1. The level of significance should be determined based on the observed data. Tr
ID: 3155211 • Letter: 1
Question
1. The level of significance should be determined based on the observed data. True or False? Why?
2. Mark obtained a p-value of 0.06. In order to establish the desirable result he wanted (i.e., reject H0), he set = 0.1 instead of = 0.05. What Mark did was legitimate. True or False? Why?
3. If H0 : µ 10 is true, observing X <¯ 5 is less plausible than observing X <¯ 6. True or False? Why?
4.To test H0 : µ 10 with an observed sample mean X¯ = 11, the p-value is “the probability of X¯ 11 given µ = 10”. True or False? Why?
5. To test H0 : µ = 0 with an observed sample mean X¯ = 2, the p-value is “the probability of X¯ 2 given µ = 0”. True or False? Why?
Explanation / Answer
1.
The level of significance should be fixed by reseacher. So given statement is false.
3.
True.
Because popualtion mean is greater than equal to 10 and sample mean 6 is nearer to 10 in comparison to sampel mean 5.
4.
False
the p-value is “the probability of X¯ < 11 given µ = 10”
5.
False
the p-value is “2 times the the probability of X¯ > 2 given µ = 0”
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