Alexis is investigating the screen time for adult smartphone users in her region. She selects 14
adult smartphone users from her region at random. Each individual in the sample reviews the average amount of screen time, in minutes, spent on their smartphones each day. The results from the sample are provided in the accompanying table.
172 284 93 159 56 124 206
251 142 167 202 118 135 104
Explain whether 150.5 minutes could be used as an estimate for the mean amount of screen time adult smartphone users in Alexis's region have each day? Round to two decimal places as needed.
To determine whether 150.5 minutes could be used as an estimate for the mean amount of screen time for adult smartphone users in Alexis's region, we need to calculate the sample mean and compare it to 150.5.
The sample mean is calculated by summing up all the individual screen time values and then dividing by the number of individuals in the sample:
(172 + 284 + 93 + 159 + 56 + 124 + 206 + 251 + 142 + 167 + 202 + 118 + 135 + 104) / 14 = 1847 / 14 = 132.07 (rounded to two decimal places)
Based on the sample data, the mean amount of screen time for adult smartphone users is approximately 132.07 minutes per day. Since this value is different from the given 150.5 minutes, we cannot use 150.5 as an estimate for the mean amount of screen time for adult smartphone users in Alexis's region.