A local bus company is planning a new route to serve four housing subdivisions. Random samples of households are taken from each subdivision, and sample members are asked to rate, on a scale of 1 (strongly opposed) to 5 (strongly in favor), their reaction to the proposed service. The results are summarized in the accompanying table. Subdivision 1 Subdivision 2 Subdivision 3 Subdivision 4Ni 240 190 350 280ni 40 40 40 40x̄i 2.5 3.6 3.9 2.8si 0.8 0.9 1.2 0.7a. Find a 90% confidence interval for the mean reaction of households in subdivision 1.b. Using an unbiased estimation procedure, estimate the mean reaction of all households to be served by the new route. c. Find 90% and 95% confidence intervals for the mean reaction of all households to be served by the new route.
A local bus company is planning a new route to serve four housing subdivisions. Random samples of households are taken from each subdivision, and sample members are asked to rate, on a scale of 1 (strongly opposed) to 5 (strongly in favor), their reaction to the proposed service. The results are summarized in the accompanying table.
Subdivision 1 Subdivision 2 Subdivision 3 Subdivision 4
Ni 240 190 350 280
ni 40 40 40 40
x̄i 2.5 3.6 3.9 2.8
si 0.8 0.9 1.2 0.7
a. Find a 90% confidence interval for the mean reaction of households in subdivision 1.
b. Using an unbiased estimation procedure, estimate the mean reaction of all households to be served by the new route.
c. Find 90% and 95% confidence intervals for the mean reaction of all households to be served by the new route.
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