Suppose a population has a standard deviation of 6. You draw a random sample of size 97 and test the null hypothesis that the population mean is 95. If the true population mean is 97, what is the prob...
Suppose a population has a standard deviation of 6. You draw a random sample of size 97 and test the null hypothesis that the population mean is 95. If the true population mean is 97, what is the probability of making a Type 2 error? How large a sample size would you need to have power of 80% in a one-sided test?
Homework Answers
Add Answer to:
Suppose a population has a standard deviation of 6. You draw a random sample of size 97 and test the null hypothesis that the population mean is 95. If the true population mean is 97, what is the prob...
"Find the power of the test, when the Null Hypothesis assumes a population mean of Mu...
"Find the power of the test, when the Null Hypothesis assumes a population mean of Mu = 450, with a populaiion standard deviation of 156, the sample size is 5 and the true mean is 638.47 with confidence itnervals of 95%" "Find the power of the test, when the Null Hypothesis assumes a population mean of Mu = 644, with a populaiion standard deviation of 174, the sample size is 3 and the true mean is 744.04 with confidence itnervals...
"Find the power of the test, when the Null Hypothesis assumes a population mean of Mu...
"Find the power of the test, when the Null Hypothesis assumes a population mean of Mu = 450, with a populaiion standard deviation of 156, the sample size is 5 and the true mean is 638.47 with confidence itnervals of 95%" "Find the power of the test, when the Null Hypothesis assumes a population mean of Mu = 644, with a populaiion standard deviation of 174, the sample size is 3 and the true mean is 744.04 with confidence itnervals...
1. You want to test whether you can reject the null hypothesis that a population mean...
1. You want to test whether you can reject the null hypothesis that a population mean is greater than or equal to 10. To do this, you collect a random sample of size 500 from the population, and you calculate that the sample mean and sample standard deviation are 8.6 and s, respectively. Which of the following is true? a. If s is any value between 11 and 13, you can reject the null hypothesis at the 5% significance level....
Assignment 2 Consider weights of all NBA players. Assume that we want to test the hypothesis...
Assignment 2 Consider weights of all NBA players. Assume that we want to test the hypothesis that the average weight of the population of all players is 225 lbs, against the alternative hypothesis that the average weight is less that 225 lbs. Assume also that the population standard deviation of player weights is 26 lbs. Let the probability of making a type I error (a) be 0.05. What size random sample would be necessary if we want the probability of...
You set up a two-sided hypothesis test for a population mean μ with a null hypothesis...
You set up a two-sided hypothesis test for a population mean μ with a null hypothesis of H0:μ=100. You chose a significance level of α=0.05. The p-value calculated from the data is 0.12, and hence you failed to reject the null hypothesis. Suppose that after your analysis was completed and published, an expert informed you that the true value of μ is 104. How would you describe the result of your analysis? A) A Type 1 error was made because...
Q. If the population mean is 310, sample mean is 295, sample's standard deviation is 55, what is ...
Q. If the population mean is 310, sample mean is 295, sample's standard deviation is 55, what is the power of the test (representing Type II error) for a sample size of 20? Apply the Type II error analysis with the operation curve below, and find out the power of the test? Does it match with the value you got from above? 1.0 0.8 0.6 0.4 0.2
Q. If the population mean is 310, sample mean is 295, sample's standard...
Suppose a random variable has population mean -147 and population standard deviation 34.50. What is the...
Suppose a random variable has population mean -147 and population standard deviation 34.50. What is the lower and upper values of the probability interval containing 95% of the sample means of sample size n = 112? Lower = Upper = (Round to 3 decimal places.)
1. Suppose you have a sample of size 100 with mean 5 and standard deviation 2....
1. Suppose you have a sample of size 100 with mean 5 and standard deviation 2. Construct a 95% confidence interval for the population mean. 2. For a random sample of 50 measurements on the breaking strength of cotton threads, the mean breaking strength was found to be 210 grams and the standard deviation 18 grams. Calculate a 90% confidence interval for the true mean breaking strength of cotton threads of this type.
Suppose the null hypothesis is Ho : µ = 500 against Ha : > µ =...
Suppose the null hypothesis is Ho : µ = 500 against Ha : > µ = 500 , and the significance level for this testing is 0.05. The population in question is normally distributed with standard deviation 100. A random sample of size n=25 will be used. If the true alternative mean is 550, then the probability of committing the type II error is ____.
3. Testing a population mean The test statistic (Chapter 11) Aa Aa You conduct a hypothesis...
3. Testing a population mean The test statistic (Chapter 11) Aa Aa You conduct a hypothesis test about a population mean u with the following null and alternative hypotheses: Ho: u-25.8 H1: <25.8 Suppose that the population standard deviation has a known value of a observations, which provides a sample mean of % 30.7. 17.8. You obtain a sample of n =62 Since the sample size large enough, you assume that the sample mean X follows a normal distribution. Let...
Assignment 2 Consider weights of all NBA players. Assume that we want to test the hypothesis that the average weight of the population of all players is 225 lbs, against the alternative hypothesis that the average weight is less that 225 lbs. Assume also that the population standard deviation of player weights is 26 lbs. Let the probability of making a type I error (a) be 0.05. What size random sample would be necessary if we want the probability of...
Q. If the population mean is 310, sample mean is 295, sample's standard deviation is 55, what is the power of the test (representing Type II error) for a sample size of 20? Apply the Type II error analysis with the operation curve below, and find out the power of the test? Does it match with the value you got from above? 1.0 0.8 0.6 0.4 0.2
Q. If the population mean is 310, sample mean is 295, sample's standard...
3. Testing a population mean The test statistic (Chapter 11) Aa Aa You conduct a hypothesis test about a population mean u with the following null and alternative hypotheses: Ho: u-25.8 H1: <25.8 Suppose that the population standard deviation has a known value of a observations, which provides a sample mean of % 30.7. 17.8. You obtain a sample of n =62 Since the sample size large enough, you assume that the sample mean X follows a normal distribution. Let...
Most questions answered within 3 hours.
-
In winter a lake has a 0.35 m thick ice layer over 1.10 m of
water....
asked 51 minutes ago -
Assuming the following has been encrypted with a Vigenere cipher
below, use the method(s) and assumptions...
asked 1 hour ago -
How would I use switch statements to write a program that will
take an input of...
asked 1 hour ago -
Imagine a reaction in which methane gas combusts at a constant
pressure of 1 atm and...
asked 1 hour ago -
Two parallel wires (each 12 m in length) are separated by a
distance of 0.065 m...
asked 1 hour ago -
Suppose there were three masses at the corner of uniform
equilateral triangle. The masses are m1...
asked 1 hour ago -
Situation: A building that is 618 m above the ground floor. How
many times would a...
asked 1 hour ago -
help me and discuss one successful and one
unsuccessful international company/busines in Indonesia.whyit
succeed and why...
asked 1 hour ago -
I- Choose the best answer
Which of the following statements about the structure and
packaging of...
asked 1 hour ago -
1. A sample of 144 incoming freshman found that 45 of them
scored more than 550...
asked 1 hour ago -
Kc is 2.35 × 1018 at 25 °C for the formation of iron(III)
oxalate complex ion....
asked 1 hour ago -
Team Values – Discuss as a team what values are important.
Develop a statement or itemised...
asked 1 hour ago