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 research company desires to know the mean consumption of meat per week among people over age 24. They believe that the meat consumption has a mean of 4.4 pounds, and want to construct a confidence interval with a maximum error of 0.08 pounds. Assuming a variance of 0.36 pounds, what is the minimum number of people over age 24 they must include in their sample? Round your answer up to the next integer. 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 knowin to be 2.8 hours per week. Round to two decimal places. Answer A fashion designer wants to know how many new dresses women buy each year. A sample of 1297 women was taken to study their purchasing habits. Construct the confidence interval for the mean number of dresses purchased each year if the sample mean was found to be 5.6. Assume that the population standard deviation is 1.6. Round your answers to one decimal place. Answer How to enter your answer (opens in new window) In a hospital of 25 Doctors, 8 are Pediatricians. 15 are Surgeons, and 10 are none of those two specialties. Draw a Venn diagram to represent this information and find the number of Doctors who are Surgeons only. The mean number of hours of study time per week for a sample of 63 students is 28 . If the margin of error for the population mean with a confidence interval is 1.8 , construct a confidence interval for the mean number of hours of study time per week for all students. Answer How to enter your answer (opens in new window) A professor wants to estimate how many hours per week her students study. A simple random șample of 66 students had a mean of 15 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 2.2 hours per week. Round to two decimal places. Answer 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 variance 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. 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 variance 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) What's More Now it's your turn to show what you have understood about our discussion. Perform the given activity below. Use a separate sheet of paper. Activity 1.2: What's the Sample Mean? Instructions: Answer the problem below and show your solution on a separate sheet of paper. A survey is conducted to determine the average number of students per class who preferred modular-offline digital as their learning modality in this time of pandemic. The survey showed that the mean is 32 with the standard deviation of 8 . If the survey is to be conducted to a class with 60 students, answer the following questions: 1. what is the mean and the standard deviation of the sampling distribution of the sample means? 2. find the sample mean that is 1.5 standard deviations above the mean of the sampling distribution. A survey of 59 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 ail homeowners. Assume that the population standard deviation is per month. Round to the nearest cent.
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