Testing of Hypothesis and One-Sample t-test

Running head: ASSIGNMENTS
Assignments
Name
Course Number
Date
Faculty Name

ASSIGNMENTS 2
Assignments
Assessment Exercise: Testing of Hypothesis
1. Hypothesis statements
Null hypothesis: The average number of gifts an NSW teacher receives per year = 10
Experimental hypothesis: The average number of gifts an NSW teacher receives per year ≠ 10
2. Decision criteria
This is a two-sided hypothesis test and we will reject the null hypothesis will be rejected if the
absolute calculated Z score is > tabulated score at 95% confidence level.
3. Outliers
’
The stem and leaf plot above shows no cases of outliers although the data seems to be slightly
skewed to the right with 1 being the smallest and 9 the largest value. 3 is the most occurring
number within the dataset.

ASSIGNMENTS 3
In the boxplot above, there are no cases of outliers, which are usually shown as dots exceeding
both caps of the plot. From the same plot, we can ascertain that the median number of gifts a
teacher gets from the students is 4.
4. Normality
For normality test, the null hypothesis for both normality tests is that their data is normally
distributed.
According to the normality test results in the table above for the data, the p-values > 0.05, hence
concluding that the data is normally distributed. This is also affirmed by the histogram below,
whose normal curve describes normality.