Question

Given two dependent random samples with the following results:

Population 1 | 69 | 55 | 53 | 56 | 59 | 74 | 76 | 71 |
---|---|---|---|---|---|---|---|---|

Population 2 | 75 | 53 | 58 | 53 | 64 | 77 | 72 | 77 |

Can it be concluded, from this data, that there is a significant difference between the two population means?

Let d=(Population 1 entry)−(Population 2 entry)d=(Population 1 entry)−(Population 2 entry). Use a significance level of α=0.02 for the test. Assume that both populations are normally distributed.

Step 1 of 5: State the null and alternative hypotheses for the test.

Step 2 of 5: Find the value of the standard deviation of the paired differences. Round your answer to one decimal place.

Step 3 of 5: Compute the value of the test statistic. Round your answer to three decimal places.

Step 4 of 5: Determine the decision rule for rejecting the null hypothesis H0. Round the numerical portion of your answer to three decimal places.

Step 5 of 5: Make the decision for the hypothesis test. Reject or Fail to reject Null Hypothesis.

Answer #1

step 1:

null Hypothesis:μ_{d} |
= | 0 | |

alternate
Hypothesis: μ_{d} |
≠ | 0 |

Step 2 of 5:

Std deviaiton
S_{D}=√(Σd^{2}-(Σd)^{2}/n)/(n-1) = |
4.3 |

Step 3 of 5: Compute the value of the test statistic =-1.316 (please try -1.323 if this comes wrong and reply)

Step 4 of 5 :

Decision rule: reject Ho if absolute value of test statistic |t|>2.998 |

Step 5 of 5: fail to reject ho

Given two dependent random samples with the following
results:
Population 1
59
57
77
60
59
64
72
67
Population 2
61
53
84
53
69
74
64
73
Can it be concluded, from this data, that there is a significant
difference between the two population means?
Let d=(Population 1 entry)−(Population 2 entry)d=(Population 1
entry)−(Population 2 entry). Use a significance level of
α=0.01α=0.01 for the test. Assume that both populations are
normally distributed.
Copy Data
Step 1 of 5:
State...

Given two dependent random samples with the following
results:
Population 1
81
59
57
84
52
62
65
80
Population 2
85
53
66
82
54
64
57
84
Can it be concluded, from this data, that there is a significant
difference between the two population means?
Let d=(Population 1 entry)−(Population 2 entry). Use a
significance level of α=0.02 for the test. Assume that both
populations are normally distributed.
Step 2 of 5:
Find the value of the standard deviation...

Given two dependent random samples with the following
results:
Population 1
77
64
60
71
56
56
62
55
Population 2
84
54
68
61
60
63
60
63
Can it be concluded, from this data, that there is a significant
difference between the two population means?
Let d=(Population 1 entry)−(Population 2 entry)d=(Population 1
entry)−(Population 2 entry). Use a significance level of α=0.1α=0.1
for the test. Assume that both populations are normally
distributed.
Step 3 of 5 : Compute the value...

Given two dependent random samples with the following
results:
Population 1
62
60
71
67
63
64
80
65
Population 2
64
54
79
62
72
72
73
75
Can it be concluded, from this data, that there is a significant
difference between the two population means?
Let d=(Population 1 entry)−(Population 2 entry). Use a
significance level of α=0.1 for the test. Assume that both
populations are normally distributed.
Step 1 of 5: State the null and alternative hypotheses for...

Given two dependent random samples with the following
results:
Population 1
58
76
77
70
62
76
67
76
Population 2
64
69
83
60
66
84
60
81
Can it be concluded, from this data, that there is a significant
difference between the two population means?
Let d=(Population 1 entry)−(Population 2 entry). Use a
significance level of α=0.01 for the test. Assume that both
populations are normally distributed.
Step 1 of 5: State the null and alternative hypotheses for...

Given two dependent random samples with the following
results:
Population 1
70
69
60
60
59
54
62
68
Population 2
79
59
66
52
66
59
55
70
Can it be concluded, from this data, that there is a significant
difference between the two population means?
Let d=(Population 1 entry)−(Population 2 entry)d=(Population 1
entry)−(Population 2 entry). Use a significance level of
α=0.02α=0.02 for the test. Assume that both populations are
normally distributed.
Copy Data
Step 1 of 5 : ...

Given two dependent random samples with the following
results:
Population 1
54
83
68
66
62
60
70
62
Population 2
59
74
76
64
64
69
67
64
Can it be concluded, from this data, that there is a significant
difference between the two population means?
Let d=(Population 1 entry)−(Population 2 entry) . Use a
significance level of α=0.01 for the test. Assume that both
populations are normally distributed.
Step 1 of 5:
State the null and alternative hypotheses...

Given two independent random samples with the following
results:
n1=573, p^1=0.5
n2=454, pˆ2=0.6
Can it be concluded that the proportion found in Population 2
exceeds the proportion found in Population 1? Use a
significance level of α=0.1α=0.1for the test.
Step 1 of 5: State the null and alternative hypotheses for the
test.
Step 2 of 5: Compute the weighted estimate of p, p‾p‾. Round
your answer to three decimal places.
Step 3 of 5: Compute the value of the test statistic....

Given two independent random samples with the following
results:
n1 = 226
^p1 = 0.55
n2 = 444
^p2 = 0.63
Can it be concluded that the proportion found in Population 2
exceeds the proportion found in Population 1? Use a
significance level of α=0.1 for the test.
Step 1 of 5: State the null and alternative hypotheses for the
test.
Step 2 of 5: Compute the weighted estimate of p, p‾. Round your
answer to three decimal places.
Step 3...

Given two independent random samples with the following
results:
n1=653 x1=355 n2=597 x2=201
Can it be concluded that there is a difference between the two
population proportions? Use a significance level of α=0.05 for the
test.
Step 1 of 6: State the null and alternative hypotheses for the
test.
Step 2 of 6: Find the values of the two sample proportions, p^1
and p^2. Round your answers to three decimal places.
Step 3 of 6: Compute the weighted estimate...

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