Using the order of operations, what should be done first to evaluate 6 + StartFraction (negative 5 minus 7) over 2 EndFraction m
2 answers:
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Answer:
1. The error in the assumption is taking the sample mean, , as being equal to the population mean, μ
2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;
Step-by-step explanation:
We note that from the central limit theorem as the size of the sample, n, becomes more and more larger, the mean of the sample, , approaches that of the population mean, μ, therefore as the grocery store manager uses the sample mean as the population mean's point estimate an error will be observed based on the size of the sample compared to the population, where the difference between the two means (the population mean and the sample mean) is
1. The error in the assumption is taking the sample mean, , as being equal to the population mean, μ
2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;
Where:
σ = Population standard deviation = $30
z = z value at 95% confidence level = 1.96
= Sample mean $160
n = Sample size = 10
Plugging in the values, we have;
$141.4 < < $178.6
Hence the expected value of the mean should be between $141.4 and $178.6.
see the attached figure to better understand the problem
we have that
Step 1
<u>Find the value of AC</u>
we know that
in the right triangle ABC
substitute the values in the formula
Step 2
<u>Find the value of BC</u>
we know that
in the right triangle ABC
Applying the Pythagorean Theorem
substitute the values
Step 3
<u>Find the value of BD</u>
we know that
in the right triangle BCD
Applying the Pythagorean Theorem
substitute the values
therefore
<u>the answer is</u>
the length of BD is 11.93 units
