- Points From Previous Studies It Has Been Generally Believed That Northern Hemisphere Icebergs Have A Mean Depth Of 270 1 (78.18 KiB) Viewed 104 times
points) From previous studies, it has been generally believed that Northern Hemisphere icebergs have a mean depth of 270
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points) From previous studies, it has been generally believed that Northern Hemisphere icebergs have a mean depth of 270
points) From previous studies, it has been generally believed that Northern Hemisphere icebergs have a mean depth of 270 meters and a standard deviation of 20 meters. An environmentalist has suggested that global warming has caused loebergs to have greater depth. A team of scientists visiting the Northern Hemisphere observed a random sample of 41 icebergs. The depth of the base of the iceberg below the surface was carefully measured for each and the sample mean and standard deviation were calculated. Part a) Which of the following is/are the parameters) in the context of this problem? (Select all that apply A. The variance of the depths ſin m?) of all Northern Hemisphere icebergs. B. The mean depth in mot all Northern Hemisphere icebergs. C. 41 UD. The mean depth (in mự of the 41 icebergs in the study E. None of the above Part b) What would your nul hypothesis be for the hypothesis test to be conducted? The mean depth of the Northern Hemisphere icebergs is 270 meters now. The mean depth of the Northern Hemisphere icebergs is greater than 270 meters now, The mean depth of the Northern Hemisphere icebergs is smaller than 270 meters now. The mean depth of the Northern Hemisphere icebergs is different from 270 meters now. The mean depth of the Northern Hemisphere icebergs used to be 270 meters. The mean depth of the Northern Hemisphere icebergs used to be greater than 270 meters. The mean depth of the Northern Hemisphere icebergs used to be smaller than 270 meters. The mean depth of the Northern Hemisphere icebergs used to be different from 270 meters. Parte) You would take the alternative hypothesis to be: one-sided, right-tailed two-sided one-sided, loft-tailed it does not matter whether we take a one-sided or two-sided alternative. Part d) Suppose that, based on data collected, you reject the null hypothesis. Which of the following could you conclude? There is sufficient evidence to suggest that the mean depth of Northern Hemisphere icebergs has increased There is sufficient evidence to suggest that the mean depth of the Northern Hemisphere icebergs has not changed. There is sufficient evidence to suggest that the mean depth of Northern Hemisphere icebergs has decreased There is insufficient evidence to suggest that the mean depth of the Northern Hemisphere icebergs has not changed. There is insufficient evidence to suggest that the mean depth of Northern Hemisphere icebergs has increased. There is insufficient evidence to suggest that the mean depth of Northern Hemisphere icebergs has decreased Parte) Suppose that, based on data collected, you decide that the mean depth of Northern Hemisphere icebergs has increased. it is possible that you are making a Type I error. it is possible that you are making a Type Il error it is certainly correct that the mean depth of Northern Hemisphere icebergs has increased it is certainly incorrect that the mean depth of Northern Hemisphere icebergs has increased there must have been a problem with the way the sample was obtained Part) Suppose that, based on the data collected, you obtain a P-value of 0.04. This means the sample of icebergs are relatively greater in depth, if indeed the true mean depth of the Northern Hemisphere icebergs is 270 meters now. there is a 4% chance that the mean depth of Northern Hemisphere icebergs has increased there is a 4% chance that the mean depth of Northern Hemisphere icebergs has decreased. O the probability of the mean depth of icebergs measuring 270 meters, or greater is 0.04, I indeed the true mean depth of the Northern Hemisphere icebergs is 270 meters now. the probability of the mean depth of icebergs measuring 270 meters, or smaller is 0.04, if indeed the true mean depth of the Northern Hemisphere Icebergs is 270 meters now. the sample of icebergs are relatively smaller in depth, if indeed the true mean depth of the Northern Hemisphere icebergs is 270 meters now. Part 9) Based on the P-value that was obtained, you would (Select all that apply): A. reject the null hypothesis at a = 0.05 level of significance B. neither reject nor accept the null hypothesis. C. fail to reject the null hypothesis at all. D.reject the null hypothesis at a = 0.1 level of significance E. believe the null hypothesis is true F. None of the above