Question 7 What is the smallest sample size that guarantees that the margin of error is less than 18 when constructing a 98% confidence interval for a population mean with the assumed population standard deviation of 893.69? (Round UP to the nearest integer)

SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300. An administrator at a college is interested in estimating the average SAT score of first-year students. If the administrator would like to limit the margin of error of the 96% confidence interval to 5 points, how many students should the administrator sample? Make sure to give a whole number answer.

In order to determine the true mean pulse rate of New York citizens you take a sample of 16 and the sample mean is 72 with a standard deviation of 9 beats per minute. Based on this data, the 95% confidence interval for the true mean pulse rate of New York Citizens is 72 plus or minus________?

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You want to estimate the mean weight of quarters in circulation. A sample of 60 quarters has a mean weight of 5.682 grams and a standard deviation of 0.061 gram. Use a single value to estimate the mean weight of all quarters. Also, find the 95% confidence interval for the average weight of all quarters. The estimate for the mean weight of all quarters is (Round to three decimal places as needed.) grams. Find the 95% confidence interval for the mean weight of all quarters. grams < p< grams (Round to three decimal places as needed.)

Hello,  can you help me with this math problem and show me step by step to understand this math problem. Thank you. In a random sample of 8, people the mean commute time to work was 36.5 mins and the standard deviation was 7.4 mins . A 98% confidence interval using the t-distribution was calculated (2.87, 44.3). After researching commute times to work, it was found that the population standard deviation is 8.8 mins. Find the margin of error and construct a 98% confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known. Compare the results. The margin of error of μ is________ (Round to two decimal places as​ needed.)

You want to estimate the mean weight of quarters in circulation. A sample of 50 quarters has a mean weight of 5.658 grams and a standard deviation of 0.064 gram. Use a single value to estimate the mean weight of all quarters. Also, find the 95% confidence interval for the average weight of all quarters. grams. The estimate for the mean weight of all quarters is (Round to three decimal places as needed.) Find the 95% confidence interval for the mean weight of all quarters. grams<μ< grams (Round to three decimal places as needed.)

A labor department wants to study mean age of all people in the civilian labor force. The average age of 49 randomly selected people in the civilian labor force is found to be 35.6 years. Assuming the population standard deviation is 11, what is the 95% confidence interval for true population mean?

Suppose we are about to sample 150 values from a normally distributed population that has a mean of 500 and a standard deviation of 10.  What is the 80th percentile of the sampling distribution of the sample mean in this scenario? (Give your numeric response to at least 3 decimal places.

SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300. An administrator at a college is interested in estimating the average SAT score of first-year students. If the administrator would like to limit the margin of error of the 96% confidence interval to 20 points, how many students should the administrator sample? Make sure to give a whole number answer.