Problem 6: Type 1 / Type 2 error Refer to the conclusion from Problem 5. Based on the conclusion (reject the null or fail to reject the null) what type of error (either Type 1 or type 2) could you have made? Explain. 5 Problem 7: Study time 3 Use R cornmand t . test 0 to repeat Problem 5' (Test whether students who plan to go to graduate school study more than students who don't at o: = {11). Copy and paste your R corrunand and output. Note to students : H. uses "Welch's degrees of freedom" instead of minimum of n1 1: n2 1= hence gives a slightly different pvalue from Problem 5. Problem 8: Multiple choice Pvalue of hypothesis test Ha : #1 = #2 is 0.03, \\Nhich of the following is always true? Explain. (A) Using the same sample information, the 95% confidence interval for H1 #2 will contain 0. (B) Using the same sample information, the 99% confidence interval for #1 #2 will contain 0. (C) Using the same sample information, the 95% confidence interval for #1 #2 will contain positive numbers only