Discuss the below:
Q: In a college bulletin, it is stated that the weights of the male students are normally distributed with mean µ=165lb and a standard deviation σ= 16lb. a research student decided to verify the claim of the school by taking a sample of 64 students. The average weight of the sampled student is 170lb. test the hypothesis:
Ho: µ=165lb
Ha: µ ≠165lb
Using (1) α = 5% level of significance (2) α= 1% level of significance
Suppose the temperature during June is normally distributed with mean µ=20°C and standard deviation σ = 3.33 deg. A is the event that temperature is between 21.11°C and 26.66°C. B is the event that temperature is over 25°C. Event C is that temperature is below freezing point. Find the following probabilities:(a) P(A)
(b) P(A and B)
(c) P(C)
(d) P(C given B)
(e) P(neither A nor B)
(f) Find the expected number of days in June when event B will occur.
Table for Hypothesis Testing
|
Level of Significance α
|
0.10
|
0.05
|
0.01
|
0.005
|
0.002
|
|
Critical Values of z for One-Trailed Tests
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-1.28 or 1.28
|
-1.645 or 1.645
|
-2.33 or 2.33
|
-2.58 or 2.58
|
-2.88 or 2.88
|
|
Critical Values of z for Two-Trailed Tests
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-1.645 and 1.645
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-1.96 and 1.96
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-2.58 and 2.58
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-2.81 and 2.81
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-3.08 and 3.08
|