Discussion Board 10 Hypothesis Test Mean (sigma known) 10 SDSU's Fitness and Nutrition Center states that the average student spends at most $223 on food and beverage per month. You would like to test SDSU's Fitness and Nutrition Center claim at the .05 level of significance, so you randomly select 36 students get a sample mean of $240 and the population standard deviation is $48. A. What will be the alternative hypothesis? (just need to state 1-tail -Lower, 1-tail-Upper or 2-tail - just put one of those 3 answers in the body of the discussion board). B. The value of the test statistic and which test statistic you used (example: z = 1.23 or t = 1.234) and make sure to round correctly depending on which test statistic you will be using. G What is the probability of the test statistic for this specific problem? (take into consideration if this is 1-tail or 2- tail test) D. What conclusion will you come to? (just need to state Accept Ho or Reject Ho and Accept Ha just put one of those 2 answers in the body of the discussion board). E: Using the critical value approach, at what critical value or values will you start rejecting the null hypothesis? (make sure you are very careful and detailed with your answer, pay attention to signs and values) F. According to the conclusion you selected in Part D, what type of error could you have made (just put one of these 4 answers in the body of the discussion board- Type 1, Type 2, No error, Type 3 (which can be Type 1 and 2) G. If we increased alpha to .10, would this change the conclusion of the hypothesis test from Part D? (just need to state Yes or NO - just put one of those 2 answers in the body of the discussion board). **%% Use the appropriate table or tables from our lecture notes to answer all questions that require values or probabilities***** ***No probabilities generated from a calculator will be permitted/accepted (will not receive credit), only probabilities and values from your Z-tables (CH6) and T-tables (CH8) notes will be allowed. ***