Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Timpony School District surveyed a random sample of 60 middle school students about the amount of time they watch TV. Of the students surveyed, 14 average watching more than 4 hours of TV each day. There are 1143 middle school students in the Timpony School District. Based on the data, what is the most reasonable estimate for the number of Timpony School District middle school students who average watching more than 4 hours of TV each day?
Choose 1 answer:
(A) 14
(B) 76
(C) 267
(D) 876

Timpony School District surveyed a random sample of 6060 middle school students about the amount of time they watch TV. Of the students surveyed, 1414 average watching more than 44 hours of TV each day. There are 11431143 middle school students in the Timpony School District. Based on the data, what is the most reasonable estimate for the number of Timpony School District middle school students who average watching more than 44 hours of TV each day?\newlineChoose 11 answer:\newline(A) 1414\newline(B) 7676\newline(C) 267 \mathbf{2 6 7} \newline(D) 876876

Full solution

Q. Timpony School District surveyed a random sample of 6060 middle school students about the amount of time they watch TV. Of the students surveyed, 1414 average watching more than 44 hours of TV each day. There are 11431143 middle school students in the Timpony School District. Based on the data, what is the most reasonable estimate for the number of Timpony School District middle school students who average watching more than 44 hours of TV each day?\newlineChoose 11 answer:\newline(A) 1414\newline(B) 7676\newline(C) 267 \mathbf{2 6 7} \newline(D) 876876
  1. Estimate Calculation: What is the most reasonable estimate for the number of Timpony School District middle school students who average watching more than 44 hours of TV each day?
  2. Proportion Determination: To find the estimate, first determine the proportion of students in the sample who watch more than 44 hours of TV each day. This is done by dividing the number of students who watch more than 44 hours of TV by the total number of students surveyed.
  3. Fraction Simplification: Simplify the fraction to find the proportion.
  4. Application of Proportion: Apply this proportion to the total number of middle school students in the Timpony School District to estimate the number of students who watch more than 44 hours of TV each day.
  5. Rounding Consideration: Since the number of students cannot be a fraction, round the result to the nearest whole number if necessary. However, in this context, we are looking for the most reasonable estimate, so we consider the calculated value without needing to round.

More problems from Experimental probability