In study of the recreation habits of teenagers in an inner-city middle school of a large city, one question was asked the numbers of the video game played per week . The population was divided into two groups, 12 less or equal to X Lees than 13 years old and 13 less or equal Y less 14 years old. The X group sample size is 110, and the Y group sample size is 150.( As sume that due to the large sample size, the sample variances are essentially equal to the population variations) Test the hypothesis that the average number of games played per week is the same for the two different age group

age group 12 less or equal X less than 14 sample size 110 mean 14.8 STD5.3, age group 13 less or equal Y less than 14 sample size 150 mean 18.5 STD 2.8

a) state the null and alternative hypothesis

b). State the assumption about the distributions of the above population

c) is the outcome of the difference of the means, a good evidence that the means amongst the age groups are same justify your answer using the critical value and your conclusion of the hypothesis testin words. Use alpha =.01

d) calculate p-value to back up your answer in (c) state your conclusion

2) Rado the competitions for the test of hypothesis under the assumption of the unknown, but equal (common) variance your parents c and d compare the results of problem one.

PLEASE PLEASE SOVE QUESTION 2 I ALREADY KNOW QUESTION 1 I ONLY NEED QUESTION 2, I WILL GIVE YOU GOOD REATE IF YOU HELP ME VERY QUICKLY PLEASE