Question

3. a. City Airlines is studying the weight of luggage for each passenger. For a large group of domestic passengers, the mean is 47kg with a standard deviation of 10kg. For a large group of overseas passengers, the mean is 78kg and the standard deviation is 15 kg. Compute the relative dispersion (using coefficient of variation) and comment of the difference in the relative dispersions. b. The Final grade of a statistics class is determined by a score from 0 to 100, which has three components: a class assignment component of 20%, a mid-semester exam that contribute 30% and a final exam that contribute 50%. Assume the assignment, mid-semester exams and the final exams are all marked over 100. If you got 75 points for assignments, 60 points for mid-semester and 85 points for the final exam. What would be your overall score for the statistics course? 4. A sociologist has been studying the criminal justice system in Sunyani. Among other things, she has found that over the last 5 years the length of time an arrested person must wait between their arrest and their trial is a normally distributed variable X with ? = 205 days and ? = 15 days. a) What percent of these people had their trial between 160 days and 190 days after their arrest? b) What is the probability that a person arrested waited for more than 200 days? 5. The processors of Fries' Catsup indicate on the label that the bottle contains 16 ounces of catsup. A sample of 49 bottles is selected hourly and the contents weighed. Last hour a sample of 49 bottles had a mean weight of 16.12 ounces with a standard deviation of .15 ounces. At 5% significance level; i) State the null hypothesis and the alternative hypothesis. ii) State the decision rule iii) At the .05 significance level is the process out of control?

          3.
a. City Airlines is studying the weight of luggage for each passenger. For a large group of domestic passengers, the mean is 47kg with a standard deviation of 10kg. For a large group of overseas passengers, the mean is 78kg and the standard deviation is 15 kg. Compute the relative dispersion (using coefficient of variation) and comment of the difference in the relative dispersions.

b. The Final grade of a statistics class is determined by a score from 0 to 100, which has three components: a class assignment component of 20%, a mid-semester exam that contribute 30% and a final exam that contribute 50%. Assume the assignment, mid-semester exams and the final exams are all marked over 100. If you got 75 points for assignments, 60 points for mid-semester and 85 points for the final exam. What would be your overall score for the statistics course?

4. A sociologist has been studying the criminal justice system in Sunyani. Among other things, she has found that over the last 5 years the length of time an arrested person must wait between their arrest and their trial is a normally distributed variable X with ? = 205 days and ? = 15 days.
a) What percent of these people had their trial between 160 days and 190 days after their arrest?

b) What is the probability that a person arrested waited for more than 200 days?

5. The processors of Fries' Catsup indicate on the label that the bottle contains 16 ounces of catsup. A sample of 49 bottles is selected hourly and the contents weighed. Last hour a sample of 49 bottles had a mean weight of 16.12 ounces with a standard deviation of .15 ounces. At 5% significance level;
i) State the null hypothesis and the alternative hypothesis.
ii) State the decision rule
iii) At the .05 significance level is the process out of control?

3.
a. City Airlines is studying the weight of luggage for each passenger. For a large group of domestic passengers, the mean is 47kg with a standard deviation of 10kg. For a large group of overseas passengers, the mean is 78kg and the standard deviation is 15 kg. Compute the relative dispersion (using coefficient of variation) and comment of the difference in the relative dispersions.

b. The Final grade of a statistics class is determined by a score from 0 to 100, which has three components: a class assignment component of 20%, a mid-semester exam that contribute 30% and a final exam that contribute 50%. Assume the assignment, mid-semester exams and the final exams are all marked over 100. If you got 75 points for assignments, 60 points for mid-semester and 85 points for the final exam. What would be your overall score for the statistics course?

4. A sociologist has been studying the criminal justice system in Sunyani. Among other things, she has found that over the last 5 years the length of time an arrested person must wait between their arrest and their trial is a normally distributed variable X with ? = 205 days and ? = 15 days.
a) What percent of these people had their trial between 160 days and 190 days after their arrest?

b) What is the probability that a person arrested waited for more than 200 days?

5. The processors of Fries' Catsup indicate on the label that the bottle contains 16 ounces of catsup. A sample of 49 bottles is selected hourly and the contents weighed. Last hour a sample of 49 bottles had a mean weight of 16.12 ounces with a standard deviation of .15 ounces. At 5% significance level;
i) State the null hypothesis and the alternative hypothesis.
ii) State the decision rule
iii) At the .05 significance level is the process out of control?

Added by Jonathan S.

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