An airline is considering charging a​ two-tiered rate for checked bags based on their weight. Before deciding at what weight to increase the​ rate, the airline wishes to estimate the mean weight per bag checked by passengers. It wants the estimate to be within ±0.25 pounds of the true population mean. A pilot sample of checked bags produced the results shown below.  data: 49 38 38 42 33 32 34 37 40 44 40 36 43 40 39 36 49 44 44 38     a.  What sample size should the airline use if it wants to have 95​% ​confidence? b Suppose the airline managers do not want to take as large a sample as the one determined in part a. What general options do they have to lower the required sample​ size? The sample size must be at least ???. ​(Round up to the nearest whole​ number.)   b. What could the managers do to lower the required sample​ size? Select all that apply.     A. Increase the margin of error   B. Use a larger pilot sample   C. Reduce the level of confidence   D. Increase the population standard deviation

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An airline is considering charging a​ two-tiered rate for checked bags based on their weight. Before deciding at what weight to increase the​ rate, the airline wishes to estimate the mean weight per bag checked by passengers. It wants the estimate to be within
±0.25
pounds of the true population mean. A pilot sample of checked bags produced the results shown below. 
data:
49
38
38
42
33
32
34
37
40
44
40
36
43
40
39
36
49
44
44
38
   
a. 
What sample size should the airline use if it wants to have
95​%
​confidence?
b
Suppose the airline managers do not want to take as large a sample as the one determined in part a. What general options do they have to lower the required sample​ size?
The sample size must be at least
???.
​(Round up to the nearest whole​ number.)
 
b. What could the managers do to lower the required sample​ size? Select all that apply.
 
 
A.
Increase the margin of error
 
B.
Use a larger pilot sample
 
C.
Reduce the level of confidence
 
D.
Increase the population standard deviation
 
 
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