Q:

slader the internal revenue service claims it takes an average of 3.7 hours to complete a 1040 tax form, assuming th4e time to complete the form is normally distributed witha standard devait of the 30 minutes:a. What percent of people would you expect to complete the form in less than 5 hours?b. What time interval would you expect to include the middle 50 % of the tax filers?

Accepted Solution

A:
Answer:0.9953, 3.3629<x<4.0371Step-by-step explanation:Given that slader the internal revenue service claims it takes an average of 3.7 hours to complete a 1040 tax form, assuming th4e time to complete the form is normally distributed witha standard devait of the 30 minutes:If X represents the time to complete then X is N(3.7, 0.5) (we convert into uniform units in hours)a) percent of people would you expect to complete the form in less than 5 hours=[tex]100*P(x<5)\\= 0.9953[/tex]b) P(b<x<c) = 0.50we find that here c = 4.0371 and b = 3.3629Interval would be[tex](3.3629, 4.0371)[/tex]