In: Statistics and Probability
PLEASE ANSWER ALL 4 QUESTIONS
The owner of a bar wants to know whether their customers prefer Johnnie Walker Whiskey or Seagram's Whiskey. The bar owner is undecided over which of two possible experiments she should use. In Experiment 1, each customer rates only one of the two drinks. In Experiment 2, each customer evaluates both types of whiskey.
Experiment 1
Flip a coin for each customer to choose which type of drink (s)he
will taste. Then each person rates the drink from 1 to 10.
Experiment 2
Flip a coin for each customer to choose which types (s)he will
taste first. After trying both types of drinks, ask which of the
two varieties that (s)he prefers.
Which of the two given designs should the bar owner choose? Please explain your answer.
(2 points) Please indicate which type of sampling design is most appropriate for each of the following studies. The choices are SRS, stratified random sampling, and matched pair design.
Does air pollution induce DNA mutations in mice? 20 male mice were
housed in a polluted industrial area downwind from a steel mill. An
addition 20 male mice were housed in an unpolluted rural location
30 kilometers away.
Does smoking affect class performance? 300 14 to 22 year old
smokers and 300 14 to 22 year old nonsmokers were contacted and
asked about their gpa's.
A researcher wants to know the effect of climate change on the
percent yield of the corn harvest. They collected the data for the
same 50 plots in both 2016 and 2017 for their study.
1.
Experiment 2 ought to be favored by bar proprietor.
Clarification -
In first experiment there are chances that the client got first drink and (s)he disliked it and maybe on the off chance that the reaction of the coin may unique, at that point the conceivable rating could be higher.
What's more, subsequently based on one drink just client needs to rate the drink
While in the second experiment,
On the off chance that perception has square with probability of occuring the occasion. Consequently, everybody will attempt both the drinks and gave the score. Here the two drinks will get distinctive scores.
Henceforth the second experiment is ought to be ideal.
2.
The appropriate sampling design is block design.
Since the arbitrary assignments of units to medicines is completed independently inside each block.
Here, the blocks is men and women
3.
The appropriate sampling design is stratified random sampling.
Since the number of inhabitants in every one of the 14 to 22 years matured youth can be separated into two strata's as male and female. Draw an example from every stratum utilizing basic arbitrary sampling.
4.
The appropriate sampling design is stratified random sampling.