HW 8 Solution

HW 8 Solution - STAT 350 Assignment 8 Solutions (60 points)...

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STAT 350 Assignment 8 Solutions (60 points) 1. (5 points = 0.5 each) (a) Yes, > 100 is a statement about a population standard deviation, i.e., a statement about a population parameter. (b) No, this is a statement about the statistic x , not a statement about a population parameter. (c) Yes, this is a statement about the population median ~ . (d) No, this is a statement about the statistic s (s is the sample , not population, standard deviation. (e) Yes, the parameter here is the ratio of two other parameters; i.e, 1 / 2 describes some aspect of the populations being sampled, so it is a parameter, not a statistic. (f) No, saying that the difference between two samples means is -5.0 is a statement about sample results, not about population parameters. (g) Yes, this is a statement about the parameter of an exponential population. (h) Yes, this is a statement about the proportion of successes in a population. (i) Yes, this is a legitimate hypothesis because we can make a hypothesis about the population distribution [see (4) at the beginning of this section]. (j) Yes, this is a legitimate hypothesis. We can make a hypothesis about the population parameters [see (3) at the beginning of this section]. 10. (3 points = 0.5 each) (a) H 0 should not be rejected, since p-value = .084 > = .05. (b) H 0 should not be rejected, since p-value = .003 > = .001. (c) H 0 should be rejected, since p-value = .048 < = .05. (d) H 0 should be rejected, since p-value = .084 < = .10. (e) H 0 should not be rejected, since p-value = .039 > = .01. (f) H 0 should be rejected, since p-value = .017 < = .10. 12. (4 points = 1 each) (a) 87 . 2 50 06 . 1 34 43 . 34 z So, p-value = 2P(z > |2.87|) = 2(.0021) = .0042 [Note: Since H a is a two-tailed test, the p-value is the sum of the area in the two tails. That is, p-value = P(z < -2.87) + P(z > 2.87) = 2P(z > 2.87)] (b) 87 . 2 50 06 . 1 34 57 . 33 z So, p-value = 2P(z >| -2.87|) = 2(.0021) = .0042 (c) 24 . 2 32 89 . 1 34 25 . 33 z So, p-value = 2P(z >| -2.24|) = 2(.0125) = .025 (d) 57 . 1 36 53 . 2 34 66 . 33 z So, p-value = 2P(z > |1.57|) = 2(.0582) = .1164
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HW 8 Solution - STAT 350 Assignment 8 Solutions (60 points)...

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