a) Find the sample standard deviation: b) Find the lower and upper χ2 critical values at 90% confidence: Lower: Upper: c) Report your confidence interval for σ: ( , )
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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
12.01 | 12.25 | 12.05 | 11.97 | 12.17 | 11.99 |
12.11 | 12.04 | 12.14 | 11.94 | 12.09 | 11.81 |
12.1 | 12.13 | 11.93 | 12.18 | 11.96 |
(Data checksum: 204.87)
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 90% confidence:
Lower: Upper:
c) Report your confidence interval for σ: ( , )
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- Use the magnitudes (Richter scale) of the 120 earthquakes listed in the accompanying data table. Use technology to find the range, variance, and standard deviation. If another value, 8.00, is added to those listed in the data set, do the measures of variation change much? 3.272.452.542.432.752.372.192.421.911.432.851.731.992.322.332.704.742.873.382.722.833.423.952.993.873.473.082.942.703.602.842.373.033.232.593.643.242.662.352.432.813.952.522.922.983.412.272.562.933.162.201.151.934.002.542.832.352.311.522.801.951.602.452.332.081.553.201.491.812.551.662.352.452.082.192.752.002.792.392.671.692.881.841.991.862.561.972.183.671.553.162.461.881.502.793.283.822.752.452.712.541.642.183.032.361.481.922.322.651.411.391.802.242.302.481.732.402.442.482.44You 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: (Consider a value to be significantly low if its z score less than or equal to −2 or consider a value to be significantly high if its z score is greater than or equal to 2. A test is used to assess readiness for college. In a recent year, the mean test score was 21.4 and the standard deviation was 5.4. Identify the test scores that are significantly low or significantly high. What test scores are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice. A. Test scores that are between ____ and _____. (Round to one decimal place as needed. Use ascending order.) B. Test scores that are less than _____. (Round to one decimal place as needed.) C. Test scores that are greater than _____. (Round to one decimal place as needed.)
- 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: ( , )You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 29 Model A washing machines is $211. Assume the population standard deviation is $15. The mean repair cost of 26 Model B washing machines is $216. Assume the population standard deviation is $25. At a = 0.01, can you reject the salesperson's claim? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). O A The mean repair cost for Model A is greater than Model B B. The mean repair costs for Model A and Model B are equal. O C. The mean repair cost for Model A is less than Model B O D. The mean repair costs for Model A and Model B are different. Let u, be the mean repair cost for Model A and let u, be the mean repair cost for Model B. What are Ho and H,? O B. Ho: H1 =H2 Hai H1 # H2 O E. Ho: H1 # H2 OC. Ho: H1 SH2 Hai H1>H2 OF. Ho: H1ZH2 Ha:…Consider a value to be significantly low if its z score less than or equal to −2 or consider a value to be significantly high if its z score is greater than or equal to 2. A test is used to assess readiness for college. In a recent year, the mean test score was 20.7 and the standard deviation was 4.7. Identify the test scores that are significantly low or significantly high. What test scores are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice. A. Test scores that are between nothing and nothing. (Round to one decimal place as needed. Use ascending order.) B. Test scores that are greater than nothing. (Round to one decimal place as needed.) C. Test scores that are less than nothing. (Round to one decimal place as needed.) What test scores are significantly high? Select the correct answer below and fill in the answer box(es) to complete your choice. A. TEST SCORES THAT ARE GREATER…
- 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. 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: (? , ? )This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.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 are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 30 night students, and the sample mean GPA is 2.83 with a standard deviation of 0.94. You sample 55 day students, and the sample mean GPA is 2.97 with a standard deviation of 0.92. Test the claim using a 1% level of significance. Assume the population standard deviations are unequal and that GPAs are normally distributed. Give answer to at least 4 decimal places. What are the correct hypotheses?H0: Select an answer μ σ² μ₂ p μ₁ x̄₂ s² x̄₁ = Select an answer μ x̄₂ σ² μ₂ x̄₁ μ₁ s² p H1: Select an answer σ² μ x̄₁ s² p x̄₂ μ₁ μ₂ ? = < > ≤ ≠ ≥ Select an answer μ x̄₂ x̄₁ μ₂ σ² s² μ₁ p Based on the hypotheses, find the following:Test Statistic = Critical Values = ±± (Just enter the positive CV.)The correct decision is to Select an answer Reject the null hypothesis Fail to reject the null hypothesis The correct summary would be: Select an answer There is not enough…Consider a value to be significantly low if its z score less than or equal to -2 or consider a value to be significantly high if its z score is greater than or equal to 2. A test is used to assess readiness for college. In a recent year, the mean test score was 20.2 and the standard deviation was 4.9. Identify the test scores that are significantly low or significantly high. What test scores are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice. (Round to one decimal place as needed.) OA. Test scores that are greater than OB. Test scores that are between OC. Test scores that are less than and (Round to one decimal place as needed. Use ascending order.) (Round to one decimal place as needed.) Select the correct answer below and fill in the answer box(es) to complete your choice. What test scores are significantly high? OA. Test scores that are less than OB. Test scores that are greater than OC. Test scores that are between and…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: (