Question

In: Statistics and Probability

The following data show the number of hours per day 12 adults spent in front of...

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 watching​television-related content.

The 95% confidence interval to estimate the average number of hours per day adults spend in front of screens watching​television-related content is from nothing hours to___nothing ___hours.

Solutions

Expert Solution

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 watching​television-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 watching​television-related content is from 3.107 hrs to 6.03 hrs.


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