Please help me on this its reading
2 answers:
You might be interested in
Answer:
a) Mean = 133, Standard deviation = 2.5
b) Normal distribution
c) 0.0026
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 4
Mean = 133
Standard deviation = 5
a) Mean and the standard deviation of the sampling distribution of the sample mean for the four observations each day.
The sampling distribution has a mean equal to the population mean
The standard deviation of the sampling distribution is given by:
b) Shape of the sampling distribution
Central limit theorem:
When a large sample is drawn from a normal distribution, then the distribution of sample means approaches a normal distribution.
Since the distribution is normal, the sampling distribution of the sample mean will be bell shaped and follow a normal distribution.
c) P(sample mean exceeds 140)
Calculation the value from standard normal z table, we have,
0.0026 is the probability that the sample mean exceeds 140.
Answer:
a)
Since t is between 0 and 15, and the house was purchased 8 years ago, we have two pairs of values:
- t = 0, V(0) = 42000
- t = 8, V(8) = 67500
<u>Find the slope, m:</u>
- m = (67500 - 42000)/8 = 3187.50
The value of b is 42000, since at t = 0, V = 42000
<u>So the equation is:</u>
- V = 3187.50t + 42000
b)
The graph is attached.
When V = 72500, t = 9.6 (approximately)
c)
When V = 74000
- 74000 = 3187.5t + 42000
- 3187.5t = 32000
- t = 32000/3187.5
- t ≈ 10 years (rounded down)
d)
When V = 80250
- 80250 = 3187.5t + 42000
- 3187.5t = 80250 - 42000
- 3187.5t = 38250
- t = 38250/3187.5
- t = 12 years
