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Statistics Assignment: AI Anxiety Analysis & T-Tests

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BUS105
Statistics
Group-Based Assignment
January 2024 Presentation
Submitted by:
Tutorial Group:
Name
PI No.
Doreen Tay Hui Ting
N2410462
T 03
Instructor’s Name: Prof. Tan Mak Koon, Maurice
Submission Date:
06/03/2024
Contents
Group-Based Assignment ........................................................................................................................... 1
Q1a ............................................................................................................................................................... 3
Q1b ............................................................................................................................................................... 4
Q1c................................................................................................................................................................ 5
Bibliography ................................................................................................................................................ 6
Q1a
At 90% Confidence Interval, we can be 90% certain that the estimations include the true
population parameter and 10% chance of the estimates being wrong.
AI Anxiety
Mean
Standard Error
Median
Mode
Standard Deviation
Sample Variance
Kurtosis
Skewness
Range
Minimum
Maximum
Sum
Count
Confidence Level (90.0%)
Upper Limit of CI:
Lower Limit of CI:
38.23611111
0.928696787
38
38
7.880253545
62.09839593
-1.138113034
-0.229285088
25
25
50
2753
72
1.547765747
39.78387686
36.68834536
Q1b
Upon analysis, we have 2 set of data, male and female respectively which are independent from
each other. Hence, we are using the Pooled t-Test.
t-Test: Two-Sample Assuming Equal Variances
Mean
Variance
Observations
Pooled Variance
Hypothesized Mean Difference
df
t Stat
P(T<=t) one-tail
t Critical one-tail
P(T<=t) two-tail
t Critical two-tail
Female
Male
37.6389 38.8333
68.1802 57.0571
36
36
62.6187
0
70
-0.6404
0.262
1.29376
0.524
1.66691
H0: The mean AI anxiety score of female workers is higher than male workers in Singapore. (µ ≥
0)
H1: The mean AI anxiety score of female workers is lower than male workers in Singapore. (µ <
0)
Q1c
Bibliography
1.
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