Dr. Grumpy thinks that his students spend too long on Facebook each week. Being

Question

Dr. Grumpy thinks that his students spend too long on Facebook each week. Being technically challenged himself, he thinks people should spend no longer than 1 hour on social media per week. He makes all his students tell him how long they spend on social media per week in hours, and finds that: M = 4.3 hrs, SD = 2.2hrs, and N = 49.    5c. Calculate a two-tailed t-test comparing to the null hypothesis that number of hours spent on social media is 1 hour. Use p = .05 (two-tailed) for alpha what is the t-test value?

Explanation / Answer

Given that,
population mean(u)=1
sample mean, x =4.3
standard deviation, s =2.2
number (n)=49
null, Ho: =1
alternate, H1: !=1
level of significance, = 0.05
from standard normal table, two tailed t /2 =2.011
since our test is two-tailed
reject Ho, if to < -2.011 OR if to > 2.011
we use test statistic (t) = x-u/(s.d/sqrt(n))
to =4.3-1/(2.2/sqrt(49))
to =10.5
| to | =10.5
critical value
the value of |t | with n-1 = 48 d.f is 2.011
we got |to| =10.5 & | t | =2.011
make decision
hence value of | to | > | t | and here we reject Ho
p-value :two tailed ( double the one tail ) - Ha : ( p != 10.5 ) = 0
hence value of p0.05 > 0,here we reject Ho
ANSWERS
---------------
test statistic: 10.5
critical value: -2.011 , 2.011

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