Question

Lunch break:In a recent survey of 655 working Americans age 25-34,the average weekly amount spent on lunch was 46.10 with standard deviation $2.97.The weekly amounts are approximately bell-shaped Estimate the percentage amounts that are between 37.19 and 55.01 Approximately 68% Approximately 75% Approximately 95% Approximately 88.9% Almost All

Answer 1

Given:

= 46.10, = 2.97

Estimate the percentage of amounts that are between 37.19 and 55.01

The Empirical rule for any Normal distribution is given by..

• 68% of the observation fall in the interval   
• 95% of the observation fall in the interval   
• Almost all the observation fall in the interval

The value 37.19 is three standard deviation below the mean,

Since,

= - 3

= 46.10 - 3*2.97

= 37.19

The value 55.01 is three standard deviation above the mean,

Since,

= + 3

= 46.10 + 3*2.97

= 55.01

ANSWER: E. Almost all