Question: Our lesson is about Normal Distribution, Central Limit Theorem and Linear Regression. Can you help me understand this homework? A survey conducted in Asia with

Our lesson is about Normal Distribution, Central Limit Theorem and Linear Regression. Can you help me understand this homework?

A survey conducted in Asia with a sample of 350 with a sample of 350 gasoline stations found that the price charged per liter of a gasoline is normally distributed with a mean of $49.50 and a standard deviation of $2.75. Using the empirical rule, determine the number of stations that charge between $46.75 and $52.25 .

2. The mean grade in a Physics examination was 73 and the standard deviation was 8. Determine the following:

a. The standard scores (z-value) corresponding to a grade of 86.

b. The grade of the student whose standard score is -0.8.

3. Find the mean and the standard deviation of the heights of male engineering students in which the heights 66 inches and 75 inches correspond to standard scores of -0.6 and 1.1, respectively.

4. A traffic study of 1,600 vehicles that passed by a checkpoint showed that their speeds were normally distributed with a mean of 97.6 kph a standard deviation of 10.4 kph. How many vehicles had a speed of more than 100 kph?

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