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:

TrainingPerformance
78
107
204
154
164.5
127
107
204

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:

ElementaryMiddleSecondary
171710
151212
201014
12816
14518
1520
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:

AsiaEurope
1720
2530
2615
2714
2812
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:

SpringFall
5040
2842
3044
3945
4025
2530

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:

SpringFall
8730
9035
5640
4845
3950
5055

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:

AsiaEurope
4025
5235
6320
7018
2519
1914
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:

SpringFall
3050
3528
4030
4539
5040
5525

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
GroupsCountSumAverageVariance
Oldest7202.8571430.809524
Middle8192.3751.125
Youngest7202.8571431.142857
ANOVA
Source of VariationSSdfMSFP-valueF crit
Between Groups1.18344220.5917210.5739210.5727813.521893
Within Groups19.58929191.031015
Total20.7727321
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:

MorningEvening
MorningEvening
Mean3240.625
Variance89.71428571504.5536
Observations88
Pearson Correlation0.343785438
Hypothesized Mean Difference0
df7
t Stat-1.152587077
P(T<=t) one-tail0.143458126
t Critical one-tail1.894578605
P(T<=t) two-tail0.286916252
t Critical two-tail2.364624252

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?

AB
Mean40.62561.66667
Variance504.5535714462.6667
Observations86
Pooled Variance487.1006944
Hypothesized Mean Difference0
df12
t Stat-1.76533594
P(T<=t) one-tail0.051458003
t Critical one-tail1.782287556
P(T<=t) two-tail0.102916007
t Critical two-tail2.17881283
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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