1. Samples of sizes 100 and 80 of calculus students were acquired. The students in the first sample got into calculus by passing the pre-calculus course. Those in the second sample got in by getting a passing score on a placement test. In the first group, 65 succeeded in calculus. In the second group, 41 succeeded. Without using R find a 95% confidence interval for the difference in the success rates of the two populations. 2. For the same data, find the p-value for a test of the alternative hypothesis that the two success rates are not equal without using R.
3. Repeat problems 5 and 6 using R.

its 60

4 x 12 = 48

3 x 4 = 12

48 + 12 = 60

yeeeet

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.