Question

I need 7-8 sentences responding to each paragraph written by my peers. Please make sure each paragraph is error/grammar free. Please separate each paragraph written by number 1 and 2. Thanks, Chegg

1.In general, when we want to use statistical methods to help us make inferences, we will first put forward hypotheses based on the results and hope that we can use limited data to verify our hypotheses and hypothesis testing are a way to test the statistical hypothesis.

In our life hypothesis test is a very useful method and scholars use it very often to predict the data assumption is correct or not. The effectiveness of sleeping pills is a very good example of a statement in hypothesis tests. We could do the hypothesis test through sleeping in normal conditions and tracking the time and quality of sleep for one week, and doing the same action while taking sleeping pills. Under this condition, we can perform the same activities before sleep in order to control the data like watch the film or news in the evening, and avoid some exhausting work which will deplete human energy very quickly. This will help us to gain a stable data.

What we need is to set up two datasets, one is sleeping with sleeping pills, the other is without pills. Within these 14 days, We can get an average of both. The null hypothesis would be "taking pills will not affect the time and quality of sleep". In this statistic data, we will obtain the difference in the averages. If the p-value from the data is lower than the significance level 0.05, we can reject this null hypothesis and make a statement that has been proven that sleeping pills do make you sleep longer.

2.I would like to conduct a hypothesis test regarding how much time on average I can win a game of "Civ 6," a strategy game on my PC on level 6 vs. level 7. This is an ideal space for experimentation because of the quick completion times and because of the ease of cost. I would take a measurement of historical times needed to win on level 6 difficulty which may average about 90 minutes on a standard map with 5 other players with 14 city states. The null hypothesis or H0 is that level 7 is so simple to strategize level 7 on average will take only 90 minutes to complete, the same.

The resource bonuses to AI do not materially affect gameplay because of late introduction. The alternative hypothesis or H_a is that level 7 in fact is much more difficult and that the mean time of completion is greater than 90 minutes at the 95% confidence interval. I would conduct these experiments by playing 30 level 7 games over the course of 10 weeks with 3 games played per week. The test would end after 10 weeks. No games of level 6 need to be played because we have saved historical records. The obstacles I would encounter would include frozen computer screens/restarts and outliers in the difficulty because of terrain such as starting on an island. This can increase the time needed by over an hour. I would also need a code of ethics because if the average level 7 time starts to grow I can simply expand the sample size to get the desired result. The hard limit must be a sample size of 30.

Answer 1

1) The first paragraph is talking about the statistical method and its importance, like where this method can help us.which is follwing 1) Help in make inference about something. 2) Where we have limited set of data to make a decision . The statistical method use hypothesis and try to verifies these hypothesis via limited set of set . After that it try to explain the methodology of hypothesis test via example of effectiveness of sleeping pills. In example he has talked about two set of data first about quality of sleeping and time of sleep in  the normal condition(without taking pills). second data about while taking pills, for some time periods. And then take average of each data set and compare and try to reach conclusion about null hypothesis (Taking pills don't affact the sleeping). If differance between average data is less (<0.05) then we can reject null hypothesis, and reach to conclusion taking sleeping pills make sleep longer and enhanced quality.

2) It is about to develop a strategy to win a game (Civ 6) via hypothesis test . Through hypothesis he try to find out how much average time take to win the game. He chose hypothesis test because it is quick and cost friendly.To conduct test he took historical time data to win level 6 of the game with 5 players from different cities(14 cities). A null hypothesis for level 7 assume level 7 is simple to strategzie and take same time as level 6, and also take alternative hypothesis( level 7 game is difficult and may take more time to win ). He would conduct these expriments(Test) by playing 30 level 7 games over the course of 10 weeks.Here all game has played above the level 6. He also took care about difficulty he would face while conducting test . He would also need a code of ethics because in case of any external difficulty he could expand sample space to get desired result.