What are the implications of type one error for traffic flow

Reference no: EM13156227

Most traffic lights are set so that there is enough time for pedestrians to cross the road safely. A recent study indicates that a large number of elderly cannot get across the road in the usual 15 seconds allowed. To determine the average amount of time it takes senior citizens to cross the street, a study was taken of 25 seniors. On the average, it took them 19.5 seconds to cross the street, with a sample standard deviation of five seconds. Assume the time to cross the road has a normal distribution.

a). Set up the null and alternative hypotheses to see if the data show that it does indeed take seniors longer than 15 seconds to cross the street.
b). In terms of traffic flow, what are the implications of a Type I error?
c). What are the implications of a Type II error?
d). Find the value of the test statistic.
e). If alpha = 0.05, what is the rejection region?
f). What is your recommendation to the city?

Reference no: EM13156227

Questions Cloud

What volume will the gas occupy : a sample of oxygen gax occupies a volume of 250ml at 740 torr presure, what volume will it occupy at 800 torr pressure?

Chemiluminescence reaction will actually occur very slowly : Your chemiluminescence reaction will actually occur very slowly in air. What component of air will bring about this reaction and what is its approximate concentration in air? If you had a stoppered flask with basic luminol and then opened it to th..

Gram positive alkalinophile that grows at a ph = 10 : You isolate a Gram positive alkalinophile that grows at a pH = 10. At this external pH, the intracellular pH is maintained at 7.3. Using the equation proton motive force (pmf), determine the contributions of the electrical and chemical energy compone..

Corporate and partnership forms of organization : What is the difference in the percentage of the firm's pre-tax income that investors actually receive and can spend under the corporate and partnership forms of organization?

What are the implications of type one error for traffic flow : Set up the null and alternative hypotheses to see if the data show that it does indeed take seniors longer than 15 seconds to cross the street. In terms of traffic flow, what are the implications of a Type I error?

What are mitochondria : WHAT Are mitochondria

What is the final temperature of the water-iron mixture : A 24.7 g sample of pure iron at 61°C is dropped into 99 g of water at 25°C. What is the final temperature of the water-iron mixture?

How are the gradients of bcd and hb-m established : How are the gradients of BCD and HB-M established during early embryogenesis in Drosophila? What is the role of the cytoskeleton in this process?

Preparing financial statements of a company : Grayson Bank agrees to lend the Trust Company $100,000 on January 1. Trust Company signs a $100,000, 9%, 9-month note. What is the adjusting entry required if Trust Company prepares financial statements on June 30?

User Account

All Pages