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Sale (In Millions) Year LG TV Sony TV

The document presents sales data for LG and Sony TVs from 2014 to 2023, showing a consistent increase in LG TV sales compared to Sony. An F-Test indicates significant variance differences, leading to a t-Test that shows a p-value of 0.00, suggesting strong evidence to reject the null hypothesis. The analysis concludes that LG TV sales are statistically significantly higher than those of Sony TVs.

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hemakothand
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15 views2 pages

Sale (In Millions) Year LG TV Sony TV

The document presents sales data for LG and Sony TVs from 2014 to 2023, showing a consistent increase in LG TV sales compared to Sony. An F-Test indicates significant variance differences, leading to a t-Test that shows a p-value of 0.00, suggesting strong evidence to reject the null hypothesis. The analysis concludes that LG TV sales are statistically significantly higher than those of Sony TVs.

Uploaded by

hemakothand
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as XLSX, PDF, TXT or read online on Scribd
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Sale (in Millions)

year LG TV Sony TV
2014 15 8
2015 16 8.5
2016 17 9
2017 18 9.5
2018 20 9
2019 22 8.5
2020 24 9.5
2021 26 10
2022 28 10.5
2023 30 11

F-Test Two-Sample for Variances

LG TV Sony TV
Mean 21.60 9.35
Variance 27.60 0.89
Observations 10.00 10.00
df 9.00 9.00
F 30.95
P(F<=f) one-tail 0.00
F Critical one-tail 3.18
**if p-value < 0.05 hence use t-test: Two sample assuming unequal variances**
**if p-value > 0.05 hence use t-test:two sample assuming equal variances**

t-Test: Two-Sample Assuming Unequal Variances


LG TV Sony TV
Mean 21.60 9.35
Variance 27.60 0.89
Observations 10.00 10.00
Hypothesized Mean Difference 0.00
df 10.00
t Stat 7.26
P(T<=t) one-tail 0.00
t Critical one-tail 1.81
P(T<=t) two-tail 0.00
t Critical two-tail 2.23

** if p-value > 0.05 , accept H0 and reject H1**


** if p-value < 0.05 , reject H0 and accept H1**
[OR]
If |t-Stat| > t-Critical, reject H0 and reject H1
If |t-Stat| < t-Critical, accept H0 and reject H1

# in this problem , p-value[0]<0.05, reject H0 and reject H1


[OR]
#|7.26|>2.23 [|t-Stat| < t-Critical ], reject H0 and reject H1

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