Got a question on my math quiz asking the questions below. The question marked me as wrong, but didn’t tell me what I got wrong/
right. Could someone please explain this to me, and what I got wrong or right. Thank you so much.
1 answer:
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Answer:
95% Confidence interval for the variance:
95% Confidence interval for the standard deviation:
Step-by-step explanation:
We have to calculate a 95% confidence interval for the standard deviation σ and the variance σ².
The sample, of size n=8, has a standard deviation of s=2.89 miles.
Then, the variance of the sample is
The confidence interval for the variance is:
The critical values for the Chi-square distribution for a 95% confidence (α=0.05) interval are:
Then, the confidence interval can be calculated as:
If we calculate the square root for each bound we will have the confidence interval for the standard deviation:
<u>Answer:</u>
The geometric mean between each pair of numbers
<u>Solution:</u>
The Geometric mean between two numbers a and b is given as Geometric mean = --- eqn 1
The Geometric Mean is a special type of average where we multiply the numbers together and then take a square root for the numbers.
From question, given that two numbers are
Hence we can say “a” = =7
Similarly “b” = = 29
We have to find the geometric mean between “7” and “29”
By using equation 1,
Geometric mean between 7 and 29 = = 14.24
Hence the geometric mean between