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According to a study on reptiles from decades ago, the mean lifespan of giant Aldabra tortoises in the wild is 89.7 years. Many of the areas where these tortoises live have become polluted with plastic waste. Because of this, a biologist claims the mean lifespan of these tortoises has decreased. To test this claim, the biologist conducted a study of 20 randomly selected, giant Aldabra tortoises in the wild. In the study, the sample mean lifespan was 85.6 years with a sample standard deviation of 13.2 years. Assume that the population of lifespans of giant Aldabra tortoises in the wild is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that , the mear lifespan of giant Aldabra tortoises in the wild, is now less than 89.7 years. (a) State the null hypothesis H, and the alternative hypothesis that you would use for the test. HO HO . Student'st Distribution (b) Perform a I test and find the p-value. Here is some information to help you with your I test. Step 1: Enter the number of degrees of freedom. The value of the test statistic is given by t Step 2: Select one-tailed or two-tailed. O One-tailed OTwo-tailed H Step 3: Enter the test statistic. (Round to 3 decimal places.) Step 4: Shade the area represented by the p-value. OO The p-value is the area under the curve to the left of the value of the test statistic. Step 5: Enter the p-value. (Round to 3 decimal places.) X 020 ロ=ロロロ x Ś 04+ 03+ a2+ 0.1+

According to a study on reptiles from decades ago, the mean lifespan of giant Aldabra tortoises in the wild is 89.7 years. Many of the areas where these tortoises live have become polluted with plastic waste. Because of this, a biologist claims the mean lifespan of these tortoises has decreased. To test this claim, the biologist conducted a study of 20 randomly selected, giant Aldabra tortoises in the wild. In the study, the sample mean lifespan was 85.6 years with a sample standard deviation of 13.2 years. Assume that the population of lifespans of giant Aldabra tortoises in the wild is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that , the mear lifespan of giant Aldabra tortoises in the wild, is now less than 89.7 years. (a) State the null hypothesis H, and the alternative hypothesis that you would use for the test. HO HO . Student'st Distribution (b) Perform a I test and find the p-value. Here is some information to help you with your I test. Step 1: Enter the number of degrees of freedom. The value of the test statistic is given by t Step 2: Select one-tailed or two-tailed. O One-tailed OTwo-tailed H Step 3: Enter the test statistic. (Round to 3 decimal places.) Step 4: Shade the area represented by the p-value. OO The p-value is the area under the curve to the left of the value of the test statistic. Step 5: Enter the p-value. (Round to 3 decimal places.) X 020 ロ=ロロロ x Ś 04+ 03+ a2+ 0.1+

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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According to a study on reptiles from decades ago, the mean lifespan of giant Aldabra tortoises in the wild is 89.7 years. Many of the areas where these tortoises live have become polluted with plastic waste. Because of this, a biologist claims the mean lifespan of these tortoises has decreased. To test this claim, the biologist conducted a study of 20 randomly selected, giant Aldabra tortoises in the wild. In the study, the sample mean lifespan was 85.6 years with a sample standard deviation of 13.2 years. Assume that the population of lifespans of giant Aldabra tortoises in the wild is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that, the mean lifespan of giant Aldabra tortoises in the wild, is now less than 89.7 years. (a) State the null hypothesis H, and the alternative hypothesis that you would use for the test. HO HO . Student'st Distribution (b) Perform a I test and find the p-value. Here is some information to help you with your I test. Step 1: Enter the number of degrees of freedom. The value of the test statistic is given by t Step 2: Select one-tailed or two-tailed. O One-tailed OTwo-tailed H Step 3: Enter the test statistic. (Round to 3 decimal places.) Step 4: Shade the area represented by the p-value. O<O Oso O>O The p-value is the area under the curve to the left of the value of the test statistic. Step 5: Enter the p-value. (Round to 3 decimal places.) X 020 ロ=ロロロ x Ś 04+ 03+ a2+ 0.1+
Transcribed Image Text:According to a study on reptiles from decades ago, the mean lifespan of giant Aldabra tortoises in the wild is 89.7 years. Many of the areas where these tortoises live have become polluted with plastic waste. Because of this, a biologist claims the mean lifespan of these tortoises has decreased. To test this claim, the biologist conducted a study of 20 randomly selected, giant Aldabra tortoises in the wild. In the study, the sample mean lifespan was 85.6 years with a sample standard deviation of 13.2 years. Assume that the population of lifespans of giant Aldabra tortoises in the wild is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that, the mean lifespan of giant Aldabra tortoises in the wild, is now less than 89.7 years. (a) State the null hypothesis H, and the alternative hypothesis that you would use for the test. HO HO . Student'st Distribution (b) Perform a I test and find the p-value. Here is some information to help you with your I test. Step 1: Enter the number of degrees of freedom. The value of the test statistic is given by t Step 2: Select one-tailed or two-tailed. O One-tailed OTwo-tailed H Step 3: Enter the test statistic. (Round to 3 decimal places.) Step 4: Shade the area represented by the p-value. O<O Oso O>O The p-value is the area under the curve to the left of the value of the test statistic. Step 5: Enter the p-value. (Round to 3 decimal places.) X 020 ロ=ロロロ x Ś 04+ 03+ a2+ 0.1+
(c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the biologist. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean lifespan of giant Aldabra tortoises in the wild is now less than $9.7 years. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean lifespan of giant Aldabra tortoises in the wild is now less than 89.7 years. O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean lifespan of giant Aldabra tortoises in the wild is now less than 89.7 years. O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean lifespan of giant Aldabra tortoises in the wild is now less than 89.7 years.
Transcribed Image Text:(c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the biologist. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean lifespan of giant Aldabra tortoises in the wild is now less than $9.7 years. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean lifespan of giant Aldabra tortoises in the wild is now less than 89.7 years. O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean lifespan of giant Aldabra tortoises in the wild is now less than 89.7 years. O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean lifespan of giant Aldabra tortoises in the wild is now less than 89.7 years.
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