Choose the proper statistical technique to use for each scenario from the list b
ID: 3023364 • Letter: C
Question
Choose the proper statistical technique to use for each scenario from the list below. Match A-G with 1-7 and please explain how you got this answer. Thanks. I will rate immediately.
A)One sample test for a mean
B)One sample test for a proportion
C)Two sample test for means- independent
D)Two sample test for means – paired
E)Two sample test for proportions
F)Chi square test for homogeneity of proportions
G)One Way Analysis of Variance
1. One of the measures of the effectiveness of a stimulus is how much the viewers pulse rate increases on exposure to it. In testing a lively music theme for its television commercials, an advertising agency shows ads with the new music to 25 viewers and their mean pulse rate is 20.5 beats per minute while the mean pulse rate per minute for another sample of 25 viewers seeing the same ads with the old music was 16.9 beats per minute. Is the new music theme better?
2. A study has been carried out to determine if there is a difference in the average dollar contributions made by clerical workers at three different firms.
3. A trucking firm is considering the installation of a new, low restriction engine air filter for its long-haul trucks, but doesn’t want to make the switch unless the new filter can be shown to improve the fuel economy (miles per gallon) of these vehicles. A test is set up so that each of 10 trucks makes the same run twice- once with the old filtration system and once with the new version.
4. According to the ICR Research Group, 63% of Americans in the 18-34 age group say they are comfortable filing income tax returns electronically, compared to just 49% of those 55-64. They sampled 200 people from each age group to determine if the younger set were more comfortable with electronic filing than those in the older group.
5. It has been reported that the average visitor from Japan spent $1953 during a trip to the United States, while the average for a visitor from the United Kingdom was $1738. Does the visitor from the United Kingdom spend significantly higher than a visitor from Japan?
6. A movie complex has a sellout for three movies rated G, PG, and R that they show simultaneously on a Friday evening. A sample of patrons from each movie is observed to determine if they purchase snacks or do not. Could the percentage buying snacks be the same for each movie?
7. A company uses a great deal of water in the process of making industrial milling equipment. They want to comply with federal standards which require the average ph level to not exceed 7.4 so they take 95 samples of water from after it goes through their water purification system but before it reaches the settling pond and they measure the ph level.
Explanation / Answer
1. C) Two sample test for means- independent
It has two samples, and the samples are independent. The samples have no natural pairing (i.e., twins, husband and wife, etc.)
**************
2.G)One Way Analysis of Variance
It has 3 firms, so it is ANOVA.
**************
3. D)Two sample test for means – paired
It is a before and after scenario, so it is paired.
**************
4. E)Two sample test for proportions
There are two samples, and we are testing proportions.
***************
5. C)Two sample test for means- independent
***************
6. F)Chi square test for homogeneity of proportions
We are testing if the hypothesizes proportions are correct.
***************
7. A)One sample test for a mean
We only have one sample, and we test if the mean is greater than 7.4