Here are measurements (in millimeters) of a critical dimension on an SRS of 8 of the more than 200 auto engine crankshafts produced in one day that are known to be normally distributed: 234.12 233.91 234.21 233.96 234.07 233.98 234.09 234.15 Interpret the 95% confidence interval calculated in the previous problem for the mean measurements of the critical dimension measured.
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Q: The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 263.9…
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Q: The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 263.1…
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- The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 260.2 and a standard deviation of 60.5. (All units are 1000 cells/uL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 78.7 and 441.7? b. What is the approximate percentage of women with platelet counts between 199.7 and 320.7? a. Approximately % of women in this group have platelet counts within 3 standard deviations of the mean, or between 78.7 and 441.7. (Type an integer or a decimal. Do not round.) b. Approximately % of women in this group have platelet counts between 199.7 and 320.7. (Type an integer or a decimal. Do not round.)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 0.01 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. O A. Ho: H1 SH2 O B. Ho: H1 #H2 O D. Ho: H1 =P2 H: 1> H2 O C. Ho: H1 =P2 The test statistic is. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. O A. Fail to…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. City_#1 City_#2108 11786 53121 100116 85101 83104 107213 110113 111290 142100 133266 101145 209 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? The test statistic is? The P-value is? State the conclusion for the test?
- The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 245.6 and a standard deviation of 64.4. (All units are 1000 cells/uL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 52.4 and 438.8? b. What is the approximate percentage of women with platelet counts between 181.2 and 310.0? a. Approximately % of women in this group have platelet counts within 3 standard deviations of the mean, or between 52.4 and 438.8. (Type an integer or a decimal. Do not round.) b. Approximately % of women in this group have platelet counts between 181.2 and 310.0. (Type an integer or a decimal. Do not round.)Suppose the diameter of holes for a cable harness is known to have a mean of 1.4 inches. A random sample of size 12 yields an average diameter of 1.6525 inches and standard deviation of 0.16 inch. Given that the data set is normally distributed, does this mean that this group of cable harnesses is significantly smaller? Test at α = 0.05.The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 251.5 and a standard deviation of 69.1. (All units are 1000 cells/uL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 44.2 and 458.8? b. What is the approximate percentage of women with platelet counts between 113.3 and 389.7? a. Approximately% of women in this group have platelet counts within 3 standard deviations of the mean, or between 44.2 and 458.8. (Type an integer or a decimal. Do not round.) b. Approximately % of women in this group have platelet counts between 113.3 and 389.7. (Type an integer or a decimal. Do not round.)
- The weight of 10 boxes of a certain brand of cereal have a mean content of 278 grams with a standard deviation of 9.64 grams. If these boxes were purchased at 10 different stores and the average price per box is 1.29 with a standard deviation of 0.09, can you conclude that the weights are relatively more homogeneous than the price?The body temperatures of a group of healthy adults have abell-shaped distribution with a mean of 98.36°F and a standard deviation of 0.58°F. Using the empirical rule, find each approximate percentage below. What is the approximate percentage of healthy adults with body temperatures within 2 standard deviations of the mean, or between 97.20°F and 99.52°F? What is the approximate percentage of healthy adults with body temperatures between 96.62°F and 100.10°F?The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 250.6 and a standard deviation of 62.8. (All units are 1000 cells/uL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 125.0 and 376.2? b. What is the approximate percentage of women with platelet counts between 62.2 and 439.0? a. Approximately % of women in this group have platelet counts within 2 standard deviations of the mean, or between 125.0 and 376.2. (Type an integer or a decimal. Do not round.) b. Approximately % of women in this group have platelet counts between 62.2 and 439.0. (Type an integer or a decimal. Do not round.)
- The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 260.4 and a standard deviation of 60.2. (All units are 1000 cells/uL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 79.8 and 441.0? b. What is the approximate percentage of women with platelet counts between 140.0 and 380.8? ..I. a. Approximately % of women in this group have platelet counts within 3 standard deviations of the mean, or between 79.8 and 441.0. (Type an integer or a decimal. Do not round.)The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 255.1 and a standard deviation of 62.2. (All units are 1000 cells/uL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 68.5 and 441.7? b. What is the approximate percentage of women with platelet counts between 192.9 and 317.3? a. Approximately % of women in this group have platelet counts within 3 standard deviations of the mean, or between 68.5 and 441.7. (Type an integer or a decimal. Do not round.)Suppose there are two different vaccines for Covid, Vaccine X and Vaccine Y. An interesting question is which vaccine has a higher 6-month antibody effectiveness quotient (6AEQ). To examine this we randomly select 78 recipients of vaccine X and 93 recipients on vaccine Y. The vaccine X recipients had a mean 6AEQ of x = 151. The vaccine Y recipients had a mean 6AEQ of y = 148. It is recognized that the true standard deviation of 6AEQ for vaccine X recipients is 0x = 8.7 while it is recognized that the true standard deviation of 6AEQ for vaccine Y recipients is dy = 11.5. The true (unknown) mean 6AEQ for vaccine X recipients is μx, while the true (unknown) mean 6AEQ for vaccine Y recipients is y. 6AEQ measurements are known to be a normally distributed. In summary: Type Sample Size Sample Mean Standard Deviation Vaccine X 78 Vaccine Y 93 151 148 8.7 11.5 a) Calculate the variance of the random variable X which is the mean of the 6AEQ measurements of the 78 vaccine X recipients.…