### Problem 1 RStudio c) You need to obtain new desks for an incoming class of 2
ID: 3309498 • Letter: #
Question
### Problem 1 RStudio c)
You need to obtain new desks for an incoming class of 25 kindergarten students who are all 5 years of age. An important characteristic of the desks is that they must accommodate the sitting heights of those students. (The sitting height is the height of a seated student from the bottom of the feet to the top of the knee.) The table below lists the parameters for sitting heights of 5 years-old children:
| | Boys | Girls |
|----:|----:|----:|
| Mean | 61.8 cm | 61.2 cm |
| StDev | 2.9 cm | 3.1 cm |
| Distr | Normal | Normal |
c) Based on the preceding results, what single value should be the minimum sitting height accommodated by the desks? What are the sitting heights of girls not included in the classroom?
```{r}
# Insert R code below this line
```
Explanation / Answer
> x1=61.8 # Mean sitting heights of boys
> x2=61.2 # Mean sitting heights of girls
> # c) Based on the preceding results,
> # the minimum single value sitting height accommodated by the desks is
> x=mean(c(x1,x2))
> x
[1] 61.5
>
> # The sitting heights of girls which did not included in the classroom are
> # the height less than 61.5 and more than
>
> y1=61.2-3.1
> y1 # at 1 sigma
[1] 58.1
>
> y2=61.2-2*3.1
> y2 # at 2 sigma
[1] 55
> y3=61.2-3*3.1
> y3 # at 3 sigma
[1] 51.9
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