of 3.7 pounds, and want to construct a confidence interval with a maximum error of 0.09 pounds. Assuming a standard deviation of 1.4 pounds, what is the minimum number of males over age 26 they must include in their sample? Round your answer up to the next integer. Answer How to enter your answer (opens in new window) A survey of 52 randomly selected homeowners finds that they spend a mean of per month on home maintenance. Construct a confidence interval for the mean amount of money spent per month on home maintenance by all homeowners. Assume that the population standard deviation is per month. Round to the nearest cent. Answer A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. He wants to construct the confidence interval with a maximum error of 0.18 reproductions per hour. Assuming that the mean is 5.6 reproductions and the standard deviation is known to be 2.2 , what is the minimum sample size required for the estimate? Round your answer up to the next integer. Answer How to enter your answer (opens in new window) An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that the mean income is , and the standard deviation is known to be . How large of a sample would be required in order to estimate the mean per capita income at the level of confidence with an error of at most ? Round your answer up to the next integer. Answer How to enter your answer (opens in new window) An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that the mean income is , and the standard deviation is known to be . How large of a sample would be required in order to estimate the mean per capita income at the level of confidence with an error of at most ? Round your answer up to the next integer. Answer How to enter your answer (opens in new window)
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