PART C(c)Does the 90% confidence interval you constructed contradict the claim made in the article?Choose the best answer from the choices below. ___ No, the confidence interval does not contradict the claim. The mean of 6.99 m from the article is inside the 90% confidence interval. ____ No, the confidence interval does not contradict the claim. The mean of 6.99 m from the article is outside the 90% confidence interval. ___ Yes, the confidence interval contradicts the claim. The mean of 6.99 m from the article is inside the 90%confidence interval. ___ Yes, the confidence interval contradicts the claim. The mean of 6.99 m from the article is outside the 90%confidence interval. (b)Sample standard deviation:7Critical value:Compute0.0000.000Based on your sample, graph the 90% confidence interval for the population mean of all the lengths of fully grown male killer whales.• Enter the values for the lower and upper limits on the graph to show your confidence interval.• For the point (◆), enter the claim 6.99 from the article.2.000Margin of error:90% confidence interval:4.00090% confidence interval:5.0006.000Critical values0.005 3.2500.010 2.8210.025 2.2620.050 1.8330.100 1.3838.00010.00010.000 Suppose that the population of lengths of all fully grown male killer whales is approximately normally distributed. A recent article published in the Zoology Nowjournal claims that the mean of this population is 6.99 m. You want to test the claim made in the article, so you select a random sample of 10 fully grown malekiller whales and record the length of each.Follow the steps below to construct a 90% confidence interval for the population mean of all lengths of fully grown male killer whales. Then state whether theconfidence interval you construct contradicts the article's claim. (If necessary, consult a list of formulas.)(a) Click on "Take Sample" to see the results for your random sample.Take SampleSample size:Point estimate:ПNumber of killer whalesSample standard deviation:10Sample mean7.241Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for your 90%confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute".Standard error:Sample standardMargin of error:deviation1.436XŚCritical valuesto 005 3.250

Let X: the lengths of all fully grown male killer whales.

Answered: PART C (c)Does the 90% confidence…

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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PART C

(c)Does the 90% confidence interval you constructed contradict the claim made in the article?
Choose the best answer from the choices below.

___ No, the confidence interval does not contradict the claim. The mean of 6.99 m from the article is inside the 90%
confidence interval.

____ No, the confidence interval does not contradict the claim. The mean of 6.99 m from the article is outside the 90% confidence interval.

___ Yes, the confidence interval contradicts the claim. The mean of 6.99 m from the article is inside the 90%
confidence interval.

___ Yes, the confidence interval contradicts the claim. The mean of 6.99 m from the article is outside the 90%
confidence interval.

(b)
Sample standard deviation:
7
Critical value:
Compute
0.000
0.000
Based on your sample, graph the 90% confidence interval for the population mean of all the lengths of fully grown male killer whales.
• Enter the values for the lower and upper limits on the graph to show your confidence interval.
• For the point (◆), enter the claim 6.99 from the article.
2.000
Margin of error:
90% confidence interval:
4.000
90% confidence interval:
5.000
6.000
Critical values
0.005 3.250
0.010 2.821
0.025 2.262
0.050 1.833
0.100 1.383
8.000
10.000
10.000

Suppose that the population of lengths of all fully grown male killer whales is approximately normally distributed. A recent article published in the Zoology Now
journal claims that the mean of this population is 6.99 m. You want to test the claim made in the article, so you select a random sample of 10 fully grown male
killer whales and record the length of each.
Follow the steps below to construct a 90% confidence interval for the population mean of all lengths of fully grown male killer whales. Then state whether the
confidence interval you construct contradicts the article's claim. (If necessary, consult a list of formulas.)
(a) Click on "Take Sample" to see the results for your random sample.
Take Sample
Sample size:
Point estimate:
П
Number of killer whales
Sample standard deviation:
10
Sample mean
7.241
Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for your 90%
confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute".
Standard error:
Sample standard
Margin of error:
deviation
1.436
X
Ś
Critical values
to 005 3.250

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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