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:
75% of college students exceed 6.63 minutes when trying to find a parking spot.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 10 minutes
Standard Deviation, σ = 5 minutes
We are given that the distribution of time for parking is a bell shaped distribution that is a normal distribution.
Formula:
P(X < x) = 0.25
We have to find the value of x such that the probability is 0.25.
P(X < x)
Calculation the value from standard normal z table, we have,
Hence, 75% of college students exceed 6.63 minutes when trying to find a parking spot.