8 ÷ (-2) = -2 × (-3) =
2 answers:
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Answer:
a: 980.2
b: 26.4
c: 2.7%
d: 953.8 < µ < 1006.4
Step-by-step explanation:
We need to construct a 99% confidence interval from our sample data. The sample size is 11, so we will use t-distribution. Our degrees of freedom are 10, our t-value we will need is: 3.169
x = 980.2, s = 27.6
We will use these values to construct the confidence interval
See attached photo for the construction of the confidence interval...
A point estimate is the the sample mean of 980.2
The standard error is 26.4 (calculated on the attached photo)
The margin of error is how many percent the confidence interval may be off by. In this case, it's 26.4/980.2 = 0.0269, or 2.7%
The meaning of the confidence interval tells us that we are 95% sure that the true population mean is within the range of 953.8 to 1006.4 grams
Solve:
We need to isolate k, so multiply both sides by the denominator, which is 64. When we do that, the fraction will cancel and we get:
If you want to check, plug in your answer to the original equation and see if it is true:
This statement is true, so .