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Unformatted text preview: Quiz 7 Solutions Course: Stat 231 Term: Spring 2010 Instructor: Dr. Jock MacKay Prepared by: Murshid Kuttihassan 1. The value θ = 0 . 30 is outside the 10% likelihood interval. Answer: False To obtain the 10% likelihood interval pick the point y = 0 . 1 on the Y axis and draw a line parallel to the X axis through this point. This line will intersect the likelihood graph at two points. From each of these points draw a vertical line to the X axis. The interval on the X axis between the points where these vertical lines meet the X axis is the 10% likelihood interval. Observe that the point on the X axis with x = 0 . 3 is inside this interval. Hence the statement that ”the value θ = 0 . 30 is outside the 10% likelihood interval.” is False. 2. The probability that θ is in the 15% likelihood interval is approximately 0.95. Answer: False We do not know anything about the distribution of θ . Hence we can not talk about the probability of θ being in any interval. In general, we cannot make a probability statement about a parameter unless we are in a bayesianin any interval....
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 Spring '10
 McKay
 Normal Distribution, Variance, probability density function, Likelihood function, likelihood interval

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