Consider the hypothesis test H0: μ1= μ2 against H1: μ1.Suppose that the sample sizes aren1 = 15 and n2 =μ2. Assume thatσ21 = σ22
andthat the data are drawn from normal distributions. Use α =0.05.
(a) Test the hypothesis and find the P-value.
(b) Explain how the test could be conducted with a confidenceinterval.
(c) What is the power of the test in part (a) for a truedifference in means of 3?
(d) Assuming equal sample sizes, what sample size should beused to obtain β = 0.05 if the true difference in means is -2?Assume that α = 0.05.
(a) Test the hypothesis and find the P-value.
(b) Explain how the test could be conducted with a confidenceinterval.
(c) What is the power of the test in part (a) for a truedifference in means of 3?
(d) Assuming equal sample sizes, what sample size should beused to obtain β = 0.05 if the true difference in means is -2?Assume that α = 0.05.
1 answer:
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Answer:
x = 14.7
Step-by-step explanation:
Using the sine rule
Substitute the given values.
Rearrange the equation to get x on it's own.
x = 14.72246211
x = 14.7 (1dp)
Answer:
Step-by-step explanation:
Given that two fair dice, one blue and one red, are tossed, and the up face on each die is recorded.
a) P(E) = P(the difference of the numbers is 3 or more}
Favourable events are (1,4) (1,5)(1,6) (2,5) (2,6) (3,6) (4,1) (5,1) (5,2) (6,1) (6,2)(6,3)
P(E) =
b)P(F)
Favourable events for F = (1,1) (2,2)...(6,6)
P(F) =
c) P(EF)
There is no common element between E and F
P(EF) =0