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ratelena [41]
3 years ago
14

A mechanic gives a survey to all of his customers asking them to rate the quality of the service they received. He then keeps tr

ack of how many customers return to the shop for additional services during the next six months. Last year, the results showed that of the customers who reported high quality service, 20% returned for additional services. What conclusion can be drawn from this study?
A Some customers who rate their service as high quality return for additional services.


B Most customers who rate their service as high quality return for additional services.


C High quality services cause customers to return for additional services.


D Customers who will return for additional services report a high quality of service.
Mathematics
1 answer:
sammy [17]3 years ago
8 0
The answer is letter A. 
In the paragraph, only 20% of the customers who voted highly returned. From this, we can only say that some of those people came back. Most means a majority of the population and some means a minority. 
Also, we can't say C or D because we do not have any information regarding customers who voted badly. C says that high rating make people come back, but we do not have any information on the people who voted mediocre. We can not say C. D says that customers who come back will be high rating customers. We do not know if any customers who voted low came back, so we are unable to say D. 
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Answer:

95% Confidence interval: (39.43, 61.58)

Step-by-step explanation:

We are given the following in the question:

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Putting the values, we get,  

t_{critical}\text{ at degree of freedom 14 and}~\alpha_{0.05} = \pm 2.1447  

=50.50 \pm 2.1447(\dfrac{20}{\sqrt{15}} ) \\\\= 50.50 \pm 11.0751 \\= (39.4249,61.5751)\\\approx (39.43, 61.58)  

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