A random sample of 93 observations produced a mean x = 25.5 and a standard deviation s 2.8. a. Find a 95% confidence interval for u. b. Find a 90% confidence interval for u. c. Find a 99% confidence interval for u.
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- Find a 90% confidence interval for the population mean age of the Smurfs if a sample of 52 smurfs have a mean age of 49.7 years. The standard deviation is know to be 3.4. The Margin of Error (3 decimals) is E = . The answer is We are 90% confident the true mean age of Smurfs is between and years.Assume that a sample is used to estimate a population mean μ. Find the 95% confidence interval for a sample of size 41 with a mean of 54.6 and a population standard deviation of 7.3. Enter your answer as an open-interval (i.e., parentheses) accurate to 3 decimal places. 95% C.I. -for a sample of 150 that has a mean of 6540 and a standard deviation of .89, calculate the 95% confidence interval.
- A sample of 20 heads of lettuce was selected. Assume that the population distribution of head weight is normal. The weight of each head of lettuce was then recorded. The mean weight was 2.2 pounds with a standard deviation of 0.1 pounds. The population standard deviation is known to be 0.2 pounds. a. Find the z-scores that corresponds to a 90% confidence interval from the normal table. b. Find the error bound (margin of error) for a 90% confidence interval for the population mean weight of the heads of lettuce. Round to three decimal places.Assume that a sample is used to estimate a population mean u. Find the 98% confidence interval for a sample of size 50 with a mean of 23.2 and a standard deviation of 15.1. Enter your answer as an open- interval (i.e., parentheses) accurate to 3 decimal places. 98% C.I.The mean and standard deviation of a random sample of n measurements are equal to 34.4 and 3.6, respectively. a. Find a 90% confidence interval for μ if n=64. b. Find a 90% confidence interval for μ if n=256. c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed?
- Assume that a sample is used to estimate a population mean μμ. Find the 98% confidence interval for a sample of size 60 with a mean of 31.9 and a standard deviation of 17.1. Enter your answer as an open-interval (i.e., parentheses) accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).98% C.I. =Assume that a sample is used to estimate a population mean μμ. Find the 90% confidence interval for a sample of size 69 with a mean of 28.9 and a standard deviation of 14.9. Enter your answer as an open-interval (i.e., parentheses) accurate to 3 decimal places.90% C.I. =A sample of size n=15 has sample mean "x"=2.1 and sample standard deviation s=1.7. A. Construct a 95% confidence interval for the population mean "u". b. If the sample size were n=25, would the confidence interval narrower or wider.
- Assume that a sample is used to estimate a population mean μμ. Find the 90% confidence interval for a sample of size 39 with a mean of 74.7 and a standard deviation of 19.7. Enter your answer as an open-interval (i.e., parentheses) accurate to 3 decimal places. 90% C.I. = The answer should be obtained without any preliminary rounding.Use the given data to find the 95% confidence interval estimate of the population mean u. Assume that the population has a normal distribution. IQ scores of professional athletes: Sample size n = 30 Mean x = 106 Standard deviation s = 12he mean and standard deviation of a random sample of n measurements are equal to 34.1 and 3.5, respectively. a. Find a 99% confidence interval for μ if n=144. b. Find a 99% confidence interval for μ if n=576.
