The Nielsen Compony reported that US residents aged 18 to 24

The Nielsen Compony reported that U.S. residents aged 18 to 24 years spent on average of 35.5 hours per week using the internet on a computer. You think this is too low compared with the amount of time that students at your university spend using the Internet on a computer and decide to do a survey to verify this. You collect an SRS n = 49 students and obtain x = 40.1 hours with standard deviation s = 27.86 hours.

What is the test statistic of the test? Round your answer to at least 4 decimal places. I don\'t know what test statistic they are referring to specifically. Please halp me out on this one. ALSO,

The Nielsen Compony reported that U.S. residents aged 18 to 24 years spent on average of 35.5 hours per week using the internet on a computer. You think this is too low compared with the amount of time that students at your university spend using the Internet on a computer and decide to do a survey to verify this. You collect an SRS n = 49 students and obtain x = 40.1 hours with standard deviation s = 27.86 hours. What is the test statistic of the test? Round your answer to at least 4 decimal places. I don\'t know what test statistic they are referring to specifically. Please help me out on this one. ALSO, What is the P-value of the test? At the 10 level of significance, what is your conclusion?

Solution

test statstics =(x-mu)/(sigma/sqrt(n)) =(40.1-35.5)/(27.86/7) = 1.1557

P-value for 1.1557 and degree of freedom 48 = 0.1267

Since p-value is greater than 0.10, there is no sufficient evidence to reject.