Question

The null and alternate hypotheses are: |

H : μ_{0}_{1} = μ_{2} |

H : μ_{1}_{1} ≠ μ_{2} |

A random sample of 11 observations from one population revealed a sample mean of 25 and a sample standard deviation of 3.5. A random sample of 4 observations from another population revealed a sample mean of 29 and a sample standard deviation of 4.5. |

At the 0.01 significance level, is there a difference between the population means? |

a. |
State the decision rule. |

The decision rule is to reject
H if t < or t > ._{0} |

b. |
Compute the pooled estimate of the population variance.
(Round your answer to 3 decimal places.) |

Pooled estimate of the population variance |

c. |
Compute the test statistic. |

Test statistic |

d. |
State your decision about the null hypothesis. |

(Click to select)RejectDo not reject H
._{0} |

e. |
The p-value is (Click to select)between 0.01 and
0.1between 0.001 and 0.01between 0.1 and 0.2less than 0.001between
0.05 and 0.1. |

Answer #1

a) The decision rule is to reject *H _{0}* if t
<-3.012 or t > 3.012

b) pooled estimate of population variance=14.096

c) test statistic t=-1.825

d) Do not reject *H _{0}*

e)

The p-value is )between 0.01 and 0.1 |

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 values should...

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 24 and a sample standard deviation of 3.8. A
random sample of 8 observations from another population revealed a
sample mean of 28 and a sample standard deviation of 3.7.
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
A random sample of 12 observations from one population revealed
a sample mean of 23 and a sample standard deviation of 2.5. A
random sample of 5 observations from another population revealed a
sample mean of 25 and a sample standard deviation of 2.7.
At the 0.10 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
A random sample of 8 observations from one population revealed a
sample mean of 23 and a sample standard deviation of 3.9. A random
sample of 8 observations from another population revealed a sample
mean of 28 and a sample standard deviation of 4.4.
At the 0.05 significance level, is there a difference between
the population means?
State the decision rule. (Negative amounts should...

he 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 24 and a sample standard deviation of 4.6. A
random sample of 8 observations from another population revealed a
sample mean of 29 and a sample standard deviation of 4.1.
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
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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.
b.Compute the...

The null and alternate hypotheses are: H0: μ1 ≤ μ2 H1: μ1 >
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mean of 112 and a standard deviation of 16. A sample of 17 items
for the second population showed a mean of 97 and a standard
deviation of 12. 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 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 114 and a standard deviation of 15. A sample of 15 items
for the second population showed a mean of 106 and a standard
deviation of 9. Use the 0.025 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 sample of 29 items from the first population showed a
mean of 112 and a standard deviation of 9. A sample of 15 items for
the second population showed a mean of 97 and a standard deviation
of 12. Use the 0.10 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 sample of 25 items from the first population showed a
mean of 111 and a standard deviation of 8. A sample of 17 items for
the second population showed a mean of 103 and a standard deviation
of 9. Use the 0.10 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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