You work for the U.S. Food and Drug Administration. You have gotten word that a drug manufacturing is not accurately reporting the contents of their liquid cold medication. Under Federal Regulations, "Variations from stated quantity of contents shall not be unreasonably large" (see section q of the regulation by clicking here). The company that produces the cold medication is claiming that each bottle contains 355 milliliters of cold medication, which is about 12 fluid ounces. In order to determine if they are accurate in their reporting, you decide to randomly select 20 different bottles of cold medication and measure the amount of cold medication in each bottle (in milliliters). The results of each sample are shown below. Bottle Number 1 2 3 4 5 6 7 8 9 10 Milliliters 357 353 342 351 359 343 346 342 353 340 Bottle Number 11 12 13 14 15 16 17 18 19 20 Milliliters 359 350 351 350 356 351 342 344 360 352 a) Use the data shown above to construct a 96% confidence interval estimate for the mean amount of cold medication the company is putting in their bottles. Record the result below in the form of (#,#)(#,#). Round your final answer to two decimal places. b) Is the company putting the claimed 355 milliliters of cold medication in their bottles? Explain. Yes, because 355 is inside of the confidence interval. Yes, because 355 is not inside the confidence interval. No, because 355 is inside the confidence interval. No, because 355 is not inside the confidence interval.

Name: You work for the U.S. Food and Drug Administration. You have gotten wo
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Description: You work for the U.S. Food and Drug Administration. You have gotten word that a drug manufacturing is not accurately reporting the contents of their liquid cold medication. Under Federal Regulations, "Variations from stated quantity of contents shall

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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You work for the U.S. Food and Drug Administration. You have gotten word that a drug manufacturing is not accurately reporting the contents of their liquid cold medication. Under Federal Regulations, "Variations from stated quantity of contents shall not be unreasonably large" (see section q of the regulation by clicking here).

The company that produces the cold medication is claiming that each bottle contains 355 milliliters of cold medication, which is about 12 fluid ounces. In order to determine if they are accurate in their reporting, you decide to randomly select 20 different bottles of cold medication and measure the amount of cold medication in each bottle (in milliliters). The results of each sample are shown below.

Bottle Number	1	2	3	4	5	6	7	8	9	10
Milliliters	357	353	342	351	359	343	346	342	353	340

Bottle Number	11	12	13	14	15	16	17	18	19	20
Milliliters	359	350	351	350	356	351	342	344	360	352

a) Use the data shown above to construct a 96% confidence interval estimate for the mean amount of cold medication the company is putting in their bottles. Record the result below in the form of (#,#)(#,#). Round your final answer to two decimal places.

b) Is the company putting the claimed 355 milliliters of cold medication in their bottles? Explain.

Yes, because 355 is inside of the confidence interval.
Yes, because 355 is not inside the confidence interval.
No, because 355 is inside the confidence interval.
No, because 355 is not inside the confidence interval.

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 + ...

Expert Solution

Step 1

Given data,

Bottle number	amount
1	357
2	353
3	342
4	351
5	359
6	343
7	346
8	342
9	353
10	340
11	359
12	350
13	351
14	350
15	356
16	351
17	342
18	344
19	360
20	352

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