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: 7,241 number of killer whales Sample standard deviation: 100 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 the 90%. (Choose the correct critical value from the critical value table provided). When finished, click on "Calculate". 7,241 Standard error: 0.454 Error range: 0.033 sample standard deviation 1,436 Ś critical values Nts=3,250

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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PART 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%
.

 

(b)
Sample standard deviation:
1,436
critical value:
1,833
Calculate
0.000
2.000
Error range:
0.832
Based on the sample, plot the confidence interval of the 90%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.
Confidence interval of90%:
7,241+0.832
4.000
90% confidence interval:
6.409
6.000
7.241
8.073
critical values
Y0045 3,250
10040=2,821
10045 2,262
10.00 1,833
YO160 1,383
8.000
10.000
Transcribed Image Text:(b) Sample standard deviation: 1,436 critical value: 1,833 Calculate 0.000 2.000 Error range: 0.832 Based on the sample, plot the confidence interval of the 90%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. Confidence interval of90%: 7,241+0.832 4.000 90% confidence interval: 6.409 6.000 7.241 8.073 critical values Y0045 3,250 10040=2,821 10045 2,262 10.00 1,833 YO160 1,383 8.000 10.000
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:
7,241
number of killer whales
Sample standard deviation:
1 106
10
sample mean
7,241
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 the 90%. (Choose the correct critical value from the critical value table provided). When finished, click on "Calculate".
Standard error:
0.454
Error range:
sample standard
deviation
1,436
X
Ś
critical values
1045-3,250
Transcribed Image Text: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: 7,241 number of killer whales Sample standard deviation: 1 106 10 sample mean 7,241 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 the 90%. (Choose the correct critical value from the critical value table provided). When finished, click on "Calculate". Standard error: 0.454 Error range: sample standard deviation 1,436 X Ś critical values 1045-3,250
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