In: Statistics and Probability
The following data show the number of hours per day
12 adults spent in front of screens watching television-related content. Complete parts a and b below.
1.31.3 |
4.84.8 |
4.34.3 |
4.94.9 |
7.67.6 |
6.96.9 |
|
5.45.4 |
3.33.3 |
5.15.1 |
1.11.1 |
2.12.1 |
8.18.1 |
a.a. |
Construct a 95% confidence interval to estimate the average number of hours per day adults spend in front of screens watchingtelevision-related content. |
The 95% confidence interval to estimate the average number of hours per day adults spend in front of screens watchingtelevision-related content is from nothing hours to___nothing ___hours.
Let X be the time (hrs per day) spent in front of screens watching television-related content by adults.
given data is
X |
1.3 |
4.8 |
4.3 |
4.9 |
7.6 |
6.9 |
5.4 |
3.3 |
5.1 |
1.1 |
2.1 |
8.1 |
By using excel function:
"=AVERAGE(A2:A13)"
"=STDEV(A2:A13)"
s=2.3105 ## standard deviation.
The 95% confidence interval to estimate the average number of hours per day adults spend in front of screens watchingtelevision-related content given by:
## by using t table t0.025,11=2.201
Hence The 95% confidence interval to estimate the average number of hours per day adults spend in front of screens watchingtelevision-related content is from 3.107 hrs to 6.03 hrs.