The following data are the number of tons shipped weekly across the pacific by a shipping company:

398, 412,560, 476, 544, 690, 587, 600, 613, 457, 504, 477, 530, 641, 359, 566, 452, 633, 474, 499, 580, 606, 344, 455, 505, 396, 347, 441, 390, 632, 400, 582.

Assume these data represent an entire population, what is the population mean, and the population standard deviation.

2. Charles is deciding which courses he wants to take in his next semester. The probability that he enrolls in an Algebraic course is 0.3 and the probability that he enrolls in a Biology course is 0.7. The probability that he enrolls in an Algebraic course given that he enrolls in a Biology course is 0.4.

Required:

a. What is the probability that he enrolls in both Algebraic and Biology course

b. What is the probability that he will enroll in an Algebraic course or a Biology course

c. Are the two events in a and b independent

d. Are the two events in a and b mutually exclusive

3. The average test scores in a statistics class are manually distributed with a standard deviation of 6.5, 100 scores with a sample mean of 82 were selected at random.

a. Find a 90% confidence interval for the population mean exam score

b. What is the value of the margin of error

4. Discuss the differences between Confidence Interval (CI) and Confidence Level (CL) fw