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Alborosie
4 years ago
6

PLEASE I NEED HELP WITH MY MATHS ANGLES HOMEOWRK

Mathematics
1 answer:
alekssr [168]4 years ago
8 0

Answer:

that is the solution to the 2nd question

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A survey of 25 randomly selected customers found the ages shown (in years). The mean is 32.64 years and the standard deviation i
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See below for answers and explanations

Step-by-step explanation:

<u>Part A</u>

Assuming that conditions have been met for the interval, we use the formula \displaystyle CI=\bar{x}\pm t\frac{s}{\sqrt{n}} where \bar{x} represents the sample mean, t represents the critical value, s represents the sample standard deviation, and n is the sample size.

The critical value of t for an 80% confidence level with degrees of freedom df=n-1=25-1=24 is equivalent to t=1.317836

Thus, we can compute the confidence interval:

\displaystyle CI=\bar{x}\pm t\frac{s}{\sqrt{n}}\\\\CI=32.64\pm1.317836\biggr(\frac{9.39}{\sqrt{25}}\biggr)\\\\CI\approx\{30.17,35.11\}

Therefore, we are 80% confident that the true mean age of all customers is between 30.17 and 35.11 years.

<u>Part B</u>

The margin of error is \displaystyle t\frac{s}{\sqrt{n}}=1.317836\biggr(\frac{9.39}{\sqrt{25}}\biggr)\approx2.47

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