Answer:
We <em>fail to reject H₀ </em>as there is insufficient evidence at 0.5% level of significance to conclude that the mean hours of TV watched per day differs from the claim.
Step-by-step explanation:
This is a two-tailed test.
We first need to calculate the test statistic. The test statistic is calculated as follows:
Z_calc = X - μ₀ / (s /√n)
where
- X is the mean number of hours
- μ₀ is the mean that the sociologist claims is true
- s is the standard deviation
- n is the sample size
Therefore,
Z_calc = (3.02 - 3) / (2.64 /√(1326))
= 0.2759
Now we have to calculate the z-value. The z-value is calculated as follows:
z_α/2 = z_(0.05/2) = z_0.025
Using the p-value method:
P = 1 - α/2
= 1 - 0.025
= 0.975
Thus, using the positive z-table, you will find that the z-value is
1.96.
Therefore, we reject H₀ if | Z_calc | > z_(α/2)
Thus, since
| Z_calc | < 1.96, we <em>fail to reject H₀ </em>as there is insufficient evidence at 0.5% level of significance to conclude that the mean hours of TV watched per day differs from the claim.
1) Put all the numbers in numerical order :
15, 23, 24, 25, 25, 25, 27
The median is the middle of the numbers : 25
Mode is the value that occurs more often : 25
2) Put all the numbers in numerical order :
2, 3, 3, 3, 3, 4, 4, 5
The middle of the numbers is 3 and 3
so, 3 + 3 = 6
6 : 2 = 3
Median = 3
Mode = 3
3) Put all the numbers in numerical order :
5, 7, 8, 9, 9, 10, 10, 10, 12
Median = 9
Mode = 10
4) Put all the numbers in numerical order :
0, 1, 1, 2, 2, 3, 3, 3, 4, 4
Median
2 + 3 = 5 : 2 = 2,5
Mode = 3
5) Put all the numbers in numerical order :
12, 13, 15, 18, 25
Median = 15
Mode = 0 (None)
6) Put all the numbers in numerical order :
1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5
Median = 3
Mode = 3 and 4
7) Put all the numbers in numerical order :
6, 8, 9, 10, 10, 12
Median
9 + 10 = 19 : 2 = 8
Mode = 10
8) Put all the numbers in numerical order :
28, 30, 30, 30, 30, 31, 31, 31, 31, 31, 31, 31
Median
31 + 31 = 62 : 2 = 31
Mode = 31
I think the correct answer is A. 1
