(a) Find P(T <1.328) when v = 19. (b) Find P(T>2.110) when v = 17. (c) Find P(-2.552 -1.356) when v = 12. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. (a) P(T <1.328) = 0.900 (Round to three decimal places as needed.) (b) P(T>2.110)=0.025 (Round to three decimal places as needed.) (c) P(-2.552 -1.356)=0.798 (Round to three decimal places as needed.)
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- Critical Values: z0.005 = 2.575, z0.01 = 2.325, z0.025 = 1.96, z0.05 = 1.645, z0.1 = 1.282When d.f.=31: t0.005 = 2.744, t0.01 = 2.453, t0.025 = 2.040, t0.05 = 1.696 t0.1 = 1.309 In a random sample of soldiers who fought in the Battle of Preston, 774 soldiers were fromthe New Model Army, and 226 were from the Royalist Army. Use a 0.05 significance level to test the claim that fewer than one quarter of the soldiers were RoyalistCritical Values: z0.005 = 2.575, z0.01 = 2.325, z0.025 = 1.96, z0.05 = 1.645, z0.1 = 1.282When d.f.=31: t0.005 = 2.744, t0.01 = 2.453, t0.025 = 2.040, t0.05 = 1.696 t0.1 = 1.309 1. In a random sample of soldiers who fought in the Battle of Preston, 774 soldiers were fromthe New Model Army, and 226 were from the Royalist Army. Use a 0.05 significance level to test theclaim that fewer than one quarter of the soldiers were Royalist.9. A simple random sample of size n is drawn. The sample mean, x, is found to be 18.3, and the sample standard deviation, s, is found to be 4.8. 15 Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about µ if the sample size, n, is 35. ; Upper bound: (Use ascending order. Round to two decimal places as needed.) Lower bound: (b) Construct a 95% confidence interval about µ if the sample size, n, is 61. Lower bound: Upper bound: (Use ascending order. Round to two decimal places as needed.) How does increasing the sample size affect the margin of error, E? O A. The margin of error decreases. O B. The margin of error does not change. C. The margin of error increases. (c) Construct a 99% confidence interval about u if the sample size, n, is 35. ; Upper bound: (Use ascending order. Round to two decimal places as needed.) Lower bound: Compare the results to those obtained in part (a). How does increasing the level of confidence affect…
- Total plasma volume by the overall health and physical activity of an individual. Suppose that a random sample of 40 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that o = 7.10 ml/kg for the distribution of blood plasma. is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced When finding an 99% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) z. = (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limit upper limit margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) n is large the distribution of volumes is normal o is unknown the distribution of volumes is…Critical Values: z0.05 = 1.645, z0.025 = 1.96, z0.01 = 2.325 When d.f.=35: t0.05 = 1.690, t0.025 = 2.030, t0.01 = 2.438, A sample of 36 female adult koalas has a mean weight of 20.5 pounds with a sample standarddeviation of 6.25 pounds. Use this to construct a confidence interval of confidence level 98% for the population mean weight for female adult koalas.Variable | Obs Mean Std. Dev. Min Маx earnings | e1000 | 41412.69 25527.05 1050 1.05 172000 41.41269 25.52705 172 regress e1000 education Source | SS df MS Number of obs F(1, 169) Prob > F 68.86 Model Residual 32068.6617 32068.6617 0.0000 169 465.730862 R-squared Adj R-squared Root MSE 0.2853 Total | 110777.177 170 651.630455 e1000 | Coef. Std. Err. P>|t| [95% Conf. Interval] 0.000 6.215653 5.021123 31.05591 education 8.30 3.826593 cons 8.887835 -3.49 0.001 -13.51044 Please fill in the boxes below with the missing Stata output values. If needed, please round your answers to 3 decimal places. Number of observations (integer) 78708.515 RSS (4 decimal places) R squared (4 decimal places) Std. Err. for slope
- ← A simple random sample of size n is drawn. The sample mean, x, is found to be 19.1, and the sample standard deviation, s, is found to be 48. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about μ if the sample size, n, is 35. Lower bound: 17 45; Upper bound: 20.75 (Use ascending order. Round to two decimal places as needed) (b) Construct a 95% confidence interval about µ if the sample size, n, is 51. Lower bound: 17.75, Upper bound: 20.45 (Use ascending order. Round to two decimal places as needed.) How does increasing the sample size affect the margin of error, E? OA: The margin of error decreases OB. The margin of error does not change OC. The margin of error increasesOverproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia, or lymphoma.† Over a period of months, an adult male patient has taken eleven blood tests for uric acid. The mean concentration was x = 5.38 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with σ = 1.81 mg/dl. (a)Find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. What is the margin of error? (Round your answers to two decimal places.) lower limit- upper limit- margin of error- (b)What conditions are necessary for your calculations? Find the sample size necessary for a 95% confidence level with maximal margin of error E = 1.12 for the mean concentration of uric acid in this patient's blood. (Round your answer up to the nearest whole number.) ________bloodtestOverproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia, or lymphoma.† Over a period of months, an adult male patient has taken fifteen blood tests for uric acid. The mean concentration was x = 5.33 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with σ = 1.93 mg/dl. (a) Find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. What is the margin of error? (Round your answers to two decimal places.) lower limitupper limitmargin of error (b) What conditions are necessary for your calculations? (Select all that apply.) n is largeσ is unknownnormal distribution of uric acidσ is knownuniform distribution of uric acid (c) Interpret your results in the context of this problem. We are 95% confident that the true uric acid level for this patient falls within this interval.The probability that this…
- Overproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia, or lymphoma.† Over a period of months, an adult male patient has taken six blood tests for uric acid. The mean concentration was x = 5.35 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with σ = 1.83 mg/dl. (a) Find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. What is the margin of error? (Round your answers to two decimal places.) lower limit= upper limit= margin of error= (d) Find the sample size necessary for a 95% confidence level with maximal margin of error E = 1.02 for the mean concentration of uric acid in this patient's blood. (Round your answer up to the nearest whole number.)Overproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia, or lymphoma.† Over a period of months, an adult male patient has taken seven blood tests for uric acid. The mean concentration was x = 5.25 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with σ = 1.77 mg/dl. (a) Find a 86% confidence interval for the population mean concentration of uric acid in this patient's blood. What is the margin of error? (Round your answers to two decimal places.) lower limitupper limitmargin of error (b) What conditions are necessary for your calculations? (Select all that apply.) σ is knownσ is unknownnormal distribution of uric aciduniform distribution of uric acidn is large (c) Interpret your results in the context of this problem. We are 86% confident that the true uric acid level for this patient falls within this interval.The probability that this…Overproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia, or lymphoma.† Over a period of months, an adult male patient has taken five blood tests for uric acid. The mean concentration was x = 5.31 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with σ = 1.75 mg/dl. Find the sample size necessary for a 95% confidence level with maximal margin of error E = 1.06 for the mean concentration of uric acid in this patient's blood. (Round your answer up to the nearest whole number.) blood tests