A small town is trying to decide whether to add a stop light at a busy intersection. They decide that if the average number of cars that need to turn left at peak rush hour exceeds 20, they will add a stoplight. They randomly sample 14 days and find the average number of cars that need to turn left to be 21.6. Suppose the population standard deviation is 3.5. Answer the following. A) (What are the null and alternative hypothesis if the town wishes
A small town is trying to decide whether to add a stop light at a busy intersection. They decide that if the average number of cars that need to turn left at peak rush hour exceeds 20, they will add a stoplight. They randomly sample 14 days and find the average number of cars that need to turn left to be 21.6. Suppose the population standard deviation is 3.5. Answer the following.
A) (What are the null and alternative hypothesis if the town wishes to test whether the average number of cars that need to turn left exceeds 20 at peak rush hour?
B) What is the value of the test statistic for this test?
C) (What is the p-value for this test?
D) If we use a significance level of 0.05, would you reject or fail to reject the null hypothesis?
E) Based on everything you learned in parts A-D, should the town add a stop sign? Your decision should be based on the statistical test.
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