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4 years ago

Question 9 of 10

Mathematics

1 answer:

telo118 [61]4 years ago

5 0

Answer:

The answer is A

Step-by-step explanation:

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A random sample of 10 parking meters in a beach community showed the following incomes for a day. Assume the incomes are normall

Vlad1618 [11]

Answer: (2.54,6.86)

Step-by-step explanation:

Given : A random sample of 10 parking meters in a beach community showed the following incomes for a day.

We assume the incomes are normally distributed.

Mean income : $\mu=\dfrac{\sum^{10}_{i=1}x_i}{n}=\dfrac{47}{10}=4.7$

Standard deviation : $\sigma=\sqrt{\dfrac{\sum^{10}_{i=1}{(x_i-\mu)^2}}{n}}$

$=\sqrt{\dfrac{(1.1)^2+(0.2)^2+(1.9)^2+(1.6)^2+(2.1)^2+(0.5)^2+(2.05)^2+(0.45)^2+(3.3)^2+(1.7)^2}{10}}$

$=\dfrac{30.265}{10}=3.0265$

The confidence interval for the population mean (for sample size <30) is given by :-

$\mu\ \pm t_{n-1, \alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given significance level : $\alpha=1-0.95=0.05$

Critical value : $t_{n-1,\alpha/2}=t_{9,0.025}=2.262$

We assume that the population is normally distributed.

Now, the 95% confidence interval for the true mean will be :-

$4.7\ \pm\ 2.262\times\dfrac{3.0265}{\sqrt{10}} \\\\\approx4.7\pm2.16=(4.7-2.16\ ,\ 4.7+2.16)=(2.54,\ 6.86)$

Hence, 95% confidence interval for the true mean= (2.54,6.86)

7 0

4 years ago

Pt 2) Just find the measure

Radda [10]

Step-by-step explanation:

<YOZ = 60°

When two lines intersect each other, then four angles are formed. The angles that are opposite to each other at the intersection point are known as vertically opposite angles. VERTICALLY OPPOSITE ANGLES ARE ALWAYS EQUAL.

If < VOX = 90⁰, then <VOW = 60⁰.

<VOW and <YOZ are vertically opposite angles.

6 0

2 years ago

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Question 7 of 10

leva [86]

3.2 x3.2=10.24 couldn’t see full question brain me pls

7 0

3 years ago

One side of a square is 7 m long what is its area

Step2247 [10]

Answer: 49

Step-by-step explanation:

a=l*w

a= 7*7

a=49

8 0

4 years ago

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Is this a right triangle? Use the Pythagorean Theorem to find out! [picture above]

S_A_V [24]

No, 10^2 + 14^2 ≠ 18^2

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4 years ago