Question

To obtain the power of the binomial test, we must find P=P(x)>75) when Mean =75.8. If...

To obtain the power of the binomial test, we must find P=P(x)>75) when Mean =75.8. If X has a Laplace distribution with mean and standard deviation s, then (x-m)/s has the standard form of the Laplace distribution given in Table 0.2.1. For x<m. It can be shown that

P(X>x) = .5 +.5 (1-e-Ö2ôx-mô¤s)

Applying this formula to our example, we find P=P(X>75)+.682. From the formula for the power of the binomial test in the power computation of a normal distribution, we find that the power is .76. Thus, the form of the distribution of the population can greatly affect the relative power of two tests.

Refer to Section 1.3.3 in the Higgins book. No computations are required to answer the following questions.

What is the value of the power of the binomial test when μ = 75? (1 point)

What happens to the power as μ gets large? (1 point)

How does increasing the sample size affects the power of the binomial test? (1 point) :The following is the information from the Higgins book:

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the mean for the values of n and p when the conditions for the binomial...
Find the mean for the values of n and p when the conditions for the binomial distribution are met.    n = 100, p = 0.4 24 40 4.9 60 and Which is a probability distribution? X 1 2 3 4 5 P(X) 1/20 2/20 3/20 4/20 5/20 X 2 4 6 8 15 P(X) 1/19 3/19 4/19 4/19 7/19 X 1 2 3 4 5 P(X) 1/10 1/10 1/10 1/10 1/10 None of the above
i) A random variable X has a binomial distribution with mean 6 and variance 3.6: Find...
i) A random variable X has a binomial distribution with mean 6 and variance 3.6: Find P(X = 4). ii) Let X equal the larger outcome when a pair of four-sided dice is rolled. The pmf of X is f(x) = (2x - 1/ 16) ; x = 1; 2; 3; 4. Find the mean, variance and standard deviation of X. iii) Let μ and σ^2 denote the mean and variance of the random variable able X. Determine E [(X...
Suppose that a random variable X has a binomial distribution with n=2, p=0.5. Find the mean...
Suppose that a random variable X has a binomial distribution with n=2, p=0.5. Find the mean and variance of Y = X2
Find the mean, μ, and standard deviation, σ, for a binomial random variable X. (Round all...
Find the mean, μ, and standard deviation, σ, for a binomial random variable X. (Round all answers for σ to three decimal places.) (a) n = 45, p = .50. μ = σ = (b) n = 1, p = 0.25. μ = σ = (c) n = 100, p = 0.75. μ = σ = (d) n = 30, p = .01. μ = σ =
We are testing the hypothesis H0:p=.75 Ha:p<.75 for the # the proportion of people who find...
We are testing the hypothesis H0:p=.75 Ha:p<.75 for the # the proportion of people who find an enrollment website “easy to use.” The test will be based on a simple random sample of size 400 and at a 1% level of significance. Recall that the sample proportion vary with mean p and standard deviation = sqroot( p(1-p)/n) You shall reject the null hypothesis if The P_value of the test is less than 0.01 a) Find the probability of a type...
This week we study Normal Distribution. Part 1. Demonstrate that you understand basic concept of Normal...
This week we study Normal Distribution. Part 1. Demonstrate that you understand basic concept of Normal Distribution. In two small paragraphs describe a couple of properties/rules of Normal distribution. Give one example of some practical case where we can use Normal distribution (for instance, IQ scores follow a normal distribution of probabilities with the mean IQ of 100 and a standard deviation around the mean of about 15 IQ points.) Part 2. Assign your numbers for mean μ and standard...
Find the exact solution(s) to the equation: 17x2=1720−x17x2=1720-x x=x= The polynomial P(x)P(x) of degree 4 has...
Find the exact solution(s) to the equation: 17x2=1720−x17x2=1720-x x=x= The polynomial P(x)P(x) of degree 4 has a root of multiplicity 2 at x = 4 a root of multiplicity 1 at x = 0 and at x = -3 It goes through the point (5, 12) Find a formula for P(x)P(x). Leave your answer in factored form. P(x)=P(x)=
Find test statistic and P VALUE and make conclusion for PROPORTION: x=35, n=200, Ho: p=25%, H1:...
Find test statistic and P VALUE and make conclusion for PROPORTION: x=35, n=200, Ho: p=25%, H1: p<25%, confidence level=0.05 Find test statistic and P VALUE and make conclusion for MEAN: x̄=37, s=10.2, n=30, Ho: μ=32, H1: μ≠32, confidence level=0.01 Find test statistic AND P VALUE and make conclusion for TWO PROPORTIONS: x1 = 6, n1 = 315, x2 = 80, n2 = 320, Ho: p1 = p2, HA: p1 < p2, α = 0.1
A random survey of 75 death row inmates revealed that the mean length of time on...
A random survey of 75 death row inmates revealed that the mean length of time on death row is 17.3 years with a standard deviation of 6.5 years. Conduct a hypothesis test to determine if the population mean time on death row could likely be 15 years. part a.) find: x, s, n part b.) State the distribution to use for the hypothesis test. (Enter your answer in the form z or tdf where df is the degrees of freedom.)...
1.Let X be a binomial random variable with mean 9 and variance 4.5. Find P(X =...
1.Let X be a binomial random variable with mean 9 and variance 4.5. Find P(X = 9). ( ) 2.,A wildlife biologist examines frogs for a genetic trait that may possibly be linked to industrial toxins in the environment. This trait is usually found in 1 of every 7 frogs, so the prevalence is 0.143. A sample of 92 frogs are collected and examined.  (Enter all probabilities with 3 decimal points.) What is the probability that at least 9 frogs in...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT