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- 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 95% level of confidence. 11.96 12.04 12.02 12.08 11.99 12.15 12.09 11.78 12.05 11.98 12.01 12.13 12.07 11.91 12.02 12.07 11.9 12.07 (Data checksum: 216.32) 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 95% confidence:Lower: Upper: c) Report your confidence interval for σσ: ( , )Use the standard normal distribution or the t-distribution to construct a 90% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. In a random sample of 40 people, the mean body mass index (BMI) was 26.6 and the standard deviation was 6.13.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 98% level of confidence. 12.19 11.86 12.02 11.91 11.87 12.19 12.09 11.8 12.03 11.9 12.08 11.77 12.17 11.83 11.82 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 98% confidence:Lower: Upper: c) Report your confidence interval for σσ: ( , )
- 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 17 containers. Estimate the population standard deviation at a 98% level of confidence. 11.94 11.93 12.04 11.99 12.06 11.92 11.98 12.11 11.83| 11.88 12.05 11.93 11.96 12.2 11.92 11.82 11.97 (Data checksum: 203.53) 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 98% 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 95% level of confidence. 12.01 12.02 11.69 12.06 12.08 11.99 12.1 12.04 12 11.93 12.07 11.85 12.01 11.98 (Data checksum: 167.83) 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 95% confidence:Lower: Upper: c) Report your confidence interval for σσ: ( , )Dylan has collected 20 quarters and wants to compare the age of each coin to the age of all coins in the US. Select all the reasons why a z-test should not be used. Choose all that apply: 1. The sample standard deviation cannot be calculated 2. The sample size is >10 3. We do not have the population standard deviation 4. The sample size is <30 5. The population is <500
- You have have sampled five production lines operating and you wish to estimate the sample standard deviation of the five lines. Given the data below, provide your estimate of the sample standard deviation to the first decimal point, that is, 0.9 instead of 1. Month Production Line 1 51 Line 2 145 Line 3 70 Line 4 119 Line 5 92You 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. 11.98 12.11 11.88 11.99 11.89 12.02 11.84 12.05 12.13 11.94 12.31 12 12.07 12.02 12.04 12.04 (Data checksum: 192.31) 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 90% confidence:Lower: Upper: c) Report your confidence interval for σσ: (? , ? )Consider a set of data in which the sample mean is 27 and the sample standard deviation is 6.2. Calculate the z-score given that x = 28.5. Round your answer to two decimal places. An
- Two estimates are available for the same population parameter. Estimate one has a standard deviation of 8.5 and estimate two has a standard deviation of 8.7. Estimate two is unbiased, whereas estimate one is biased. Which estimate would you choose and why?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 98% level of confidence. 11.98 11.99 11.96 12.09 11.79 11.96 11.87 12.1 12.16 12.03 12.04 12.11 12.12 12.15 11.95 12.23 11.95 12.12 (Data checksum: 216.6) 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 98% confidence:Lower: Upper: c) Report your confidence interval for σσ: ( , )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 17 containers. Estimate the population standard deviation at a 95% level of confidence. 11.94 11.99 11.97 11.95 11.85 12.1 12.07 12.16 12.13 12.1 12.01 12.1 11.95 12 11.93 11.96 12.1 (Data checksum: 204.31) 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. Round final answer to 4 decimal places. a) Find the sample standard deviation: b) Find the lower and upper x² critical values at 95% confidence: Lower: Upper: c) Report your confidence interval for o: (
