a) Using integrals, directly calculate the variance of the Weibull distribution with shape α and scale µ. b) Using integrals, directly calculate the CDF of the Weibull distribution with shape α and scale µ.
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a) Using
b) Using integrals, directly calculate the CDF of the Weibull distribution with shape α and scale µ.
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- i)Fix the standard deviation of variance at sigma(0)=1.Sketch the graphs for N(-2,1) „N(0.1) ,N(2,1). ii)Fix the mean at =O.Then sketch the graphs for N(0,1) N(0,2), N(0,3).Interpret the graphs in terms of the distribution of the data about the mean.Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the o health and physical activity of an individual. Suppose that a random sample of 46 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 = 7.80 ml/kg for the distribution of blood plasma. %3D (a) Find a 99% confidence interval for the population mean blood plasma volumne 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.) the distribution of volumes is normal the distribution of volumes is uniform o is unknown n is large o is known (c) Interpret your results in the context of this problem. O The probability that this interval contains the true average…Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 50 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 ? = 7.00 ml/kg for the distribution of blood plasma. (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.) the distribution of volumes is uniformt he distribution of volumes is normal ? is known n is large ? is unknown (c) Interpret your results in the context of this problem. We are 99% confident that the true average…
- The relationship between body mass index (BMI) and systolic blood pressure in males 50 years of age is investigated. A random sample of n = 13 males is selected and their BMI and systolic blood pressures are measured. Let X be the body mass index (BMI) and Y the systolic blood pressure of males, 50 years of age. Given: The average and variance of the BMI is X = 26 and Var(X) = 15.026. The average and variance of the systolic blood pressure is Y = 126 and Var(Y) = 423. The covariance between X and Y is Cov(X,Y) = 69.87. For the estimated regression equation Y = Bo + B, X, it was found that B1 = 4.65.otal plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 46 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 ? = 7.50 ml/kg for the distribution of blood plasma. (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.) A-the distribution of volumes is uniform B-? is known C-the distribution of volumes is normal D-? is unknown E-n is large d)Find the sample size necessary for a 99% confidence level with maximal margin of error E =…Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 46 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 ? = 7.80 ml/kg for the distribution of blood plasma. (d) Find the sample size necessary for a 99% confidence level with maximal margin of error E = 2.90 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.) ________ male firefighters
- Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced 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 ? = 7.30 ml/kg for the distribution of blood plasma. (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.) ? is unknown n is large the distribution of volumes is uniform the distribution of volumes is normal ? is known (d) Find the sample size necessary for a 99% confidence level with maximal…Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 50 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 ? = 7.00 ml/kg for the distribution of blood plasma. (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 ? is unknown the distribution of volumes is normal the distribution of volumes is uniform ? is known (d) Find the sample size necessary for a 99% confidence level with maximal margin of error E…Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 43 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 ? = 8.00 ml/kg for the distribution of blood plasma. (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.) A-? is known B-the distribution of volumes is uniform C-? is unknown D-n is large E-the distribution of volumes is normal (d) Find the sample size necessary for a 99% confidence level with maximal…
- Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 48 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 ? = 7.00 ml/kg for the distribution of blood plasma. (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.) the distribution of volumes is normal the distribution of volumes is uniform ? is known ? is unknown n is large (d) Find the sample size necessary for a 99% confidence level with maximal…Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 42 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 ? = 8.00 ml/kg for the distribution of blood plasma. (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 limitupper limitmargin of error (b) What conditions are necessary for your calculations? (Select all that apply.) the distribution of volumes is uniform? is knownn is largethe distribution of volumes is normal? is unknown (c) Interpret your results in the context of this problem. We are 99% confident that the true average blood…Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 46 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 ? = 7.00 ml/kg for the distribution of blood plasma. (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?