Question

The nature conservancy has hired you to estimate the population mean of all the lengths of fully grown male killer whales living in captivity. To estimate this population mean, you select a random sample of 14 fully grown male killer whales living in captivity and record the lengths (in m) of each male killer whale. Assume that the population is approximately normally distributed. Based on your sample, follow the steps below to construct a 99% confidence interval for the population mean of all lengths of fully grown male killer whales living in captivity. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Number of killer whales | Sample mean | Sample standard deviation --- | --- | --- Take Sample | | 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 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Sample size: | Standard error: Point estimate: | Sample standard deviation: | Margin of error: Critical value: | 99% confidence interval: Compute | Confidence level | Critical value --- | --- 99% | t_0.005 = 3.012 95% | t_0.025 = 2.160 90% | t_0.050 = 1.771 (b) Based on your sample, enter the lower and upper limits to graph the 99% confidence interval for the population mean of all the lengths of fully grown male killer whales living in captivity. 99% confidence interval: 0.000 | 10.000 0.000 2.000 4.000 6.000 8.000 10.000

          The nature conservancy has hired you to estimate the population mean of all the lengths of fully grown male killer whales living in captivity. To estimate this population mean, you select a random sample of 14 fully grown male killer whales living in captivity and record the lengths (in m) of each male killer whale. Assume that the population is approximately normally distributed.

Based on your sample, follow the steps below to construct a 99% confidence interval for the population mean of all lengths of fully grown male killer whales living in captivity. (If necessary, consult a list of formulas.)

(a) Click on "Take Sample" to see the results for your random sample.

Number of killer whales | Sample mean | Sample standard deviation
--- | --- | ---
Take Sample | | 

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 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute".

Sample size: | Standard error:
Point estimate: | 
Sample standard deviation: | Margin of error:
Critical value: | 99% confidence interval:
Compute | 

Confidence level | Critical value
--- | ---
99% | t_0.005 = 3.012
95% | t_0.025 = 2.160
90% | t_0.050 = 1.771

(b) Based on your sample, enter the lower and upper limits to graph the 99% confidence interval for the population mean of all the lengths of fully grown male killer whales living in captivity.

99% confidence interval:
0.000 | 10.000
0.000 2.000 4.000 6.000 8.000 10.000

The nature conservancy has hired you to estimate the population mean of all the lengths of fully grown male killer whales living in captivity. To estimate this population mean, you select a random sample of 14 fully grown male killer whales living in captivity and record the lengths (in m) of each male killer whale. Assume that the population is approximately normally distributed.

Based on your sample, follow the steps below to construct a 99% confidence interval for the population mean of all lengths of fully grown male killer whales living in captivity. (If necessary, consult a list of formulas.)

(a) Click on "Take Sample" to see the results for your random sample.

Number of killer whales | Sample mean | Sample standard deviation
— | — | —
Take Sample | |

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 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute".

Sample size: | Standard error:
Point estimate: |
Sample standard deviation: | Margin of error:
Critical value: | 99% confidence interval:
Compute |

Confidence level | Critical value
— | —
99% | t0.005 = 3.012
95% | t0.025 = 2.160
90% | t0.050 = 1.771

(b) Based on your sample, enter the lower and upper limits to graph the 99% confidence interval for the population mean of all the lengths of fully grown male killer whales living in captivity.

99% confidence interval:
0.000 | 10.000
0.000 2.000 4.000 6.000 8.000 10.000

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