Question

- 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 = 0.2 level of significance : Find the observed value of the test statistic.

3)If a significance level, not necessarily equal to the choice
of questions 1 and 2, is used when the decision on pooling is made
and pooling is found to be not appropriate: We wish to compare the
means of two populations at α = 0.1 level, testing: **Ho: μ1
= μ2 (against H1: μ1** **>**
**μ2)**. Find the observed value of the test
statistic.

Need an answer for 3.

Answer #1

as per your request i submit answer for part 3

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
a)In order to decide whether pooling is appropriate or not,
performing a test at α = 0.2 level of significance : Find the
rejection region.
b)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 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
a)In order to decide whether pooling is appropriate or not,
performing a test at α = 0.2 level of significance : Find the
rejection region.
b)In order to decide whether pooling is appropriate or not,
performing a test at α...

A sample of size 12, taken from a normally distributed
population has a sample mean of 85.56 and a sample standard
deviation of 9.70. Suppose that we have adopted the null hypothesis
that the actual population mean is equal to 89, that is, H0 is that
μ = 89 and we want to test the alternative hypothesis, H1, that μ ≠
89, with level of significance α = 0.1.
a) What type of test would be appropriate in this situation?...

A random sample of 49 measurements from one population had a
sample mean of 16, with sample standard deviation 3. An independent
random sample of 64 measurements from a second population had a
sample mean of 18, with sample standard deviation 4. Test the claim
that the population means are different. Use level of significance
0.01.
(a) What distribution does the sample test statistic follow?
Explain.
The Student's t. We assume that both population
distributions are approximately normal with known...

Using the following information:
For the first population: sample size of 30 taken from the
population, sample mean 1.32 , population variance 0.9734.
For the second population : sample size of 30 taken from the
population, sample mean 1.04,
population variance 0.7291.
Find a 90% confidence interval for the difference between the
two population means.

A random sample of
n1 = 49
measurements from a population with population standard
deviation
σ1 = 5
had a sample mean of
x1 = 11.
An independent random sample of
n2 = 64
measurements from a second population with population standard
deviation
σ2 = 6
had a sample mean of
x2 = 14.
Test the claim that the population means are different. Use
level of significance 0.01.
(a) Check Requirements: What distribution does the sample test
statistic follow? Explain....

A sample of size 234, taken from a normally distributed
population whose standard deviation is known to be 5.70, has a
sample mean of 75.54. Suppose that we have adopted the null
hypothesis that the actual population mean is greater than or equal
to 76, that is, H0 is that μ ≥ 76 and we want
to test the alternative hypothesis, H1, that μ
< 76, with level of significance α = 0.1.
a)
What type of test would
be...

A random sample of
n1 = 49
measurements from a population with population standard
deviation
σ1 = 5
had a sample mean of
x1 = 8.
An independent random sample of
n2 = 64
measurements from a second population with population standard
deviation
σ2 = 6
had a sample mean of
x2 = 11.
Test the claim that the population means are different. Use
level of significance 0.01.(a) Check Requirements: What
distribution does the sample test statistic follow? Explain.
The...

A random sample of
n1 = 49
measurements from a population with population standard
deviation
σ1 = 3
had a sample mean of
x1 = 13.
An independent random sample of
n2 = 64
measurements from a second population with population standard
deviation
σ2 = 4
had a sample mean of
x2 = 15.
Test the claim that the population means are different. Use
level of significance 0.01.
(a) Check Requirements: What distribution does the sample test
statistic follow? Explain....

(S 10.3) Suppose a random sample of size 15 is taken from a
normally distributed population, and the sample mean and variance
are calculated to be x¯=5.22 and s2=6.5respectively. Use this
information to test the null hypothesis H0:?=5versus the
alternative hypothesis HA:?<5, at the 10% level of significance.
What is the value of the test statistic, for testing the null
hypothesis that the population mean is equal to 5?____________
Round your response to at least 3 decimal places.

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