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KIM [24]
3 years ago
14

Suppose you take an SRS of size 1000 of Connecticut students eligible to take the SAT and find that 85% plan to take the SAT dur

ing the 2010-2011 school year. Under the null hypothesis H0: p = 0.81, the sampling distribution has mean = _____ and standard deviation = 0.0124. Answer to two decimal places.
Mathematics
1 answer:
nadezda [96]3 years ago
7 0

Answer:

\mu_{p}=p=0.81

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

So under the null hypothesis the mean for the population proportion is p

\mu_{p}=p=0.81

And the standard deviationis given by:

\sigma_{p}=\sqrt{\frac{p_0(1-p_o)}{n}}=\sqrt{\frac{0.81(1-0.81)}{1000}}=0.0124

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Number 49....I need help
sergiy2304 [10]
Now, keep in mind that, we'll be using 25mile intervals, notice, that at a cost of 200 bucks, it went for 50 miles, now the charges are just for every 25miles only, so, if you drive 30 miles, you pay for 25miles and if you drive for 49 miles, you still only pay for 25 miles, but because 50/25 is 2 intervals, then if you drive for 50 miles, you're paying for 2 intervals of 25miles, not just one.

now, also let's keep in mind that, when the car was driven for 200 miles, that's 200/25 or 8 25mile intervals, so the 25mile charge kicked in 8 times.

\bf \stackrel{cost}{y}=\stackrel{fixed~charge}{F}+\stackrel{25mile~intervals}{m}\quad \stackrel{25mile~charge}{x}\implies y=F+mx\\\\
-------------------------------\\\\
\begin{cases}
200=F+2x\implies 200-2x=\boxed{F}\\
245=F+8x\\
----------\\
245=\boxed{200-2x}+8x
\end{cases}
\\\\\\
45=6x\implies \cfrac{45}{6}=x\implies \cfrac{15}{2}=x\impliedby 
\begin{array}{llll}
\textit{so the 25mile charge is}\\
\textit{7 bucks and 50cents}
\end{array}
\\\\\\


\bf 200=F+2\left( \frac{15}{2} \right)\implies 200=F+15\implies 185=F
\\\\\\
\textit{and the \underline{fixed charge} is 185 bucks then, let's check for 450}
\\\\\\
\boxed{y=185+\frac{15}{2}x}\qquad 
\begin{cases}
450~miles\\\\
\cfrac{450}{25}\implies 18~\textit{\underline{25mile intervals}}\\\\
x=18
\end{cases}
\\\\\\
y=185+\cfrac{15}{2}\cdot 18\implies y=185+135\implies y=320
7 0
3 years ago
Last week Kiwi filled his 16-gallon tank with gas. On the average, his car burns 0.03 gallon of gas per mile. If Kiwi has 4 gall
Evgen [1.6K]

Answer: 400 Miles


Step-by-step explanation:

Okay to find the answer you must use how many gallons he has already used which is 12 Gallons.


They say the average is 0.03 Gallons per Mile.


You divide 12/0.03 to get 400 Miles. (:

8 0
3 years ago
Read 2 more answers
Emma has a board 5 feet long and cuts it into 6 equal pieces how long in feet is eacgpeace if the board in a fraction
il63 [147K]

Answer:

Imagine an easier version of this problem:  You have a board 5 feet long that you must cut (divide, right?) into two equal parts.  It is probably clear to you that you simply divide the length (5) by the number of parts you're dividing it into (2) to obtain the length of each piece (2.5 feet).

Use the same method for your problem 5 feet divided by 6 is 0.83 feet per piece.

We do not ordinarily divide feet into decimal portions, but instead into inches.  Since an inch is 1/12 of a foot, you could simply say 5/6 = how many twelfths?  or 5/6 = n/12  Solve this by inspection or by cross multiplying 5 times 12 equals n times 6.  So n must equal 10, and your pieces of board are each 10 inches long.

4 0
2 years ago
What is 14.1% of the 132 mL rounded to the nearest 10th
Anastasy [175]
132 x 14.1% = 18.612


So 18.612 rounded to 18.6
5 0
3 years ago
(08.01 MC)Below are the data collected from two random samples of 500 American adults on the number of hours they spend doing le
Mazyrski [523]

Answer:

Dan is correct

Step-by-step explanation:

From the question, we have:

Hours:1\ 2\ 3\ 4\ 5

Required

The average

The average hour is calculated using:

\bar x = \frac{\sum x}{n}

So, we have:

\bar x = \frac{1+2+3+4+5}{5}

\bar x = \frac{15}{5}

\bar x = 3

<em>Dan calculated the mean as 3; while Bret calculated the mean as 4.</em>

<em>Hence, we can conclude that Dan s correct</em>

4 0
2 years ago
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