# In the study of marine adaptations of reptiles previous work

Last updated: 5/26/2023

In the study of marine adaptations of reptiles previous work has indicated that Gal pagos Island marine iguanas can hold their breath underwater a mean of 38 0 minutes The ocean temperatures in the Gal pagos have risen over the past decade which forces the iguanas to dive deeper for food more regularly Due to this an oceanographer claims that the mean time these iguanas can hold their breath underwater has increased To test this claim the oceanographer studied 20 randomly selected Gal pagos Island marine iguanas In the study the sample mean time the iguanas could hold their breath underwater was 38 7 minutes with a sample standard deviation of 42 minutes Assume that the population of amounts of time Gal pagos Island marine iguanas can hold their breath underwater is approximately normally distributed Complete the parts below to perform a hypothesis test to see if there is enough evidence at the 0 10 level of significance to support that the mean time Gal pagos Island marine iguanas can hold their breath underwater is now more than 380 minutes a State the null hypothesis and the alternative hypothesis that you would use for the test H D Student s t Distribution Step 1 Enter the number of depres of freedom Step 2 Select one tailed or two taled O One tated OTwo tailed Step 3 Enter the critical value s Round to 3 ducal places b Perform a hypothesis test The test statistic has a distribution so the test is a test Here is some other information to help you with your test is the value that cuts off an area of 0 10 in the right tail X H The value of the test statistic is given by TR Step 4 Enter the test statistic Round to 3 deckal places BUE Since the value of the test statistic lies in the rejection region the null hypothesis is rejected So there is enough evidence to support the claim that the mean time Gal pagos Island marine iguanas can hold their breath underwater is now more than 380 minutes 00 00 00 Since the value of the test statistic lies in the rejection region the null hypothesis is not rejected So there is not enough evidence to support the claim that the mean time Gal pagos Island marine iguanas can hold their breath underwater is now more than 38 0 minutes CD D C D Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is rejected So there is enough evidence to support the claim that the mean time Gal pagos Island marine iguanas can hold their breath underwater is now more than see minutes X Based on your answer to part b choose what can be concluded at the 0 10 level of significance about the claim made by the oceanographer x x 3 5