Find the indicated confidence interval. Assume the standard error comes from a bootstrap distribution that is approximately normally distributed. A 95% confidence interval for a proportion p if the sample has n=400 with p^=0.43, and the standard error is SE=0.02. Round your answers to three decimal places. The 95% confidence interval is to .

The mean test score for a simple random sample of n=100 students was =80. The population standard deviation of test scores is σ=15. Construct a 95% confidence interval for the population mean test score μ.

The distribution of scores on a standardized test is approximately Normal with standard deviation of σσ = 22. If a sample of 150 students had a mean score of x¯x¯ = 74.3, use this to find a 99% confidence interval for the mean score of all students on this test. We are 99% confident that the the mean score of students on this test was in the interval     What is the margin of error for your confidence interval? Margin of error =

A researcher wants to make a 95% confidence interval for the population mean. She wants the maximum error of estimate to be within 4.8 of the population mean. The population standard deviation is 18.65. What would be the sample size the yield a maximum error of estimate within 4.8 of the population mean?

A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 7.8 reproductions and the population standard deviation is known to be 2.2 If a sample of 697 was used for the study, construct the 85% confidence interval for the true mean number of reproductions per hour for the bacteria. Round your answers to one decimal place

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Overweight Men For a random sample of 70 overweight men, the mean of the number of pounds that they were overweight was 29. The standard deviation of the population is 4.3 pounds. Find the 90% confidence interval of the mean of these pounds. Round intermediate answers to at least three decimal places.