HELPING THE TRAVELLER Management is interested in the average performance of the
ID: 2921619 • Letter: H
Question
HELPING THE TRAVELLER
Management is interested in the average performance of their staff with respect to customer service. One indication of this is the ratings that passengers have provided about the helpfulness of staff they have encountered. Examine this data to determine if the average rating provided regarding the helpfulness of staff significantly exceeds a benchmark of 5 out of 7. You should answer the managerial question, but show from a statistical point of view the inputs, assumptions and statistics used to reach your conclusion.
File: https://docs.google.com/spreadsheets/d/1JgjF1u0C-141vAUWrj_FIu6b-Awj18-WYSqnOUxJE4A/edit?usp=sharing
Explanation / Answer
We shall do this analysis in R as shown below
# read the data into R dataframe
data.df<- read.csv("C:\Users\586645\Downloads\Chegg\satis.csv",header=TRUE)
str(data.df)
### perform a 1 tail t test
t.test(data.df$SATISF, mu= 5 , alternative = "greater")
The results of the 1 tail t test are
t.test(data.df$SATISF, mu= 5 , alternative = "greater")
One Sample t-test
data: data.df$SATISF
t = -38.157, df = 214, p-value = 1
alternative hypothesis: true mean is greater than 5
95 percent confidence interval:
2.258318 Inf
sample estimates:
mean of x
2.372093
we see that the mean value is only 2.37 and the p value is almost 1 . As the p value is greater than the alpha of 0.05 , hence we fail to reject the null hypithesis and conclude that average rating doesnt exceeds a benchmark of 5
Ho : The average rating doesnt exceed a benchmark of 5 out of 7
H1 : The average rating does exceed a benchmark of 5 out of 7
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