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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

3 years ago

1) There are 43 girls and 25 boys in the Valley View Middle School chorus. What is the ratio of girls to boys? 43 to 25, or 43:2

Arturiano [62]

Answer:

Oh gosh. Im not positive but I think it would be 43:25. Please dont get mad at me if its wrong!

Step-by-step explanation:

I am so sorry if its wrong but im not very sure :-(

6 0

2 years ago

How to solve: a parade traveled 4 miles in 2 hours. how far did tge parade travel per minute?

jek_recluse [69]

There's a really easy way to convert any units to other units.

Right now, we have the fraction (4 miles) / (2 hours).

We want to find a fraction that's exactly equal to that one,
but has the units of (miles/minute) or maybe (feet/minute).

Just take the original fraction, and multiply it by some other
fractions.

Each fraction you multiply it by must have the value of ' 1 ' so
you don't change the value of the original fraction. But it can
have different units, that cancel with other units to eventually
give you the units you want.

(4 miles / 2 hours) times (1 hour / 60 minutes)

The second fraction is equal to ' 1 ', because the top and the bottom
have the same value ... 1 hour is the same thing as 60 minutes.

Multiply the fractions: (4 miles x 1 hour) / (2 hour x 60 minutes)

Now you can cancel 'hour' from the top and the bottom, and you have

   (4 miles x 1) / (2 x 60 minutes)

   = (4 miles) / (120 minutes)

   = (4 / 120) mile/minute = 0.0333... mile / minute .

Let's do it again, go a little farther, and get an answer that
might mean more and feel more like an answer.

   (4 miles) / (2 hours) x (5280 feet / mile) x (1 hour / 60 minutes)

The 2nd and 3rd fractions both have the value of ' 1 ', because
the top is equal to the bottom.

Multiply all three fractions:

   (4 miles x 5280 feet x 1 hour) / (2 hours x 1 mile x 60 minutes)

You can cancel both 'mile' and 'hour' out of the top and bottom,
and look what you have left:

   (4 x 5280 feet x 1) / (2 x 1 x 60 minutes)

= (4 x 5280) / (2 x 60) feet / minutes

= (21,120 / 120) feet/minute =    176 feet per minute

3 0

3 years ago

Read 2 more answers

Write the equations for 74,2 and 49

serious [3.7K]

Answer:

$x+10y=94$