You intend to estimate a population mean μμ with the following sample. 13.3 22.3 30.2 27.2 24.8 22.9 28.7 24.2 23.4 27
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You intend to estimate a population mean μμ with the following sample.
| 13.3 |
| 22.3 |
| 30.2 |
| 27.2 |
| 24.8 |
| 22.9 |
| 28.7 |
| 24.2 |
| 23.4 |
| 27 |
You believe the population is
Given that
Sample size n =10
80% confidence
Step by step
Solved in 3 steps with 1 images
- You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 14 containers. Estimate the population standard deviation at a 80% level of confidence. 12.07 12.15 12.01 11.92 12.04 12.11 12.03 11.9 12.01 11.99 11.88 12.04 11.97 12.02 (Data checksum: 168.14) Note: Keep as many decimals as possible while making these calculations. If possible, keep all answers exact by storing answers as variables on your calculator or computer. a) Find the sample standard deviation: b) Find the lower and upper x critical values at 80% confidence: Lower: Upper: c). Report your confidence interval for o: (You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 14 containers. Estimate the population standard deviation at a 90% level of confidence. 12.07 11.96 11.93 12.16 12.06 11.9 12.06 12.21 11.86 12.03 11.86 11.83 11.99 12.09 (Data checksum: 168.01) Note: Keep as many decimals as possible while making these calculations. If possible, keep all answers exact by storing answers as variables on your calculator or computer. a) Find the sample standard deviation: b) Find the lower and upper χ2χ2 critical values at 90% confidence:Lower: Upper: c) Report your confidence interval for σσ: ( , )A laboratory tested 85 chicken eggs and found that the mean amount of cholesterol was 191 milligrams. Assume that o = 16.2 milligrams. Construct a 95% confidence interval for the true mean cholesterol content, µ, of all such eggs. Round to one decimal place. O A. 186.9 to 195.1 milligrams B. 186.5 to 195.5 milligrams C. 188.1 to 193.9 milligrams D. 187.6 to 194.4 milligrams
- How much noisier are streets where cars travel faster? An article reports noise levels in decibels and average speed in kilometers per hour for a sample of roads. The following table presents the results. Speed 28.26 Noise 78.1 36.22 79.6 38.73 81.0 29.07 78.7 30.28 78.6 30.25 78.2 29.03 33.17 78.4 79.6 Find a 95% prediction interval for the mean noise level for streets whose average speed is 30 kilometers per hour. (Round the final answers to three decimal places.) The 95% prediction interval for the mean is (I need the right answers!You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 14 containers. Estimate the population standard deviation at a 90% level of confidence. 11.9 12.02 11.91 11.93 12.01 12.08 12.07 11.85 12.02 12.15 12.02 11.88 12.05 11.81 (Data checksum: 167.7) Note: Keep as many decimals as possible while making these calculations. If possible, keep all answers exact by storing answers as variables on your calculator or computer. a) Find the sample standard deviation: b) Find the lower and upper χ2χ2 critical values at 90% confidence:Lower: Upper: c) Report your confidence interval for σσ: ( , )
- You intend to estimate a population mean u with the following sample. 3.3 41.8 3.4 39.9 47.8 68.7 32 -0.9 29.1 You believe the population is normally distributed. Find the 99.9% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to twp decimal places (because the sample data are reported accurate to one decimal place). 99.9% C.I. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 15 containers. Estimate the population standard deviation at a 80% level of confidence. 11.86 12.12 12.2 12.08 12.06 12.09 11.92 12.26 12.04 12.1 11.85 11.97 11.85 12 12.01 (Data checksum: 180.41) Keep as many decimals as possible while making these calculations. a) Find the sample standard deviation: b) Find the lower and upper χ2χ2 critical values at 80% confidence:Lower: Upper: c) Report your confidence interval for σσ:You intend to estimate a population mean u with the following sample. 31.6 30 6.9 26.2 17.9 31.3 26.6 26.8 You believe the population is normally distributed. Find the 99.5% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to twp decimal places (because the sample data are reported accurate to one decimal place). 99.5% C.I. =
- You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 16 containers. Estimate the population standard deviation at a 90% level of confidence. 12.07 12.18 12.05 12.1 11.98 12.07 12.14 11.98 11.95 12.02 11.94 12.02 11.95 11.97 11.95 11.93 (Data checksum: 192.3) Note: Keep as many decimals as possible while making these calculations. If possible, keep all answers exact by storing answers as variables on your calculator or computer. a) Find the sample standard deviation: b) Find the lower and upper χ2χ2 critical values at 90% confidence:Lower: Upper: c) Report your confidence interval for σσ: ( , )You intend to estimate a population mean μ with the following sample. 72.5 63.8 60.9 74.5 64.2 62.3 66.5 80.7 77.1 85.2 84 You believe the population is normally distributed. Find the 99.5% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to twp decimal places (because the sample data are reported accurate to one decimal place).99.5% C.I. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 18 containers. Estimate the population standard deviation at a 80% level of confidence. 12.08 12 12.1 11.98 12.1 12.09 11.91 12.01 11.95 12.12 12 12.1 11.97 11.95 12.07 12.1 11.96 12.02 Note: Keep as many decimals as possible while making these calculations. If possible, keep all answers exact by storing answers as variables on your calculator or computer. a) Find the sample standard deviation: b) Find the lower and upper χ2 critical values at 80% confidence:Lower: Upper: c) Report your confidence interval for σ: ( , )
