Question

Test the Hypotheses Below |
|||||

Null Hypothesis: Mean Student Debt in 2011 is equal to Mean Student Debt in 2007 | |||||

Alternative Hypothesis: Mean Student Debt in 2011 is not equal to Mean Student Debt in 2007 | |||||

Alpha Level = 0.05 |

t-Test: Two-Sample Assuming Equal Variances | ||

Variable 1 | Variable 2 | |

Mean | 3925.76 | 2876.82 |

Variance | 222129.8188 | 140278.3547 |

Observations | 50 | 50 |

Pooled Variance | 181204.0867 | |

Hypothesized Mean Difference | 0 | |

df | 98 | |

t Stat | 12.32073615 | |

P(T<=t) one-tail | 6.27467E-22 | |

t Critical one-tail | 1.660551217 | |

P(T<=t) two-tail | 1.25493E-21 | |

t Critical two-tail | 1.984467455 |

- Run the appropriate
**t-test**(assuming either equal or unequal variances based on your conclusion in 1e above) using an**alpha level of 0.05**to determine if there is a difference between the debt amounts in the two years and answer the following questions.

- What is the Null and Alterative Hypotheses for the T-Test for
the differences between debt amounts in the two years?

Null Hypothesis:

Alterative Hypothesis: - Which of the two years has the higher mean?

- Is this a one-tailed or two-tailed test? Explain?

- What is the Null and Alterative Hypotheses for the T-Test for
the differences between debt amounts in the two years?

- What is the t Test Statistics? What is the
p-value?
- Based on the statistical output, would you conclude that means are equal or not equal? Why?

Answer #1

d. Interpret the results of your t-test from #3b… Can we reject
the null hypothesis? Is it safe to say that the mean Average Daily
Sales for Location Type A and for Location Type B are the same,
based on this data? Please Interpret the data and if the
hypothesis can be rejected?
t-Test: Two-Sample Assuming Equal Variances
Variable 1
Variable 2
Mean
472.0135
549.6954372
Variance
133320.6
123688.0235
Observations
2
2
Pooled Variance
128504.3
Hypothesized Mean Difference
0
df
2...

Conduct an independent sample t-test (alpha= .05) in Excel to
determine whether there is a significant difference in the age of
offenders at prison admissions between White and Black offenders.
For this t-test, assume that the variances of the two groups are
equal. In your summary, please discuss the null hypothesis,
alternative hypothesis, the result of this hypothesis test, and
interpret the result.
t-Test: Two-Sample Assuming Equal Variances
White
Black
Mean
235.5714286
199.164557
Variance
44025.35714
87049.21616
Observations
21
79
Pooled...

t-Test: Two-Sample Assuming Equal Variances
Eagles Weight
Patriots Weight
Mean
238.6623377
246.7012987
Variance
2206.647642
2141.501709
Observations
77
77
Pooled
Variance
2174.074675
Hypothesized Mean Difference
0
df
152
t
Stat
-1.069776516
P(T<=t) one-tail
0.143207882
t
Critical one-tail
1.654940175
P(T<=t) two-tail
0.286415763
t
Critical two-tail
1.975693928
Conclusion of this t-test? What can I concluded by this?

t-Test: Two-Sample Assuming Equal Variances
Eagles Age
Patriots Age
Mean
27.76662516
28.15171678
Variance
12.09082453
12.65872713
Observations
77
77
Pooled
Variance
12.37477583
Hypothesized Mean Difference
0
df
152
t
Stat
-0.679243926
P(T<=t) one-tail
0.249008166
t
Critical one-tail
1.654940175
P(T<=t) two-tail
0.498016332
t
Critical two-tail
1.975693928
What can I concluded by this?

t-Test: Two-Sample Assuming Equal Variances
Eagles Height in inches
Patriots Height in inches
Mean
73.51948052
73.94805195
Variance
7.095010253
7.786739576
Observations
77
77
Pooled
Variance
7.440874915
Hypothesized Mean Difference
0
df
152
t
Stat
-0.974858488
P(T<=t) one-tail
0.165589676
t
Critical one-tail
1.654940175
P(T<=t) two-tail
0.331179353
t
Critical two-tail
1.975693928
What can I conclude by this?

The mean SAT score in the US is 1060. Set a level of alpha for a
statistical test at 0.001, 0.01, or 0.05. Discuss your selection.
Write the statistical hypotheses. And using the data in the file,
determine whether there is a significant difference in the mean SAT
score at the high school and the US mean.
t-Test: One-Sample Assuming Unequal Variances
SAT Score 2017
Mean
878.3801
Variance
22041.12
Observations
321
Hypothesized Mean Difference
1060
df
320
t
Stat
-21.9179...

Jovon conducts a hypothesis test for a population mean
difference. The null and alternative hypotheses are as follows: Ho:
µ1 ≤ µ2; Ha: µ1 > µ2. His t-test statistic = 2.85 with df =
19.
What is the p-value associated with his hypothesis test using
Table A.5 or TI function?

Based on the output given above, what are the decision and
conclusions for the test, conducted at the
5% significance level?
Reject the null hypothesis; conclude there is no difference
between the grades of the morning class and the grades of the
evening class.
Fail to reject the null hypothesis, conclude there is
insufficient information to decide there is no difference between
the grades of the morning class and the grades of the evening
class.
Fail to reject the null...

Each student in a section of business statistics provided
his/her 5 favorite movies, along with the IMDB score (1-10) and
Gross receipts (at that point in time and not corrected for
inflation). The IMDB score was used to identify the “Good Movies”
(IMDB score must be above 8).
Is there a difference in Gross Receipts between Good Action movies
and Good Drama movies? The following output was created at alpha =
0.05.
t-Test: Two-Sample Assuming Unequal Variances
Good Action...

The CEO of a company would like to determine whether advertising
increases sales. So the null hypothesis tested is
H0: μd ≤ 0. The CEO hires you to
conduct the analysis for the period 2018 to 2019. Using a Matched
sample design yields the following result:
t-Test: Paired Two Sample for Means
2019
2018
Mean
191.8
172.05
Variance
2030.574359
2878.664103
Observations
40
40
Pearson Correlation
0.821186783
Hypothesized Mean Difference
0
df
39
t Stat
4.077479845
P(T<=t) one-tail
0.000108536
t Critical...

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