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2 years ago

Y=[? ]° Please help me!!

Mathematics

1 answer:

chubhunter [2.5K]2 years ago

3 0

“y” is a part of a straight angle, so
131 + y = 180
y = 180 - 131
y = 49 [degrees].

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When obtaining a confidence interval for a population mean in the case of a finite population of size N and a sample size n whic

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Answer:

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$142.8 \leq\mu\leq158.4$

Step-by-step explanation:

We have to calculate a 95% confidence interval for the mean of a finite population.

The error is multiplied by the following finite population correction factor:

$cf=\sqrt{\frac{N-n}{N-1} }$

The standard deviation can be estimated as

$\sigma=\frac{s}{\sqrt{n}} \sqrt{\frac{N-n}{N-1} } =\frac{24.4}{\sqrt{32} }* \sqrt{\frac{200-32}{200-1} }=3.963$

The 95% confidence interval has a z value of 1.96, so it becomes:

$M-z*\sigma_c\leq\mu\leq M+z*\sigma_c\\\\150.6-1.96*3.963\leq\mu\leq 150.6+1.96*3.963\\\\ 142.8 \leq\mu\leq 158.4$

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