Question

Researchers found that a person in a particular country spent an average of 5.8 hours a day watching TV in 2010. Assume the population standard deviation is 1.7 hours per day. A sample of 40 people averaged 6 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 6 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 ▼ does not support supports the findings of the study

Answer 1

Solution :

Given that ,

mean = = 5.8

standard deviation = = 1.7

n = 40

= = 5.8 and

= / n = 1.7 / 40 = 0.2688

P( > 6) = 1 - P( < 6)

= 1 - P(( - ) / < (6 - 5.8) / 0.2688)

= 1 - P(z < 0.74)

= 1 - 0.7704 Using standard normal table.

= 0.2296

Probability = 0.2296

Yes. Does this result support the findings of the​ study.