3 years ago

PLEASE HELP!! 10 POINTS!! WILL MARK BRAINLIEST!!

Mathematics

1 answer:

Hoochie [10]3 years ago

7 0

An octagon has 8 sides. Each side is 2a + 1 units.

8(2a + 1)

= 16a + 8

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A researchers wants to determine the mean weight of avocados grown in Southern California. The population from which the sample

natka813 [3]

Answer: (0.465, 5.535)

Step-by-step explanation:

Formula to calculate the confidence interval (<em>when population standard deviation is unknown</em>) is given by :-

$\overline{x}\pm t_{\alpha/2} \dfrac{s}{\sqrt{n}}$

, where $\overline{x}$ = sample mean.

s= sample standard deviation.

n= Sample size.

$t_{\alpha/2}$ = critical value

By considering the given information , we have

$\overline{x}=6$

s=0.75

n= 9

Significance level = $\alpha=0.1$ [1-0.90=0.1]

By using students' t distribution -table , the critical value for 95% confidence level :

$t_{\alpha/2 , n-1}=t_{0.1/2,\ 8}=1.86$

[Note: degree of freedom = n-1]

Now, the 90% confidence interval for the true mean weight of these Southern California avocados will be :

$6\pm (1.86) \dfrac{0.75}{\sqrt{9}}$

$6\pm (1.86) \dfrac{0.75}{3}$

$6\pm (1.86) 0.25$

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Hence, the required confidence interval =(0.465, 5.535)

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3 years ago

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