1. A single scalar ß is measured by m different people. Assuming un- correlated measurement errors of equal variance, show that the minimum-variance unbiased estimate of ß is equal to the average of the m measurement values.
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- Listed in the data table are amounts of strontium-90 (in millibecquerels, or mBq, per gram of calcium) in a simple random sample of baby teeth obtained from residents in two cities. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use a 0.05 significance level to test the claim that the mean amount of strontium-90 from city #1 residents is greater than the mean amount from city #2 residents. Click the icon to view the data table of strontium-90 amounts. What are the null and alternative hypotheses? Assume that population 1 consists of amounts from city #1 levels and population 2 consists of amounts from city #2. OA. Ho: H₁ H₂ H₁: H₁ H₂ о с. Но: 141=12 H₁: H₁ H₂ More Info City #1 108 86 121 112 101 104 213 149 290 100 290 145 Print City #2 117 83 100 85 81 107 110 111 149 133 101 209 Done OB. Ho: H₁ H₂ H₁: H₁ H₂ OD. Ho: ₁₂ H₁: H₁ H₂ 63 - XTrue or falseA researcher compares two compounds (1 and 2) used in the manufacture of car tires that are designed to reduce braking distances for SUVS equipped with the tires. SUVS equipped with tires using compound 1 have a mean braking distance of 43 feet and a standard deviation of 6.6 feet. SUVS equipped with tires using compound 2 have a mean braking distance of 50 feet and a standard deviation of 11.8 feet. Suppose that a sample of 61 braking tests are performed for each compound. Using these results, test the claim that the braking distance for SUVS equipped with tires using compound 1 is shorter than the braking distance when compound 2 is used. Let ui be the true mean braking distance corresponding to compound 1 and uz be the true mean braking distance corresponding to compound 2. Use the 0.01 level of significance. Step 3 of 4: Determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion of your answer to two decimal places. E Keypad Keyboard Shortcuts…
- Suppose the lengths of loaves of rye bread produced at a bakery are normally distributed with a mean length of 25 centimeters and a standard deviation of 4 centimeters. Find a 90th percentile for the loaf lengths. That is, find a value c so that there is a 90% chance that a randomly selected loaf has a length less than c and there is a 10% chance that a randomly selected loaf has a length greater than c.Listed in the accompanying table are weights (kg) of randomly selected U.S. Army male personnel measured in 1988 (from "ANSUR I 1988") and different weights (kg) of randomly selected U.S. Army male personnel measured in 2012 (from "ANSUR II 2012"). Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) and (b). Click the icon to view the ANSUR data. a. Use a 0.05 significance level to test the claim that the mean weight of the 1988 population is less than the mean weight of the 2012 population. What are the null and alternative hypotheses? Assume that population 1 consists of the 1988 weights and population 2 consists of the 2012 weights. OA. Ho: H1 H2 B. Ho: H1 H2 H₁: H1 H2 D. Ho: H₁₂ H₁₁₂ H₁: H₁₂ The test statistic is -2.60. (Round to two decimal places as needed.). The P-value is 0.008. (Round to three decimal places as needed.) State the…Listed in the accompanying table are weights (kg) of randomly selected U.S. Army male personnel measured in 1988 (from "ANSUR I 1988") and different weights (kg) of randomly selected U.S. Army male personnel measured in 2012 (from "ANSUR II 2012"). Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) and (b). Click the icon to view the ANSUR data. a. Use a 0.05 significance level to test the claim that the mean weight of the 1988 population is less than the mean weight of the 2012 population. What are the null and alternative hypotheses? Assume that population 1 consists of the 1988 weights and population 2 consists of the 2012 weights. A. Ho: H1 H2 H₁₁ H₂ C. Ho H₁ =H2 H₁: H1 H2 OB. Ho: H1 H2 H₁₁₂ OD. Ho: H1 H2 ANSUR data The test statistic is . (Round to two decimal places as needed.) ANSUR II 2012 ANSUR I 1988 80.9 85.6 83.5 73.9 103.7 78.6…
- Listed in the data table are amounts of strontium-90 (in millibecquerels, or mBq, per gram of calcium) in a simple random sample of baby teeth obtained from residents in two cities. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use a 0.05 significance level to test the claim that the mean amount of strontium-90 from city #1 residents is greater than the mean amount from city #2 residents. Click the icon to view the data table of strontium-90 amounts. a. The test statistic is (Round to two decimal places as needed.) b. The P-value is (Round to three decimal places as needed.)Listed in the data table are amounts of strontium-90 (in millibecquerels, or mBq, per gram of calcium) in a simple random sample of baby teeth obtained from residents in two cities. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use a 0.05 significance level to test the claim that the mean amount of strontium-90 from city #1 residents is greater than the mean amount from city #2 residents. Click the icon to view the data table of strontium-90 amounts. What are the null and alternative hypotheses? Assume that population 1 consists of amounts from city #1 levels and population 2 consists of amounts from city #2. OA. Ho: H₁ H₂ H₁: Hy > H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ More Info City #1 106 86 121 118 101 20 104 213 130 290 100 277 145 Print City #2 117 63 100 85 87 107 110 111 143 133 101 209 Done ~ X OB. Ho: ₁₂ H₁: Hy > H₂ OD. Ho Hi#H H₁: H₁ H₂Suppose that a researcher is interested in estimating the mean systolic blood pressure, u, of executives of major corporations. He plans to use the blood pressures of a random sample of executives of major corporations to estimate u. Assuming that the standard deviation of the population of systolic blood pressures of executives of major corporations is 27 mm Hg, what is the minimum sample size needed for the researcher to be 95% confident that his estimate is within 5 mm Hg of u? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.) Aa,
- A scientist studying babies born prematurely would like to obtain a n estimate for the mean birth weight.Two types of plastic are suitable for use by an electronics component manufacturer. The breaking strength of this plastic is important. It is known that the population standard deviation of breaking strength for the two types of plastic are equal and known to be 1.0 psi. A random sample of 10 type 1 plastic produced a mean breaking strength of 162.7 psi while a random sample of 12 type 2 plastic produced a mean breaking strength of155.4 psi. The company will not adopt plastic type 1 unless its mean breaking strength exceeds that of plastic type 2 by at least 10 psi. Based on the sample data obtained, should the company adopt plastic type 1? Perform a hypothesis test at the 5% level of significance.8. 140 migrating pigeons were caught by a biologist for data collection. The mass of these pigeons is normally distributed with mean 0.9 kg and standard deviation of deviation 0.15 kg. a) Determine the percentile rank of a pigeon weighing 1kg. b) What proportions of pigeons have weight greater than 1.1 kg or less than 0.7 Kg 31
