Answer: (14.4, 17.2)
Step-by-step explanation: We are to construct a 98% confidence interval for mean household usage of electricity.
We have been given that
Sample size (n) = 872
Sample mean (x) = 15.8
Population standard deviation (σ) = 1.8
The formulae that defines the 98% confidence interval for mean is given below as
u = x + Zα/2 × σ/√n...... For the upper limit
u = x - Zα/2 × σ/√n...... For the lower limit
Zα/2 = critical value for a 2% level of significance in a two tailed test = 2.33
By substituting the parameters we have that
For upper tailed
u = 15.8 + 2.33 × (1.8/√872)
u = 15.8 + 2.33 (0.6096)
u = 15.8 + 1.4203
u = 17.2
For lower tailed
u = 15.8 - 2.33 × (1.8/√872)
u = 15.8 - 2.33 (0.6096)
u = 15.8 - 1.4203
u = 14.4
Hence the 98% confidence interval for population mean usage of electricity is (14.4kwh, 17.2kwh)
Okay, so first, lets determine whether or not these are equivalent, which will lead us to our answer.
8/12 < lets simplify this
8/4 = 2
12/4 = 3
8/12 = 2/3
10/25
10/5 = 2
25/5 = 5
10/25 = 2/5
2/5 ≠ 2/3
These ratios are not proportional.
Answer:
The sample proportion is 0.158.
Step-by-step explanation:
In a confidence interval of proportions, we have the lower bound and the upper bound of the interval. The sample proportion is the halfway points between these bounds, that is, the sum of these bounds divided by 2.
In this problem, we have that:
Lower bound: 0.142
Upper bound: 0.174
Sample proportion: (0.142+0.174)/2 = 0.158
The sample proportion is 0.158.
Answer:1 and 2:4
Step-by-step explanation: Because if it's fair you have a 50 percent chance of heads or tails. and if u write it as a ratio you would get 2_4 you will most likely learn this in 7th grade or 6th
4.560, 4.561, 4.562, 4.563, 4.564......all of these, when rounded to the nearest hundredth = 4.56
