Question

the number of hours per week that the television is turned on is determined for each family in a sample. the mean of the data is 35 hours and the median is 31.2 hours. twenty-four of the families in the sample turned on the television for 20 hours or less for the week. the 14th percentile of the data is 20 hours.step 3 of 5 : based on the given information, determine if the following statement is true or false.approximately 86families turned on their televisions for less than 35 hours.

Answer 1

The statement is false based on the given information.

Step-by-step explanation:

To determine if the statement is true or false, we need to compare the given information with the statement. The mean of the data is 35 hours, meaning that, on average, families turned on their televisions for 35 hours. The statement says that approximately 86 families turned on their televisions for less than 35 hours. However, we are given that 24 families turned on their televisions for 20 hours or less, and the 14th percentile is 20 hours. Since the median (31.2 hours) is greater than 20 hours, it is likely that a significant number of families turned on their televisions for more than 35 hours. Therefore, the statement is false.