Section 9 The observations (volume in m3/ha ) of ten prism plots from a given forest type are summarized as follows: X1 = 420 m3 /ha E X? = 1,778,400 (m3 /ha)2 i=1 Using this information, test if the standard deviation is significantly different from 50 m3 /ha. Use a = 0.05. Answer the following questions (Part 1 to Part 8) using this description.Part 1 What is the standard deviation of the sample?Part 2 Are these the correct null and alternative hypotheses to use for the problem presented in Section 9 (True=yes, False=no)? HO: The standard deviation of the observations is not different from 50 (i.e. o = 50). H1: The standard deviation of the observations is different than 50 (i.e., o # 50). True O FalsePart 3 To test if the standard deviation is significantly different from 50 m3 /ha, what critical value would you use for the left hand side of the X2 distribution at alpha =0.05? 2.7Part 4 To test if the standard deviation is significantly different from 50 m3 /ha, what critical value would you use for the right hand side of the X distribution at alpha =0.05?Part 5 What is the value of the test statistic you found? Part 6 Based on your results from Part 1 to Part 5 is the following statement about whether the standard deviation is significantly different from 50 m3 /ha correct (True)? We reject the null hypothesis and conclude that the standard deviation of the observations is different than 50