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 number of killer whales Sample size: 10 10 sample mean 7,241 sample standard Standard orrort deviation 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". 1,436 X

MATLAB: An Introduction with Applications
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(b)
1,436
critical value:
1,833
Calculate
0.000
2.000
0.832
Confidence interval of90%:
7,241±0.832
+
4.000
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.
90% confidence interval:
6.409
6.000
7.241
8.073
8.000
0.005
10040=2,821
10045 2,262
YO30=1,833
X
YO160 1,383
10.000
Ś
Transcribed Image Text:(b) 1,436 critical value: 1,833 Calculate 0.000 2.000 0.832 Confidence interval of90%: 7,241±0.832 + 4.000 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. 90% confidence interval: 6.409 6.000 7.241 8.073 8.000 0.005 10040=2,821 10045 2,262 YO30=1,833 X YO160 1,383 10.000 Ś
partially correct
(b): Your answer is wrong.
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
number of killer whales
Sample size:
10
10
sample mean
7,241
sample standard
Standard error:
deviation
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".
1,436
X
Ś
Transcribed Image Text:partially correct (b): Your answer is wrong. 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 number of killer whales Sample size: 10 10 sample mean 7,241 sample standard Standard error: deviation 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". 1,436 X Ś
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