
from above p value =0.0008 (from excel: 2*(1-normsdist(3.33)) function)
since p value is significantly low, we reject null hypothesis
we have sufficient evidence to conclude that mean of two populations are not equal.
mark (2) Q3.5. (based on Problem 10.30; page 357) A random sample of size ni =...
A random sample of size ni = 30 yields a standard deviation of 8.5, and a random sample of size n2 = 31 yields a standard deviation of 6.6. At a = 0.01, test the claim that the standard deviation of Population 1 is not the standard deviation of Population 2. 1. The alternate hypothesis is Ha: Oo o 0917 02 Os s Osi #s2 2. This is a two tailed test with: dfn= and dfa - 3a. The STS...
Consider this experiment: A random sample of size n1 = 16 is selected from a normal population with a mean of 75 and a standard deviation of 8. A second random sample of size n2 = 9 is taken from another normal population with an unknown mean and a standard deviation of 12. Assume the two samples are independent. Let x̄1 and x̄2 be the sample means. In each run of the experiment, you compare the two sample means by taking...
A random sample of size n = 21, taken from a normal population with a standard deviation 04 =5, has a mean X4 = 90. A second random sample of size n2 = 37, taken from a different normal population with a standard deviation o2 = 4, has a mean X2 = 39. Find a 94% confidence interval for 11 - H2 Click here to view page 1 of the standard normal distribution table. Click here to view page 2...
(2 Points) A random sample of size n = 25 is taken from a population with mean u = 530 and standard deviation o = 100. Then the sampling distribution of the sample mean X has normal distribution with mean 530 and standard deviation 20 has normal distribution with mean 530 and standard deviation 100 has normal distribution with mean 530 and standard deviation 2 has normal distribution with mean 530 and standard deviation 4
A random sample of size 36 is to be taken from a population that is normally distributed with mean 60 and standard deviation 18. The sample mean of the observations in our sample is to be computed. The sampling distribution of the sample mean is Select one: . a. normal with mean 36 and standard deviation 18. O b. normal with mean 60 and standard deviation 0.5. c. normal with mean 60 and standard deviation 3. d. normal with mean...
A random sample of n1=16 is selected from a normal population with a mean of 74 and a standard deviation of 7. A second random sample of size n2=8 is taken from another normal population with mean 69 and standard deviation 14. Let X1 and X2 be the two sample means. Find: (a) the probability that X1-X2 exceeds 4. (b) the probability that 4.0 = X1-X2 = 5.1.
Suppose that a simple random sample is taken from a normal population having a standard deviation of 11 for the purpose of obtaining a 95% confidence interval for the mean of the population. a. If the sample size is 16, obtain the margin of error. b. Repeat part (a) for a sample size of 81. a. The margin of error for a sample size of 16 is ??? (Round to two decimal places as needed.) b. The margin of error...
Suppose that a simple random sample is taken from a normal population having a standard deviation of 6 for the purpose of obtaining a 90% confidence interval for the mean of the population. The margin of error for a sample size of 16 is ??? (Round to four decimal places as needed.) The margin of error for a sample size of 81 is ??? (Round to four decimal places as needed.)
A random sample of size 36 is taken from a population with a mean of 50 and a standard deviation of 5. The sampling distribution of ________. A. cannot be determined B. is skewed to the right C. is skewed to the left D. is approximately normal
5. Do you agree with the first three statements below? If yes, justify briefly. If not, correct it. For the last part, describe in a paragraph. If X is the mean of a random sample of size n froma population with the mean μ and the variance σ2, then its sampling distribution is a normal with the mean μ and the variance σ-, Agree Disagree If S2 is the variance of a random sample of size n taken from any...