Answer:
a
The Null hypothesis represented as
The Alternative hypothesis represented as
b
p-value = P(Z < -3.37 ) = 0.000376
c
There is insufficient evidence to conclude that graduate students score higher, on average, on the HPI than undergraduate students
Step-by-step explanation:
From the question we are told that
The population size is
The sample size for graduates is
The sample mean for graduates is
The sample standard deviation for graduates is
The sample size for under-graduates is
The sample mean for under-graduates is
The sample standard deviation for graduates is
The Null hypothesis represented as
The Alternative hypothesis represented as
Where are the population mean
Now the test statistic is mathematically represented as
substituting values
The p-values is mathematically evaluated as
p-value = P(Z < -3.37 ) = 0.000376
The above answer is gotten using a p-value calculator at (0.05) level of significance
Looking the p-value we see that it is less than the level of significance (0.05) so Null hypothesis is rejected
Hence there is insufficient evidence to conclude that graduate students score higher, on average, on the HPI than undergraduate students
