In a sample of n = 18 lichen specimens, the researchers found the mean and standard deviation of the amount of the radioactive element, cesium-137, that was present to be 0.009 and 0.006 microcurie permilliliter, respectively. Suppose the researchers want to increase the sample size in order to estimate the mean µ to within 0.001 microcurie per milliliter of its true value, using a 95% confidence interval. Completeparts a through c.a. What is the confidence level desired by the researchers?The confidence level is(...)

We have given that Sample size (n) = 18Sample mean (x̅) = 0.009Standard deviations (s) = 0.006

Answered: In a sample of n = 18 lichen specimens,…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The daily sleep duration among college students is normally distributed with a mean of 8.13 and standard deviation of 1.87. You want to use a sample size such that 95% of the averages fall within ±15±15 minutes (.25 of an hour) of the true mean of 8.13. Determine the smallest number of students you need to sample.
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.
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 blood platelet counts of a group of women have a bell-shaped distribution with a mean of 254.4 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 1 standard deviation of the mean, or between 194.2 and 314.6? b. What is the approximate percentage of women with platelet counts between 73.8 and 435.0? a. Approximately 68 % of women in this group have platelet counts within 1 standard deviation of the mean, or between 194.2 and 314.6. (Type an integer or a decimal. Do not round.) b. Approximately % of women in this group have platelet counts between 73.8 and 435.0. (Type an integer or a decimal. Do not round.)
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 body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.33°F and a standard deviation of 0.52°F. Using the empirical rule, find each approximate percentage below a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.77F and 99.89°F? b. What is the approximate percentage of healthy adults with body temperatures between 97.29°F and 99.37°F? a. Approximately% of healthy adults in this group have body temperatures within 3 standard deviations of the mean, or between 96.77°F and 99.89°F. (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.)
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The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 254.4 and a standard deviation of 61.1. (All units are 1000 cells/µL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 193.3 and 315.5? b. What is the approximate percentage of women with platelet counts between 71.1 and 437.7? a. Approximately % of women in this group have platelet counts within 1 standard deviation of the mean, or between 193.3 and 315.5. (Type an integer or a decimal. Do not round.)

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