THIS IS FOR STAT PLEASE ANSWER ASAP AND CLEARLY

4. 11 Healthy adults' initial temperature (Temp 1) have been measured while sitting still, then their temperatures are measured again after laying down (Temp 2). Subject 2 3 4 5 6 8 9 10 11 Temp 1 37.61 37.07 37.20 37.23 37.38 37.59 37.28 37.12 37.55 37.04 37.78 Temp 2 37.19 |36.91 36.70 36.80 36.96 37.25 37.11 36.82 37.36 36.92 37.22 a) To test the claim that the mean temperature difference is 0 while sitting still vs. laying down, state the null and alternative hypotheses. b) At a = 0.01 significance level, find the critical value (round to 3 decimal places). c) Calculate the test statistics (round to 3 decimal places). STAT 1P98 F2022 d) Use Excel Data Analysis function, at 0.01 significance level, compare the two paired sample mean, submit a screenshot of the result output. (t Stat from the output should match your answer in part c). e) Based on your answer from c) or d), at a = 0.01 level, what is your conclusion?3. The data in the table below were obtained through a survey of randomly selected individuals in Ontario Speeding Tickets Received Within the Last Year? Yes No Male 23 222 Female 25 421 a) Find the probability pl of getting someone ticketed for speeding, given that the selected person is a man (round to 3 decimal places). b) Find the probability p2 of getting someone ticketed for speeding, given that the selected person is a woman (round to 3 decimal places). c) Use a m level of signicance to test the claim that men are more likely to receive a speeding ticket than women. 0 To use normal approximation, check the sample size requirements 0 Calculate the test statistics (round to 3 decimal places). {1) Find the critical value (round it to 3 decimal places). e) Make a conclusion based on your answer from part c) and d)