ANSWER PART A, B, AND CPART C(c)The confidence interval of the 90% What built contradicts the statement stated in the article?Choose the best answer from the following options: ___ No, the confidence interval does not contradict the statement. the mean of 6.99 m of the article is within the confidence interval of the 90%. ___ No, the confidence interval does not contradict the statement. the mean of 6.99 m of the article is outside the confidence interval of the 90%. ___ Yes, the confidence interval contradicts the statement. the mean of 6.99 m of the article is within the confidence interval of the 90%. ___ Yes, the confidence interval contradicts the statement. the mean of 6.99 m of the article is outside the confidence interval of the 90%. Assume that the population lengths of adult male killer whales follow approximately a normal distribution. A recent article published in the journal Zoology Nowstates that the mean of this population is6.99 m. You want to test the claim in the article, so you select a random sample of 10adult male killer whales and recordthe lengths of each.Follow these steps to construct a confidence interval for the90%for the population mean of all lengths of adult male killer whales. Then, indicate whether theconfidence interval that you construct contradicts the article's statement. (If necessary, you can refer to a list of formulas .)(to) Click "Take Sample" to see the results of your random sample.Take a sampleSample size:10Point estimate:0number of killer whalesSample standard deviation:10sample meanEnter the values for the sample size, point estimate of the mean, sample standard deviation, and critical value that you need to construct theconfidence interval for the90%. (Choose the correct critical value from the critical value table provided). When finished, click on "Calculate".Standard error:7,241Error range:sample standarddeviation1,436XScritical values1005 3,250 (b)Sample standard deviation:0critical value:0Calculate●0.000Based on the sample, plot the confidence interval of the90%for the population mean of all lengths of adult male killer whales.Enter the upper bound and lower bound values on the graph to display the confidence interval.Under the dot (◆), enter the statementfrom the article.0.0002.000Error range:Confidence interval of 90%:4.00090% confidence interval:5.0006.00010.065 3,250Yo040=2,8210045 2,262YO30=1,833Yo160=1,3838.00010.00010.000

The claimed population length of adult male killer whales is 6.99 m.The no. of killer whales is…

Answered: Assume that the population lengths of…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 5CR

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Question

ANSWER PART A, B, AND C

PART C

(c)The confidence interval of the 90% What built contradicts the statement stated in the article?
Choose the best answer from the following options:

___ No, the confidence interval does not contradict the statement. the mean of 6.99 m of the article is within the confidence interval of the 90%.

___ No, the confidence interval does not contradict the statement. the mean of 6.99 m of the article is outside the confidence interval of the 90%.

___ Yes, the confidence interval contradicts the statement. the mean of 6.99 m of the article is within the confidence interval of the 90%.

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

Assume that the population lengths of adult male killer whales follow approximately a normal distribution. A recent article published in the journal Zoology Now
states that the mean of this population is6.99 m. You want to test the claim in the article, so you select a random sample of 10adult male killer whales and record
the lengths of each.
Follow these steps to construct a confidence interval for the90%for the population mean of all lengths of adult male killer whales. Then, indicate whether the
confidence interval that you construct contradicts the article's statement. (If necessary, you can refer to a list of formulas .)
(to) Click "Take Sample" to see the results of your random sample.
Take a sample
Sample size:
10
Point estimate:
0
number of killer whales
Sample standard deviation:
10
sample mean
Enter the values for the sample size, point estimate of the mean, sample standard deviation, and critical value that you need to construct the
confidence interval for the90%. (Choose the correct critical value from the critical value table provided). When finished, click on "Calculate".
Standard error:
7,241
Error range:
sample standard
deviation
1,436
X
S
critical values
1005 3,250

(b)
Sample standard deviation:
0
critical value:
0
Calculate
●
0.000
Based on the sample, plot the confidence interval of the90%for the population mean of all lengths of adult male killer whales.
Enter the upper bound and lower bound values on the graph to display the confidence interval.
Under the dot (◆), enter the statementfrom the article.
0.000
2.000
Error range:
Confidence interval of 90%:
4.000
90% confidence interval:
5.000
6.000
10.065 3,250
Yo040=2,821
0045 2,262
YO30=1,833
Yo160=1,383
8.000
10.000
10.000

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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