Answer:
0.25
Step-by-step explanation:
11/12 = 0.917
2/3 = 0.667
0.917 - 0.667 = 0.25
Answer: Only the second image
Step-by-step explanation:
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.
13 + 3i
15 - 6i - 2 + 9i → Sum
collect like terms
(15 - 2) + ( - 6i + 9i) =13 + 3i
<em>Answer:</em>
<em> 200.52 m²</em>
<em>Step-by-step explanation:</em>
<em>A = 12² + π·6²/2</em>
<em>= 144 + 36π/2</em>
<em>= 144 + 18×3.14</em>
<em>= 144 + 56.52</em>
<em>= 200.52 m²</em>
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