In the airline business, "on-time" flight arrival is important for connecting flights and general customer satisfaction. Is there a difference between summer and winter average on-time flight arrivals? Let x1 be a random variable that represents percentage of on-time arrivals at major airports in the summer. Let x2 be a random variable that represents percentage of on-time arrivals at major airports in the winter. A random sample of n1 = 16 major airports showed that x1 = 74.9%, with s1 = 5.3%. A random sample of n2 = 18 major airports showed that x2 = 70.2%, with s2 = 8.6%. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. What is the value of the sample test statistic? (Round your answer to three decimal places.)    (b) Find a 95% confidence interval for μ1 − μ2. (Round your answers to two decimal places.) lower limit     % upper limit

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In the airline business, "on-time" flight arrival is important for connecting flights and general customer satisfaction. Is there a difference between summer and winter average on-time flight arrivals? Let

x1

be a random variable that represents percentage of on-time arrivals at major airports in the summer. Let

x2

be a random variable that represents percentage of on-time arrivals at major airports in the winter. A random sample of

n1 = 16

major airports showed that

x1 = 74.9%,

with

s1 = 5.3%.

A random sample of

n2 = 18

major airports showed that

x2 = 70.2%,

with

s2 = 8.6%.

Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer.

What is the value of the sample test statistic? (Round your answer to three decimal places.) 

 


(b) Find a 95% confidence interval for

μ1 − μ2.

(Round your answers to two decimal places.)

lower limit     %
upper limit      
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