### Question Description

Can you help me understand this Computer Science question?

**QUESTION 1**

A researcher wanted to know if there was a relationship between training and performance of athletes in a particular sport. The weeks spent training were gathered for 8 athletes, and compared to their performance data. What test should the researcher conduct to see if there is a relationship? Write the results according to the handbook, and if the results are significant describe the strength of the relationship. Here are the data:

Training | Performance |

7 | 8 |

10 | 7 |

20 | 4 |

15 | 4 |

16 | 4.5 |

12 | 7 |

10 | 7 |

20 | 4 |

**QUESTION 2**

A superintendent wanted to know if there was a difference among staff retention at elementary, middle, and high schools in her district. Here are the data:

Elementary | Middle | Secondary |

17 | 17 | 10 |

15 | 12 | 12 |

20 | 10 | 14 |

12 | 8 | 16 |

14 | 5 | 18 |

15 | 20 | |

10 |

What test should she conduct to determine if there is a difference among the levels? What do the results mean? Please write up your results according to the handbook and describe any follow up or additional statistical analysis, if necessary.

**QUESTION 3**

A researcher wanted to know if there was a significant difference in cyber security breaches between cities on two different continents. What test should he conduct to determine if there is a significant difference in cyber security breaches between the continents? Write up the results and determine what do the results mean?

Here is the data set:

Asia | Europe |

17 | 20 |

25 | 30 |

26 | 15 |

27 | 14 |

28 | 12 |

50 |

**QUESTION 4**

A department chair in an academic department wanted to know if there was a difference between spring and fall enrollment in his department. The department offered the same six courses both semesters. What test should he conduct to determine if there is a significant difference in the enrollment between the semesters? Write up the results and determine what do the results mean?

Here is the data set:

Spring | Fall |

50 | 40 |

28 | 42 |

30 | 44 |

39 | 45 |

40 | 25 |

25 | 30 |

### QUESTION 5

A department chair in an academic department wanted to know if there was a difference between spring and fall enrollment in his department. The department offered the same six courses both semesters. What test should he conduct to determine if there is a significant difference in the enrollment between the semesters? Write up the results and determine what do the results mean?

Here is the data set:

Spring | Fall |

87 | 30 |

90 | 35 |

56 | 40 |

48 | 45 |

39 | 50 |

50 | 55 |

QUESTION 6A researcher wanted to know if there was a significant difference in cyber security breaches between cities on two different continents. What test should he conduct to determine if there is a significant difference in cyber security breaches between the continents? Write up the results and determine what do the results mean?

Here is the data set:

Asia | Europe |

40 | 25 |

52 | 35 |

63 | 20 |

70 | 18 |

25 | 19 |

19 | 14 |

11 | |

9 |

QUESTION 7A department chair in an academic department wanted to know if there was a difference between spring and fall enrollment in his department. The department offered the same six courses both semesters. What test should he conduct to determine if there is a significant difference in the enrollment between the semesters? Write up the results and determine what do the results mean?

Here is the data set:

Spring | Fall |

30 | 50 |

35 | 28 |

40 | 30 |

45 | 39 |

50 | 40 |

55 | 25 |

QUESTION 10A researcher wanted to know if there was a difference among people in the amount of degrees attained based on the birth order of the individual. The researcher sampled a population in an urban area asking how many degrees attained and whether the person was the oldest, middle, or youngest in their respective families. Here are the results:

SUMMARY | ||||||

Groups | Count | Sum | Average | Variance | ||

Oldest | 7 | 20 | 2.857143 | 0.809524 | ||

Middle | 8 | 19 | 2.375 | 1.125 | ||

Youngest | 7 | 20 | 2.857143 | 1.142857 | ||

ANOVA | ||||||

Source of Variation | SS | df | MS | F | P-value | F crit |

Between Groups | 1.183442 | 2 | 0.591721 | 0.573921 | 0.572781 | 3.521893 |

Within Groups | 19.58929 | 19 | 1.031015 | |||

Total | 20.77273 | 21 |

There is no difference in the amount of degrees earned based on birth order, (F [2, 19] = 2.85, p > .05). | ||

There is a difference in the amount of degrees earned based on birth order, (F [2, 19] = .57, p > .05). | ||

There is no difference in the amount of degrees earned based on birth order, (F [2, 19] = .57, p > .05). | ||

There is a difference in the amount of degrees earned based on birth order, (F [2, 19] = 3.52, p < .05). |

### QUESTION 11

A researcher conducted a paired sample t-test to determine if advertisements were viewed more in the morning (before noon) or in the evening (after 5pm) for eight different universities. The results were as follows:

Morning | Evening | |

Morning | Evening | |

Mean | 32 | 40.625 |

Variance | 89.71428571 | 504.5536 |

Observations | 8 | 8 |

Pearson Correlation | 0.343785438 | |

Hypothesized Mean Difference | 0 | |

df | 7 | |

t Stat | -1.152587077 | |

P(T<=t) one-tail | 0.143458126 | |

t Critical one-tail | 1.894578605 | |

P(T<=t) two-tail | 0.286916252 | |

t Critical two-tail | 2.364624252 |

Is there a significant difference between morning and evening access to the university advertisements?

No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p > .05). | ||

Yes, there was a significant difference between Morning (M= 32), and Evening (M=40.625), (t [7] = .28, p < .05). | ||

No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p < .05). | ||

Yes, there was a significant difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15 p < .05). |

### QUESTION 12

What is the correct way to write the following t-test results and interpret the data?

A | B | |

Mean | 40.625 | 61.66667 |

Variance | 504.5535714 | 462.6667 |

Observations | 8 | 6 |

Pooled Variance | 487.1006944 | |

Hypothesized Mean Difference | 0 | |

df | 12 | |

t Stat | -1.76533594 | |

P(T<=t) one-tail | 0.051458003 | |

t Critical one-tail | 1.782287556 | |

P(T<=t) two-tail | 0.102916007 | |

t Critical two-tail | 2.17881283 |

There is a significant difference between the means of A (M=40.63) and B (M=61.67), (t [12] = 2.18, p > .05). | ||

There is no significant difference between the means of A (M=40.63) and B (M=61.67), (t [12] = 1.76, p < .05). | ||

There is no significant difference between the means of A (M=40.63) and B (M=61.67), (t [12] = 1.76, p > .05). | ||

There is a significant difference between the means of A (M=40.63) and B (M=61.67), (t [12] = 1.76, p < .05). |

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