Q1:

Homeowners claim that the mean speed of automobiles travelling on the street is AT LEAST 35 miles per hour. They are demanding the creation of bumps on the road. This will cost the county $100,000. As the county inspector you want to be sure it is worth the money so you randomly sample of 100 automobiles and derive a mean speed of 36 miles per hour and a population standard deviation of 4 miles per hour. Is there enough evidence to support their claim at alpha = 0.05?

-State Ho and Ha-

-What kind of test is it?

What is the p-value?

- Interpret the results

Q2:

Find probability of being given at least 500 mg of vitamin C ( For Q2 question please refer to attached photo below, thanks.

2} A study was conducted to determine the effectiveness of varying amounts of vitamin C in reducing the numbe|r of common colds. it survey of 450 people provided the following information: Daily amount of vitamin C taken None 50G mg 1000 mg No colds 57 26 1? At least 223 34 43 one cold