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. (b) Take Sample Point estimate: 0 Sample standard deviation: 0 Critical value: 0 Compute 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". Sample size: 0.000 0.000 Number of killer whales 10 2.000 Sample mean 4.000 Standard error: 7.241 Margin of error: 90% confidence interval: 90% confidence interval: 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. 5.000 6.000 Sample standard deviation 1.436 8.000 X Critical values €0.005 = 3.250 ¹0.010 = 2.821 ¹0.025 = 2.262 10.050 = 1.833 10.100 = 1.383 10.000 10.000

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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.
(b)
Take Sample
Point estimate:
0
Sample standard deviation:
0
Critical value:
0
Compute
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".
Sample size:
0.000
0.000
Number of killer whales
10
2.000
Sample mean
4.000
Standard error:
7.241
Margin of error:
90% confidence interval:
90% confidence interval:
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.
5.000
6.000
Sample standard
deviation
1.436
+
8.000
X
Critical values
€0.005 = 3.250
¹0.010 = 2.821
¹0.025 = 2.262
10.050 = 1.833
10.100 = 1.383
10.000
10.000
Transcribed Image Text: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. (b) Take Sample Point estimate: 0 Sample standard deviation: 0 Critical value: 0 Compute 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". Sample size: 0.000 0.000 Number of killer whales 10 2.000 Sample mean 4.000 Standard error: 7.241 Margin of error: 90% confidence interval: 90% confidence interval: 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. 5.000 6.000 Sample standard deviation 1.436 + 8.000 X Critical values €0.005 = 3.250 ¹0.010 = 2.821 ¹0.025 = 2.262 10.050 = 1.833 10.100 = 1.383 10.000 10.000
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