Answer :
Final answer:
95.4 percent of smartphone users are between 29 and 53 years old.
Therefore, the correct option is c) 95.4.
Explanation:
To find the percentage of smartphone users between 29 and 53 years old, we use the 68-95-99.7 rule, which states that approximately 68% of the data falls within one standard deviation from the mean, 95% within two standard deviations, and 99.7% within three standard deviations of the mean for a normal distribution.
Given that the mean age is 37 years and the standard deviation is 8 years, we calculate the lower boundary for the age group (29) by finding how many standard deviations below the mean it is: (29 - 37) / 8 = -1. Similarly, for the upper boundary (53), it's (53 - 37) / 8 = 2.
Since approximately 68% of the data falls within one standard deviation from the mean, and 95% within two standard deviations, the percentage of smartphone users between 29 and 53 years old falls within two standard deviations. Thus, we find the percentage between -1 and 2 standard deviations from the mean in the normal distribution table, which is 95.4%.
Therefore, the percent of smartphone users between 29 and 53 years old is approximately 95.4%. Therefore, the correct option is c) 95.4.