Question

The California Highway patrol has asked you to assess whether drivers are exceeding the 65-mph speed limit on Route 15 during the hours of 1 a.m. and 6 a.m. The enclosed spreadsheet represents a simple random sample of 20 car speeds that you collected during this time interval. Test the claim at the 2 % significance level that the average speed of drivers exceeds the 65mph speed limit between the hours 1 am and 6 am. 1. What is the claim? 2. Construct the hypothesis test 3. Are the requirements for the test satisfied? Explain 4. What is the Test statistic? 5. What is the pvalue? 6. What is the statistical conclusion? 7. State the conclusion in simple English

Speed Route 15
82.13849729
83.99654129
81.19263582
74.76087253
79.07474363
72.1207871
78.40394271
76.59030389
85.80083485
84.52807426
74.7989825
86.63755069
82.14405651
69.90877869
78.40612173
92.34822469
78.72633085
79.1633517
79.41771918
80.29009006
80.61450955
73.51991359
88.14033713
82.83177101
83.16030914

Answer 1

a)Test the claim at the 2 % significance level that the average speed of drivers exceeds the 65mph speed limit between the hours 1 am and 6 am.

b)

H0: the average speed of drivers not exceeds the 65mph speed limit between the hours 1 am and 6 am.

H1: the average speed of drivers exceeds the 65mph speed limit between the hours 1 am and 6 am.

c) Yes, the regrequirements for the test satiesfied

d)From the givend ata

Descriptive Statistics: SPeed Route15 Total Variable SPeed Route15 25 25 0 80.35 5.16 26.65 Count N N Mean StDev Variance

Test Statistic under Ho 80.35-65 5.16/20 13.3037

5. P-Value: 0.0000

6. Here P-value < alpha 0.02, so we reject H

7.Thus we conclude that the average speed of drivers exceeds the 65mph speed limit between the hours 1 am and 6 am.