Medical researchers studying the weight of people residing in various geographic regions of the USA claim that 60-65 year old men residing in California don't weigh the same as 60-65 year old men residing in Utah. To test their claim, the researchers randomly select 225 men, 6065 years old, residing in each state, and have them weighed at local medical clinics. The average weight of the California men is 87.8kgs with a standard deviation of 13.7kgs. The average weight of the Utah men is 90.3kgs with a standard deviation of 21.2kgs. Based on this data, and using an alpha =0.10, answer the following questions and test the claim. The left critical value = (round to 2 decimals - if there is no left value, enter "na") The right critical value = (round to 2 decimals - if there is no right value, enter "na") The test statistic = (round to 2 decimals) The result of the hypothesis test is (enter "reject HO " or "fail to reject HO ") Is the claim supported? (enter "yes" or "no")