population of heights of all mature eucalyptuses in the

Last updated: 6/3/2023

population of heights of all mature eucalyptuses in the forest is approximately normally distributed An article in a conservation journal claims that the standard deviation of this population is 7 85 m You are a researcher who wants to test this claim with a random sample of 56 mature eucalyptuses from the forest Based on your sample follow the steps below to construct a 95 confidence interval for the population standard deviation of all mature eucalyptus heights in the forest 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 from the random sample Take Sample Point estimate of the population variance Sample size 0 Left critical value Right critical value 0 To find the confidence interval for the population standard deviation first find the confidence interval for the population variance Compute Enter the values of the point estimate of the population variance the sample size the left critical value and the right critical value you need for your 95 confidence interval for the population variance Choose the correct critical values from the table of critical values provided When you are done select Compute Number of mature eucalyptuses 56 0 00 Sample mean Sample standard deviation 7 27 0 00 93 45 95 confidence interval for the population variance 2 00 95 confidence interval for the population standard deviation 4 00 5 00 Critical values Left Right b Based on your sample graph the 95 confidence interval for the population standard deviation of all mature eucalyptus heights in the forest 0 995 31 735 0 005 85 749 Enter the values for the lower and upper limits on the graph to show your confidence interval Round the values to two decimal places For the point enter the claim 7 85 from the article on your graph 6 00 2 X0 975 36 398 0 025 77 38 95 confidence interval for the population standard deviation Sample variance 0 950 38 958 X0 050 73 311 52 8529 O No the confidence interval does not contradict the claim The claimed standard deviation 7 85 is inside the 95 confidence interval O No the confidence interval does not contradict the claim The claimed standard deviation 7 85 is outside the 95 confidence interval Yes the confidence interval contradicts the claim The claimed standard deviation 7 85 is inside the 95 confidence interval O Yes the confidence interval contradicts the claim The claimed standard deviations is outside the 8 00 c Does the 95 confidence interval you constructed contradict the article s claim Choose the best answer from the choices below X S 5 10 00 10 00