Question

Researchers found that a person in a particular country spent an average of

4.6

hours a day watching TV in 2010. Assume the population standard deviation is

1.6

hours per day. A sample of

40

people averaged

4.9

hours of television viewing per day. Does this result support the findings of the​ study?

z Subscript x overbar

equalsnothing

​(Round to two decimal places as​ needed.)

Upper P left parenthesis x overbar greater than 4.9 right parenthesis

equalsnothing

​(Round to four decimal places as​ needed.)

Does this result support the findings of the​ study?

The probability is

▼

less

greater

than​ 0.05, which means the result

▼

supports

does not support

the findings of the study.

Answer 1

Solution :

Given that ,

= 4.6

= / n = 1.6 / 40 = 0.25

P( > 4.9) = 1 - P( < 4.9 )

= 1 - P[( - ) / < (4.9 - 4.6) /0.25]

= 1 - P(z < 1.2)   

= 1 - 0.8849

= 0.1151

The  probability is greater than 0.05, which means the result does not support the findings of the study.