Answer:
See below
Step-by-step explanation:
<u>The sequence given</u>
<u>We see the pattern: triple the previous term plus 1</u>
- 2) 19 = 6*3 + 1
- 3) 58 = 19*3 + 1
- 4) 175 = 58*3 + 1
<u>Next two terms</u>
- 5) 175*3 + 1 = 526
- 6) 526*3 + 1 = 1579
<u>Following two terms</u>
- 7) 1579*3 + 1 = 4738
- 8) 4738*3 + 1 = 14215
Answer:
The standard deviation will remain unchanged.
Step-by-step explanation:
Given
Solving (a): The range
This is calculated as:
Where:
So:
Solving (b): The variance
First, we calculate the mean
The variance is calculated as:
So, we have:
Solving (c): The standard deviation
This is calculated as:
--- approximately
Solving (d): With the stated condition, the standard deviation will remain unchanged.
Answer:
$4884 to the nearest $.
Step-by-step explanation:
By proportion it is 2275 * (23*28) / (15*20)
= $4884
Answer: -0.71
Step-by-step explanation:
Answer:
We conclude that garbage collector's average picking is more than four tons of garbage per day.
Step-by-step explanation:
We are given the following information n the question:
First, we design the null and the alternate hypothesis
Significance level = 5% = 0.05
P-value = 0.04
- The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.
- P values evaluate how well the sample data support that the null hypothesis is true.
- P-value is a measure or indicator that helps us to know that whether the sample belongs to the population or not.
- Null hypothesis states that the sample belongs to the population.
- A high p-values states that the null hypothesis is true ad the sample belongs to the population.ll.
- A low p-value suggests that sample provides enough evidence that you the null hypothesis is not true and the sample does not belong to the population.
- We compare p-value to significance level to obtain our result.
Here,
p-value = 0.04 < Significance level = 0.05
Since the p-value is lower than the significance level, we fail to accept the null hypothesis and reject it. That is there were enough evidence to support the fact that sample does not belong to the population and we conclude that garbage collector's average picking is more than four tons of garbage per day.