Q 54. Conceptual Questions: Answer each of the following questions in as plain En- glish as possible (as you would to a non-statistician / non-mathematician). Your answers don't need to be long. a) Explain the difference between these two statistical concepts: "Independent events" and "Mutually Exclusive events". Your answer should be in words (no diagrams/graphs/forumulae) and should be a max- imum of two sentences long. b) A 95% confidence interval for a population mean is calculated as (4.36, 9.21). A student interprets this as: “There is a 95% probability that the population mean is between 4.36 and 9.21." Is the student's interpretation correct? Answer 'YES' or 'NO'. • If 'YES', explain why the interpretation is correct. • If 'NO', explain what is wrong with the student's answer and then explain what the correct interpretation of the '95%' is. c) Studies have shown that there is a high positive correlation between height and weight. Sam is tall, over 1.9m (which is 6 ft 2 inches). Does that imply that he is heavier than average? Justify.

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Q 54. Conceptual Questions: Answer each of the following questions in as plain En-
glish as possible (as you would to a non-statistician / non-mathematician). Your answers
don't need to be long.
a) Explain the difference between these two statistical concepts: "Independent events"
and "Mutually Exclusive events".
Your answer should be in words (no diagrams/graphs/forumulae) and should be a max-
imum of two sentences long.
b) A 95% confidence interval for a population mean is calculated as (4.36, 9.21). A student
interprets this as: “There is a 95% probability that the population mean is between
4.36 and 9.21." Is the student's interpretation correct? Answer 'YES' or 'NO'.
• If 'YES', explain why the interpretation is correct.
• If 'NO', explain what is wrong with the student's answer and then explain what
the correct interpretation of the '95%' is.
c) Studies have shown that there is a high positive correlation between height and weight.
Sam is tall, over 1.9m (which is 6 ft 2 inches). Does that imply that he is heavier than
average? Justify.
Transcribed Image Text:Q 54. Conceptual Questions: Answer each of the following questions in as plain En- glish as possible (as you would to a non-statistician / non-mathematician). Your answers don't need to be long. a) Explain the difference between these two statistical concepts: "Independent events" and "Mutually Exclusive events". Your answer should be in words (no diagrams/graphs/forumulae) and should be a max- imum of two sentences long. b) A 95% confidence interval for a population mean is calculated as (4.36, 9.21). A student interprets this as: “There is a 95% probability that the population mean is between 4.36 and 9.21." Is the student's interpretation correct? Answer 'YES' or 'NO'. • If 'YES', explain why the interpretation is correct. • If 'NO', explain what is wrong with the student's answer and then explain what the correct interpretation of the '95%' is. c) Studies have shown that there is a high positive correlation between height and weight. Sam is tall, over 1.9m (which is 6 ft 2 inches). Does that imply that he is heavier than average? Justify.
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