Point estimate: sample mean or sample proportion or sample variance iv. Point estimate: Select an answer(Round the answer to 3 decimal places)v. Confidence level% and a =alsoand 12o Critical values: (Round the answer to 3 decimal places)· left=right=vi. Margin of error (if applicable):(Round the answer to 3 decimal places) For a certain drug, based on standards set by the United States Pharmacopeia (USP) - an official publicstandards-setting authority for all prescription and over-the-counter medicines and other health careproducts manufactured or sold in the United States, a standard deviation of capsule weights of less than 2mg is acceptable. A sample of 12 capsules was taken and the weights are provided below:98.8100.7100.3101100.398.4101.598.898.6100.299.6100The mean of the data set is 99.9; the sample standard deviation is 1.01; if the normality plot is notprovided you may assume that the capsule weights are normally distributed.Construct a 95% confidence interval for the variance (standard deviation) of all capsule weight.

Name: Point estimate: sample mean or sample proportion or sample variance iv
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Description: Point estimate: sample mean or sample proportion or sample variance iv. Point estimate: Select an answer(Round the answer to 3 decimal places)v. Confidence level% and a =alsoand 12o Critical values: (Round the answer to 3 decimal places)· left=right=

Given: x¯= 99.9 The point estimate is sample variance, s = 1.01 n = 125 Confidence level = 95% and ∝…

Answered: For a certain drug, based on standards…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Point estimate:

sample mean or sample proportion or sample variance

For a certain drug, based on standards set by the United States Pharmacopeia (USP) - an official public
standards-setting authority for all prescription and over-the-counter medicines and other health care
products manufactured or sold in the United States, a standard deviation of capsule weights of less than 2
mg is acceptable. A sample of 12 capsules was taken and the weights are provided below:
98.8
100.7
100.3
101
100.3
98.4
101.5
98.8
98.6
100.2
99.6
100
The mean of the data set is 99.9; the sample standard deviation is 1.01; if the normality plot is not
provided you may assume that the capsule weights are normally distributed.
Construct a 95% confidence interval for the variance (standard deviation) of all capsule weight.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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