Question

Section 2: (50%) Round your answer to 2 decimal places LA University reported the number of beers a student drinks and his or her blood alcohol content (BAC). A random sample of 10 students participated in a study. The sample information is reported below. Student Beers BAC BAC Student Beers Charles 0.10 Jaime 0.07 9. 3. Ellis 0.05 Shannon 60'0 3. Harriet 0.08 60'0 0.10 Nellie Marlene Jeanne 0.04 4. Tara 0.10 Mike 4 0.07 What are the best estimate value points of population means for the number of beers a student drinks and his or her BAC? (2 points) 1) 2) Develop a 90% confidence interval for the population mean for the number of beers a student drinks. (4 points) 3) Would it be reasonable to conclude that the population mean for the number of beers a student drinks is 2? What about 5? Why? (3 points)

Answer 1

1) The point estimate for Beers = (6+7+7+4+5+3+3+7+1+4)/10 = 4.7

The point estimate for BAC = (0.1+0.09+0.09+0.1+0.1+0.07+0.05+0.08+0.04+0.07)/10 = 0.08

2) Standard deviation for Beers = 2.06

The 90% confidence interval is:

= x +- t*(s/sqrt(n))

= 4.7 +- 1.83*(2.06/sqrt(10))

= 3.51, 5.89

3) The population mean can be any number since it is not mentioned if the population is normally distributed.

If the population is normally distributed, then the population mean can be 5.

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