True or False: A p is the probability that the results are not due to chance, the probability that the null hypothesis (H0) is f
1 answer:
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Answer: $3,664.21
Formula:
- P = principle/original amount = $3000
- r = rate of interest = 4% = 0.04
- t = time period (in years) = 5
- A = the new amount
- e = Euler's number ≈ 2.718...
Substitute in the values:
<u>Approximately $3,664.21</u>
<em>I think this is how you solve it o_O</em>
Given Information:
Mean time to finish 400 meter dash = μ = 65 seconds
Standard deviation to finish 400 meter dash = σ = 2.5 seconds
Confidence level = 95%
Required Information:
95% confidence interval = ?
Answer:
Step-by-step explanation:
In the normal distribution, the empirical rule states approximately 68% of all the data lie within 1 standard deviation from the mean, approximately 95% of all the data lie within 2 standard deviations from the mean and approximately 99.7% of all the data lie within 3 standard deviations from the mean.
The confidence interval for 95% confidence limit is given by
Since approximately 95% of all the data lie within 2 standard deviations from the mean. μ is the mean time Carson takes to finish 400 meter dash and σ is the standard deviation.
Therefore, the 95% confidence interval is between 60 to 70 seconds
What does it mean?
It means that we are 95% confident that the Carson's mean to finish 400 meter dash is within the interval of (60, 70).