Allen's hummingbird (Selasphorus sasr'n) has been studied by zoologist Bill Alther.'r Suppose a small group of 13 Allen's hummingbirds has been under study in Arizona. The average weight for these birds is x = 3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with o' = 0.26 gram. (a) Find an 80% condence interval for the average weights of Allen's hummingbirds in the study region. What is the margin of error? (Round your answers to two decimal places.) lower limit upper limit H margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) C] o- is known C] normal distribution of weights C] uniform distribution of weights C] o- is unknown C] n is large (c) Interpret your results in the context of this problem. 0 The probability that this interval contains the true average weight of Allen's hummingbirds is 0.20. 0 We are 20% condent that the true average weight of Allen's hummingbirds falls within this interval. 0 We are 80% condent that the true average weight of Allen's hummingbirds falls within this interval. 0 The probability that this interval contains the true average weight of Allen's hummingbirds is 0.80. (d) Find the sample size necessary for an 80% condence level with a maximal margin of error E = 0.16 for the mean weights of the hummingbirds. (Round up to the nearest whole number.) E hummingbirds Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther. Suppose a small group of 14 Allen's hummingbirds has been under study in Arizona. The average weight for these birds is x = 3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with o = 0.24 gram. When finding an 80% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) Z = (a) Find an 80% confidence interval for the average weights of Allen's hummingbirds in the study region. 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.) U . is unknown O normal distribution of weights O o is known uniform distribution of weights O n is large (c) Interpret your results in the context of this problem. The probability that this interval contains the true average weight of Allen's hummingbirds is 0.80. O We are 80% confident that the true average weight of Allen's hummingbirds falls within this interval. We are 20% confident that the true average weight of Allen's hummingbirds falls within this interval. O The probability that this interval contains the true average weight of Allen's hummingbirds is 0.20. (d) Which equation is used to find the sample size n for estimating u when o is known? On = 1 E On = (z.0) Z E On = V. On = =) Find the sample size necessary for an 80% confidence level with a maximal margin of error E = 0.07 for the mean weights of the hummingbirds. (Round up to the nearest whole number.) hummingbirdsAllen's hummingbird (Selasphoms sasin) has been studied by_zoologist Bill Althen'r Suppose a small group of 18 Allen's hummingbirds has been under study in Arizona. The average weight for these birds is x = 3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with a- = 0.40 gram. (a) Find an 80% condence interval for the average weights of Allen's hummingbirds in the study region. What is the margin of error? (Round your answers to two decimal places.) lower limit upper limit HHH margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) C] uniform distribution of weights D o' is unknown C] o' is known [:1 normal distribution of weights C] n is large (c) Interpret your results in the context of this problem. 0 The probability that this interval contains the true average weight of Allen's hummingbirds is 0.20. 0 We are 80% condent that the true average weight of Allen's hummingbirds falls within this interval. 0 We are 20% condent that the true average weight of Allen's hummingbirds falls within this interval. 0 The probability that this interval contains the true average weight of Allen's hummingbirds is 0.80. (d) Find the sample size necessary for an 80% confidence level with a maximal margin of error E = 0.14 for the mean weights of the hummingbirds. (Round up to the nearest whole number.) E hummingbirds 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 = 5.36 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with o' = 1.95 mg/dl. (a) Find a 95% condence 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 HHH margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) C] a is unknown C] a is known C] n is large C] normal distribution of uric acid C] uniform distribution of uric acid (c) Interpret your results in the context of this problem. 0 We are 95% condent that the true uric acid level For this patient falls within this interval. 0 We are 5% condent that the true uric acid level for this patient falls within this interval. 0 The probability that this interval contains the true average uric acid level for this patient is 0.05. O The probability that this interval contains the true average uric acid level for this patient is 0.95. (d) Find the sample size necessary for a 95% confidence level with maximal margin of error E = 1.10 for the mean concentration of uric acid in this patient's blood. (Round your answer up to the nearest whole number.) E blood tests 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 o = 7.90 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.) O . is known O n is large O the distribution of volumes is normal O . is unknown O the distribution of volumes is uniform (c) Interpret your results in the context of this problem. O We are 1% confident that the true average blood plasma volume in male firefighters falls within this interval. O We are 99% confident that the true average blood plasma volume in male firefighters falls within this interval. O The probability that this interval contains the true average blood plasma volume in male firefighters is 0.01. O The probability that this interval contains the true average blood plasma volume in male firefighters is 0.99. (d) Find the sample size necessary for a 99% confidence level with maximal margin of error E = 2.00 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.) male firefightersTotal 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 47 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 6 = 7.40 ml/kg for the distribution of blood plasma. When finding an 99% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) ZC (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.) On is large O the distribution of volumes is uniform O o is unknown O o is known O the distribution of volumes is normal (c) Interpret your results in the context of this problem. We are 99% confident that the true average blood plasma volume in male firefighters falls within this interval. O We are 1% confident that the true average blood plasma volume in male firefighters falls within this interval. O The probability that this interval contains the true average blood plasma volume in male firefighters is 0.01. The probability that this interval contains the true average blood plasma volume in male firefighters is 0.99. (d) Which equation is used to find the sample size n for estimating u when o is known? On = On = 20 2 On = V ZCE On = (2 CE) 2 Find the sample size necessary for a 99% confidence level with maximal margin of error E = 2.70 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.) male firefightersTotal 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 6 = 7.40 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.) O n is large O the distribution of volumes is normal O . is known O o is unknown O the distribution of volumes is uniform (c) Interpret your results in the context of this problem. O The probability that this interval contains the true average blood plasma volume in male firefighters is 0.99. O The probability that this interval contains the true average blood plasma volume in male firefighters is 0.01. O We are 1% confident that the true average blood plasma volume in male firefighters falls within this interval. We are 99% confident that the true average blood plasma volume in male firefighters falls within this interval. (d) Find the sample size necessary for a 99% confidence level with maximal margin of error E = 2.70 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.) male firefighters