1. A random sample of 12 kindergarten students yielded a mean weight of 26kg with sample standard deviation of 4.5 kg. Construct a 99% confidence interval for the mean weight of all kindergarten students.
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A: Note: Please repost 2nd question as i can author only one question as per my policy.
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- 3. A random sample of 12 graduates of a certain secretarial school typed an average of 79.3 words per minute with a standard deviation of 7.8 words per minute. Assuming a normal distribution for the number of words typed per minute, Find: a. 93% confidence interval for the average number of words typed by all graduates of this school.1. Suppose that 100 samples of water from a fresh water lake are taken and the calcium concentration (milligrams per liter) is measured. The average is 0.66 mg/l and the standard deviation is 0.049 mg/l. Construct 95% confidence interval for the population mean.6. You randomly select and weigh 27 samples of an allergy medication. The sample standard deviation is 1.22 milligrams. Assuming the weights are normally distributed, construct 90% confidence intervals for the population variance and standard deviation. Please interpret your result.
- 4. A fire extinguisher salesman would like to estimate the mean number of home fires started by candles each year. He obtained fire data for seven randomly selected years from the National Fire Protection Agency. His sample produced a mean of 7041 fires with a standard deviation of 1600. Create the 90% confidence interval of interest.2) A study was conducted to determine if the salaries of librarians from two neighboring cities were equal. A sample of 15 librarians from each city was randomly selected. The mean from the first city was $28,900 with a standard deviation of $2300. The mean from the second city was $30,300 with a standard deviation of $2100. Construct a 95% confidence interval for - P2.In a sample of 10 randomly selected black bears from northeast Pennsylvania, the sample mean was 214.1 pounds and the sample standard deviation was 51.1 pounds. Construct a 99% confidence interval estimate for the population standard deviation of all black bears in this region.
- 14.) A researcher would like to estimate the mean weight of all adult female American alligators in the Everglades. The mean weight of a random sample of 146 adult female American alligators from the Everglades was found to be 217 pounds. The standard deviation of the weights of all adult female American alligators in the Everglades is known to be 16 pounds.Using a 96% confidence level, determine the margin of error, EE, and a confidence interval for the mean weight of all adult female American alligators in the Everglades. Report the confidence interval using interval notation. Round solutions to two decimal places, if necessary.The margin of error is given by E= ___A 96% confidence interval is given by ___1- A researcher makes a research about the life time of batteries which have a normal distribution. In order to understand the life time of batteries s/he randomly selected 49 batteries and calculate the sample mean as 48 hours and standard deviation of 5 hours. Construct 90 % confidence interval for the true population mean of life time of batteries.2. There was a sample of 14 adult wild mountain lions who were caught and released in the San Andres Mountains. The average weight of the sample was 82.55 pounds with a sample standard deviation of 13.45 pounds. Find a 95% confidence interval for the population mean weight of all the wild mountain lions in the San Andres Mountains.
- 4) a. A group of doctors on a particular hospital identified that they attend an average of (15 + 18) patients per hour. Assume the standard deviation is 4. 18 random sample of 36 hours was chosen. Find the 95% confidence interval. b. Find the 90% confidence interval for the variance if a study of (9 + 18) students found the 6.5 years as standard deviation of their ages. Assume the variable is normally distributed.• Example: A sample of 25 physically and mentally healthy males participated in a sleep experiment in which the percentage of each participant's total sleeping time spent in a certain stage of sleep was recorded. • The variance computed from the sample data was 2.25. Construct 95 percent confidence intervals for o².
