Question
In: Statistics and Probability
A sample of size 81 is taken from a population with unknown mean and standard deviation...
A sample of size 81 is taken from a population with unknown mean and standard deviation 4.5.
In a test of H0: μ = 5 vs. Ha: μ < 5, if the sample mean was 4, which of the following is true?
(i) We would fail to reject the null hypothesis at α = 0.01.
(ii) We would fail to reject the null hypothesis at α = 0.05.
(iii) We would fail to reject the null hypothesis at α = 0.10.
Solutions
orchestra answered 1 year agoRelated Solutions
A simple random sample of 81 is selected from a population with a standard deviation of...
A simple random sample of 81 is selected from a population with
a standard deviation of 17. The degree of confidence is 90%. What
is the margin of error for the mean?
14. A sample of size 144 is taken from a population with an unknown distribution. It...
14. A sample of size 144 is taken from a population with an
unknown distribution. It is known that the population distribution
has mean 32 and standard deviation 15.
(A)What is the distribution of the sample means x̄ ? Justify
your reasoning and be sure to completely specific the distribution
by stating values of the appropriate parameters.
(B) Compute P( x̄ ≥ 34). You may only use the z-score approach
and the probabilities provided in Table A.
(C) How large...
Random sample of size n=19 is taken from a Normal population, sample mean is 11.5895, standard...
Random sample of size n=19 is taken from a Normal population,
sample mean is 11.5895, standard deviation is 1.0883.
1. At the 2% level, test whether it is reasonable to believe
that the true population variance is larger than 1.
Using the scenario from above, do the following
2. Derive the power function. Show your work.
3. Using R, graph the power function for 0.5 < sigma^2 <
3.5.
4. Pretend that the sample size was actually 56. Plot this...
For a normal population with a mean equal to 81 and a standard deviation equal to...
For a normal population with a mean equal to 81 and a standard
deviation equal to 18, determine the probability of observing a
sample mean of 87 or less from a sample of size 13.
Assuming the sample size is 30, the sample mean (X) is 24.75, the population standard deviation...
Assuming the sample size is 30, the sample mean (X) is
24.75, the population standard deviation (σ) is 5, a 95% confidence
interval for the population mean would have lower bound of
_________________ and upper bound of _______________________.
Sample size = 10. Population is normal. The sample mean is 1.3 million. Sample standard deviation...
Sample size = 10. Population is normal. The sample mean is 1.3
million. Sample standard deviation is 0.9million. Alpha ( level of
significance) is 1%. Ho: Mu > or equal to 1.5 million Ha: Mu<
1.5 million a. What is the critical value? B. What is the test
statistics t score? C . Do you reject or accept the null
hypothesis?
A sample of size 10 is taken from the first population: Sample mean of 101.2 and...
A sample of size 10 is taken from the first population: Sample
mean of 101.2 and sample variance of 18.1
A sample of size 14 is taken from the second population: Sample
mean of 98.7 and sample variance of 9.7
1)In order to decide whether pooling is appropriate or not,
performing a test at α = 0.2 level of significance : Find the
rejection region.
2)In order to decide whether pooling is appropriate or not,
performing a test at α...
A sample of size 10 is taken from the first population: Sample mean of 101.2 and...
A sample of size 10 is taken from the first population: Sample
mean of 101.2 and sample variance of 18.1
A sample of size 14 is taken from the second population: Sample
mean of 98.7 and sample variance of 9.7
1)In order to decide whether pooling is appropriate or not,
performing a test at α = 0.2 level of significance : Find the
rejection region.
2)In order to decide whether pooling is appropriate or not,
performing a test at α...
A sample of size 10 is taken from the first population: Sample mean of 101.2 and...
A sample of size 10 is taken from the first population: Sample
mean of 101.2 and sample variance of 18.1
A sample of size 14 is taken from the second population: Sample
mean of 98.7 and sample variance of 9.7
1)In order to decide whether pooling is appropriate or not,
performing a test at α = 0.2 level of significance : Find the
rejection region.
2)In order to decide whether pooling is appropriate or not,
performing a test at α...
9. If a sample of size 64 is drawn from a population with a standard deviation...
9. If a sample of size 64 is drawn from a population with a
standard deviation of 80,
the standard deviation of sample means would equal _______.
A. 10.000
B. 1.250
C. 0.125
D. 0.800
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