Question

Most air travellers now use e-tickets. Electronic ticketing allows passengers to not worry about a paper ticket, and it costs the airline companies less to handle than paper ticketing. However, in recent times, the airlines have received complaints from passengers regarding their e-tickets, particularly when connecting flights and a change of airlines were involved. To investigate the problem, an independent agency contacted a random sample of 20 airports and collected information on the number of complaints the airport had with e-tickets for the month of March. The information is reported below:

17	17	17	11	12	12	13	11	13	10
18	17	14	10	17	12	12	18	14	12

At the 0.02 significance level, can the agency conclude that the mean number of complaints per airport is less than 16 per month?

a. What assumption is necessary before conducting a test of hypothesis?

b. Not available in Connect.

c. Conduct a test of hypothesis and interpret the results.

H₀ : μ ≥ 16; H₁ : μ < 16;

H₀ if t < . (Round the final answer to 3 decimal places.)

The value of the test statistic is . (Negative answer should be indicated by a minus sign. Round the final answer to 2 decimal places.)

H₀. There is evidence to conclude that the mean number of complaints is less than 16.

Answer 1

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Answer:

From the data we find the mean as 13.85

SD of the data = 2.79615

SE = 2.79615/SQRT(20) = 0.62524

a)

It is reasonable to conclude that the population follows a normal distribution.

H0: u >= 16

H1: u < 16

b)

test stat t=(X-mean)/std error

= (13.85 - 16)/0.62524 = -3.44

=Tdist(-3.43868,19,1) = 0.001234

Since p value less than the 0.02

From the level of significance and calculated p-value, there is enough  evidence to conclude that the mean number of complaints is less than 16