Question

A city council is deciding whether or not to spend additional money to reduce the amount of traffic. The council decides that it will increase the transportation budget if the amount of waiting time for drivers exceeds 20 minutes. A sample of 32 main roads results in a mean waiting time of 2208 minutes with a standard deviation of 5.42 minutes. Conduct a hypothesis test at the T%evel of ignificance to determine whether or not the city should increase its transportation budget. (You may find it useful to reference the appropriate table: z table or t table) a. Select the relevant null and the alternative hypotheses. 0H0: μ 20; HA: μ > 20 b. Compute the value of the appropriate test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic c. Find the p-value. Op-value<0.01 0.01 s p-value < 0.025 0 0.025s pvalue < 0.05 0.05 s p-value 0.10 Op-value 2 010 d. Determine whether or not the city should increase its transportation budget. OReject H, the city should increase its transportation budget Do not reject He: the city should increase its transportation budget Reject H the city should not increase its transportation budget Do not reject He: the city should not increase its transportation budget.

Answer 1

Here, we apply test for population mean using the z test staistic

Z= ($\dpi{100} \fn_cm \bar{x}$ -$\dpi{100} \fn_cm \mu$)/(s/$\dpi{100} \fn_cm \sqrt{n}$)

Civer 22 oe 08 5.42 A Thnull apd altema olbeses au bhLest stehishe s ズー %0 22 0820 32 e) P-value P (z > 2.11) こ 0.0150 valuaS Fail to rei ecfH。 Do not reed H he city shauld nd iocrease