Question

#4
**Below are two samples of test scores from two different calculus classes. It is believed that class 1 performed better than class two. From previous tests, it is known that the test scores for both classes are normally distributed and the population standard deviation of class 1 is 10 points and the population standard deviation of class 2 is 8 points. Do the data support that class 1 performed better.**
```{r}
class1<-c(100, 86, 98, 72, 66, 95, 93, 82)
class2<-c(98, 82, 99, 99, 70, 71, 94, 79)

```

##5
**A teaching assistant in Florida collected a sample to see if the average number of hours students put into studying depending on if they were in graduate school or not. The data below represents these two samples.**

**Perform a test to determine if the time graduate students spend studying is greater than that of undergraduate students. Be sure to identify your hypotheses and explain your conclusion in the context of the question. Assume the time spend studying for both graduate and undergraduate is normally distributed.**

grad<-c(15,7,15,10,5,5,2,3,12,16,15,37,8,14,10,18,3,25,15,5,5)
undergrad<-c(6,8,15,6,5,14,10,10,12,5)

Please Solve using R studio codes with explanation

Answer 1