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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 5 - Problem 3se
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 5 - Problem 3se

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# The article "Genetically Based Tolerance to Endosulfan,

ISBN: 9780073401331 38

## Solution for problem 3SE Chapter 5

Statistics for Engineers and Scientists | 4th Edition

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Problem 3SE

Problem 3SE

The article "Genetically Based Tolerance to Endosulfan, Chromium (VI) and Fluoranthene in the Grass Shrimp Palaemonetes pugio" (R. Harper- Arabie, Ph.D. Thesis, Colorado School of Mines, 2002) reported that out of 1985 eggs produced by shrimp at the Diesel Creek site in Charleston, South Carolina, 1919 hatched, and at the Shipyard Creed site, also in Charleston, 4561 out of 4988 eggs hatched. Find a 99% confidence interval for the difference between the proportions of eggs that hatch at the two sites.

Step-by-Step Solution:

Solution :

Step 1 of 1:

The number of success in the diesel creek site is X.

Then the number of success in the shipyard credit site is Y.

We know that the number of success in the diesel creek site is 1919 and

The number of success in the shipyard credit site is 4561.

Let denotes the number of trials.

Here =1985 and

Let denotes the number of trials.

Here =4988.

Our goal is:

We need to calculate a 95% confidence interval for the difference between proportion of eggs that hatch at the two sites.

Now we have to find a 95% confidence interval for the difference between proportion of eggs that hatch at the two sites.

Now we are finding and .

The formula of the  is

=

We know that X and values.

=

=

=0.966281

Therefore is 0.966281.

Then the  formula of the  is

=

We know that Y and values.

=

=

=0.914228

Therefore is 0.914228.

The 95% of confidence interval of  is

2.58.

Then the formula of the confidence interval is

=(-)

={(0.966281-0.914228)

=(0.05205)

=(0.05205)

=(0.05205)

=(0.05205)

=(0.05205)

=(0.05205+0.0145,0.05205-0.0145)

=(0.0665,0.0375)

Therefore, the confidence interval is 0.0665 and 0.0375.

Step 2 of 1

##### ISBN: 9780073401331

The answer to “The article "Genetically Based Tolerance to Endosulfan, Chromium (VI) and Fluoranthene in the Grass Shrimp Palaemonetes pugio" (R. Harper- Arabie, Ph.D. Thesis, Colorado School of Mines, 2002) reported that out of 1985 eggs produced by shrimp at the Diesel Creek site in Charleston, South Carolina, 1919 hatched, and at the Shipyard Creed site, also in Charleston, 4561 out of 4988 eggs hatched. Find a 99% confidence interval for the difference between the proportions of eggs that hatch at the two sites.” is broken down into a number of easy to follow steps, and 81 words. This full solution covers the following key subjects: eggs, shrimp, site, hatched, charleston. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. Since the solution to 3SE from 5 chapter was answered, more than 421 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 3SE from chapter: 5 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4.

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