A study was conducted to analyse whether there is a difference in customers' satisfaction level between staying in a hotel and staying in Airbnb. A random sample of 36 guests were invited to stay for 3 nights in a hotel room then another 3 nights in an Airbnb room. They were then asked to rate their experience in each of the room, using the number 0 = (not satisfied at all) to 10 (very satisfied). T-Test: Paired Two Sample Means was then conducted and the output is given below.

t-Test: Paired Two Sample for Means

Hotel

Airbnb

Mean

9.861111111

9.694444444

Variance

0.18015873

0.332539683

Observations

36

36

Pearson Correlation

0.755502631

Hypothesized Mean Difference

0

df

35

t Stat

2.645751311

P(T<=t) one-tail

0.006063735

t Critical one-tail

1.689572458

P(T<=t) two-tail

0.01212747

t Critical two-tail

2.030107928

(a). Explain why in this study we need to use Paired Sample test instead of Two-sample test.

(b). Perform hypothesis test that the mean rating between the two rooms are equal, at 1% level.