35 total girls and 50 total boys were surveyed. how many students bought their lunch from the cafeteria? round to the nearest whole number.
chart listed below-

36 students bought their lunch from cafeteria.

Step-by-step explanation:

Given : Total girls = 35

            Total boys = 50

To find:How many students bought their lunch from the cafeteria?

Solution:

Probability of boys bought their lunch from cafeteria = 0.44

Since total no. of boys =50

So, no. of boys bought their lunch from cafeteria = 50*0.44

                                                                                     =22

Probability of girls bought their lunch from cafeteria = 0.4

Since total no. of girls =35

So, no. of girls bought their lunch from cafeteria = 35*0.4

                                                                                    =14

So, total no. of students bought their lunch from cafeteria = 22+14 =36

Hence 36 students bought their lunch from cafeteria.

 99% confidence interval would be (10.78,11.82).

Step-by-step explanation:

Since we have given that

n = 12

Average = 11.3

Variance = 0.49

Standard deviation = √0.49=0.7

so, we need to find 99% confidence interval.

At 99% confidence , z = 2.58

So, interval would be

Hence, 99% confidence interval would be (10.78,11.82).