please answer: iv, v, viiv: sample variance sample mean sample proportion 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 15 capsules was taken and the weights are provided below:100.599.6100.710099.8100.3101100.498.799.998.899.299.798.699.2The mean of the data set is 99.8; the sample standard deviation is 0.75; if the normality plot is notprovided you may assume that the capsule weights are normally distributed.Construct a 90% confidence interval for the variance (standard deviation) of all capsule weight.i. Procedure: Select an answerii. Assumptions: (select everything that applies)O Sample size is greater than 30O Population standard deviation is unknownO Simple random sampleO Population standard deviation is knownO Normal populationO The number of positive and negative responses are both greater than 10iii. Unknown parameter: Select an answer iv. Point estimate: (Select an answer(Round the answer to 3 decimal places)v. Confidence level% and a =alsoaand 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)vii. Lower bound:(Round the answer to 3 decimal places)viii. Upper bound:(Round the answer to 3 decimal places)ix. Confidence interval:(x. Interpretation: We are% confident that the true population variance is betweenandBased on the confidence interval, is it reasonable to believe that the population variance is greater than1.44? Explain.Cal

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Description: please answer: iv, v, viiv: sample variance sample mean sample proportion 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 med

Solution to parts iv. , v and vi are given below. Sample size: n=15

Answered: iv. Point estimate: Select an answer…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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please answer: iv, v, vi

iv:

sample variance

sample mean

sample proportion

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 15 capsules was taken and the weights are provided below:
100.5
99.6
100.7
100
99.8
100.3
101
100.4
98.7
99.9
98.8
99.2
99.7
98.6
99.2
The mean of the data set is 99.8; the sample standard deviation is 0.75; if the normality plot is not
provided you may assume that the capsule weights are normally distributed.
Construct a 90% confidence interval for the variance (standard deviation) of all capsule weight.
i. Procedure: Select an answer
ii. Assumptions: (select everything that applies)
O Sample size is greater than 30
O Population standard deviation is unknown
O Simple random sample
O Population standard deviation is known
O Normal population
O The number of positive and negative responses are both greater than 10
iii. Unknown parameter: Select an answer

iv. Point estimate: (Select an answer
(Round the answer to 3 decimal places)
v. Confidence level
% and a =
also
a
and 1
2
o Critical values: (Round the answer to 3 decimal places)
• left-
right=
vi. Margin of error (if applicable):
(Round the answer to 3 decimal places)
vii. Lower bound:
(Round the answer to 3 decimal places)
viii. Upper bound:
(Round the answer to 3 decimal places)
ix. Confidence interval:(
x. Interpretation: We are
% confident that the true population variance is between
and
Based on the confidence interval, is it reasonable to believe that the population variance is greater than
1.44? Explain.
Cal

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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