Question
In: Math
The null and alternate hypotheses are: H0: μ1 ≤ μ2 H1: μ1 > μ2 A...
| The null and alternate hypotheses are: |
| H0: μ1 ≤ μ2 |
| H1: μ1 > μ2 |
|
A random sample of 26 items from the first population showed a mean of 114 and a standard deviation of 9. A sample of 15 items for the second population showed a mean of 99 and a standard deviation of 7. Assume the sample populations do not have equal standard deviations. |
| a. |
Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.) |
| Degrees of freedom |
| b. | State the decision rule for 0.025 significance level. (Round your answer to 3 decimal places.) |
| Reject H0 if t> |
| c. | Compute the value of the test statistic. (Round your answer to 3 decimal places.) |
| Value of the test statistic |
| d. | What is your decision regarding the null hypothesis? Use the 0.025 significance level. |
| Null hypothesis | (Click to select)not rejectedrejected |
Solutions
milcah answered 1 year agoRelated Solutions
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2...
The null and alternate hypotheses are:
H0 : μ1 =
μ2
H1 : μ1 ≠
μ2
A random sample of 11 observations from one population revealed
a sample mean of 23 and a sample standard deviation of 4.6. A
random sample of 8 observations from another population revealed a
sample mean of 28 and a sample standard deviation of 3.6.
At the 0.05 significance level, is there a difference between
the population means?
State the decision rule. (Negative values should...
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2...
The null and alternate hypotheses are:
H0 : μ1 =
μ2
H1 : μ1 ≠
μ2
A random sample of 12 observations from one population revealed
a sample mean of 25 and a sample standard deviation of 3.5. A
random sample of 9 observations from another population revealed a
sample mean of 30 and a sample standard deviation of 3.5.
At the 0.01 significance level, is there a difference between
the population means?
State the decision rule. (Negative values should...
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2...
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2
A random sample of 9 observations from one population revealed a
sample mean of 22 and a sample standard deviation of 3.9. A random
sample of 9 observations from another population revealed a sample
mean of 27 and a sample standard deviation of 4.1. At the 0.01
significance level, is there a difference between the population
means? State the decision rule. (Negative amounts should...
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2...
The null and alternate hypotheses are:
H0 : μ1 =
μ2
H1 : μ1 ≠
μ2
A random sample of 11 observations from one population revealed
a sample mean of 23 and a sample standard deviation of 1.1. A
random sample of 4 observations from another population revealed a
sample mean of 24 and a sample standard deviation of 1.3.
At the 0.05 significance level, is there a difference between
the population means?
State the decision rule. (Negative amounts should...
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2...
The null and alternate hypotheses are:
H0 : μ1 = μ2
H1 : μ1 ≠ μ2
A random sample of 10 observations from Population 1 revealed a
sample mean of 21 and sample deviation of 5. A random sample of 4
observations from Population 2 revealed a sample mean of 22 and
sample standard deviation of 5.1. The underlying population
standard deviations are unknown but are assumed to be equal.
At the .05 significance level, is there a difference between...
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2...
The null and alternate hypotheses are:
H0 : μ1 =
μ2
H1 : μ1 ≠
μ2
A random sample of 10 observations from one population revealed
a sample mean of 23 and a sample standard deviation of 3.5. A
random sample of 4 observations from another population revealed a
sample mean of 27 and a sample standard deviation of 3.6.
At the 0.01 significance level, is there a difference between
the population means?
State the decision rule. (Negative values should...
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2...
The null and alternate hypotheses are:
H0 : μ1 =
μ2
H1 : μ1 ≠
μ2
A random sample of 9 observations from one population revealed a
sample mean of 24 and a sample standard deviation of 3.7. A random
sample of 6 observations from another population revealed a sample
mean of 28 and a sample standard deviation of 4.6.
At the 0.01 significance level, is there a difference between
the population means?
a. State the decision rule. (Negative values...
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠...
The null and alternate hypotheses are:
H0 : μ1 = μ2
H1 : μ1 ≠ μ2
A random sample of 9 observations from Population 1 revealed a
sample mean of 23 and sample deviation of 5. A random sample of 7
observations from Population 2 revealed a sample mean of 25 and
sample standard deviation of 3.8. The underlying
population standard deviations are
unknown but are assumed to be equal.
At the .05 significance level, is there a...
The null and alternate hypotheses are: H0: μ1 ≤ μ2 H1: μ1 > μ2 A random...
The null and alternate hypotheses are: H0: μ1 ≤ μ2 H1: μ1 >
μ2 A random sample of 27 items from the first population showed a
mean of 106 and a standard deviation of 13. A sample of 14 items
for the second population showed a mean of 102 and a standard
deviation of 6. Use the 0.05 significant level. Find the degrees of
freedom for unequal variance test. (Round down your answer to the
nearest whole number.) State the...
The null and alternate hypotheses are: H0: μ1 ≤ μ2 H1: μ1 > μ2 A random...
The null and alternate hypotheses are: H0: μ1 ≤ μ2 H1: μ1 >
μ2 A random sample of 22 items from the first population showed a
mean of 113 and a standard deviation of 12. A sample of 16 items
for the second population showed a mean of 99 and a standard
deviation of 6. Use the 0.01 significant level. Find the degrees of
freedom for unequal variance test. (Round down your answer to the
nearest whole number.) State the...
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