Statistics

2) a) What qualifies two samples as being "independent?" b) From a certain company, 50 Men are surveyed and their mean age was 36 with a sample stdev of 6. 45 Women were surveyed and their mean age was 31 with a sample stdev. of 4. Test the hypothesis at an alpha of 0,05 that there is no significant difference with the mean ages of men and women at this company. C) 45 females and 35 males were surveyed to see if they would prefer that the campus would be fully online next semester. 23 females and 16 males responded:"yes". Test the hypothesis at a 0.05 level that females are at least (greater than or equal to) as supportive of online classes for next semester.Please answer all questions on this document. Use an alpha of 0.05 for each problem. For solving hypotheses problems, prease show the following: 1) State Ho and Ha. 2) Give the p value 3) State the conclusion 4) Indicate which TI 84 Test you ran (just give the number or letter of the test) 1) One group sample: 100 students were given an IQ test. If the mean result was 108 and it is known that the population standard deviation for IQ's is 15. It is also known that the national population mean for IQ's is 100. Use hypothesis testing to determine if there is a difference between the student IQ's and the national IQ mean.3) Matched Pairs a) What qualifies two samples as being "matched pairs?" b) At the start of class, students were asked to "rate their mood" on a scale of 1 to 5 where 1 is very low, and 5 is very high. These were the results of the 8 students surveyed: 3,5,5,1,2,4,3,4,4, 5,1. At the end of the class, these same students were again asked to rate their mood and gave the following answers: 2,2, 1,2,3,2, 1, 1 ,4,3,3. Test the hypothesis at a 0.05 level that students were in a significantly worse mood at the end of class as compared to the beginning of the class. 3) Hypotheses Rules: Identify which hypothesis each of the following sets of three symbols are used for (Ho or Ha) a ) , 0 Ho or Ha b) =, >=,