B) is the answer because 22+22+18+18 will equal 80 and 22-18 is five
24.8 < μ < 27.0
24.2 < μ < 27.6
24.4 < μ < 27.4
The 95% confidence interval for the true mean weight, μ, of all packages received by the parcel service is;
Option A; 24.6 < μ < 27.2
We are given;
Sample mean; x' = 25.9 pounds
Standard deviation; σ = 3.8 pounds
Confidence level; CL = 95%
Sample size; n = 34
Now formula for confidence interval is;
CI = x' ± z( σ/√n)
Where z is critical value at given confidence level.
z at CL of 95% is; z = 1.96
Thus;
CI = 25.9 ± 1.96(3.8/√34)
CI = 25.9 ± 1.3
CI = (25.9 - 1.3), (25.9 + 1.3)
CI = (24.6, 27.2)
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Answer:
24.6 < μ < 27.2
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 25.9 - 1.3 = 24.6 pounds.
The upper end of the interval is the sample mean added to M. So it is 25.9 + 1.3 = 27.2 pounds.
So the correct answer is:
24.6 < μ < 27.2
The number that has the same value as 30 tens is 300.
To determine number that has the same value as 30 tens, we need to understand the "place-value" system. Tens represent second digit in a number, with each ten being worth 10 units.
Since we have 30 tens, we multiply 30 by 10 to find total value.
⇒ 30 × 10 = 300,
Therefore, the number that has the same value as 30 tens is 300. This means that 300 represents the quantity of 30 tens or 30 groups of 10, reflecting the concept of place value and multiplication by powers of 10.
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