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No Left Turn An experiment was conducted to compare the mean reaction times to two types of traffic… 1 answer below »

No Left Turn An experiment was conducted to compare the mean reaction times to two types of traffic signs: prohibitive (No Left Turn) and permissive (Left Turn Only). Ten drivers were included in the experiment. Each driver was presented with 40 traffic signs, 20 prohibitive and 20 permissive, in random order. The mean time to reaction and the number of correct actions were recorded for each driver. The mean reaction times (in milliseconds) to the 20 prohibitive and 20 permissive traffic signs are shown here for each of the 10 drivers:

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Driver

Prohibitive

Permissive

1

824

702

2

866

725

3

841

744

4

770

663

5

829

792

6

764

708

7

857

747

8

831

685

9

846

742

10

759

610

a. Explain why this is a paired-difference experiment and give reasons why the pairing should be useful in increasing information on the difference between the mean reaction times to prohibitive and permissive traffic signs.

b. Do the data present sufficient evidence to indicate a difference in mean reaction times to prohibitive and permissive traffic signs? Use the p-value approach.

c. Find a 95% confidence interval for the difference in mean reaction times to prohibitive and permissive traffic signs.

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