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olga2289 [7]
3 years ago
5

Suppose a ten firm industry has total sales of $35 million per year. The largest firm have sales of $10 million, the third large

st firm has sales of $4 million, and the fourth largest firm has sales of $2 million . If fifth through tenth largest firms combined have annual sales of $ 12 million, the four-firm concentration ratio for this industry is
Mathematics
1 answer:
USPshnik [31]3 years ago
4 0

Answer:

7 million

hope it helps,

mark me a brainliest

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A classic rock radio station claims to play an average of 50 minutes of music every hour. However, it seems that every time you
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Answer:

a) 47.917-1.796\frac{2.811}{\sqrt{12}}=46.460    

47.917+1.796\frac{2.811}{\sqrt{12}}=49.374    

b) Null hypothesis: \mu =50

Alternative hypothesis: \mu \neq 50

And after analyze the interval obtained the upper limit not contains the value of 50, so then we can conclude that the claim is not satisfied for this case, and the population mean seems to be lower than 50 at 10% of significance.

Step-by-step explanation:

Previous concepts  

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".  

We have the following data: 44 49 45 51 49 53 49 44 47 50 46 48

And we can calculate the sample mean and deviation with the following formulas:

\bar X= \frac{\sum_{i=1}^n X_i}{n}

s= \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}

And replacing we got:

\bar X= 47.917, s= 2.811

\mu population mean (variable of interest)  

n=12 represent the sample size  

Part a: Calculate the confidence interval

The confidence interval for the mean is given by the following formula:  

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)  

The degrees of freedom are given:

df= n-1= 12-1=11

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,11)".And we see that t_{\alpha/2}=1.796

Now we have everything in order to replace into formula (1):

47.917-1.796\frac{2.811}{\sqrt{12}}=46.460    

47.917+1.796\frac{2.811}{\sqrt{12}}=49.374    

Part b

For this case the system of hypothesis are:

Null hypothesis: \mu =50

Alternative hypothesis: \mu \neq 50

And after analyze the interval obtained the upper limit not contains the value of 50, so then we can conclude that the claim is not satisfied for this case, and the population mean seems to be lower than 50 at 10% of significance.

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(4x-1) = 6<br> 2<br> How to solve rational equations
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Quick algebra 1 question for 25 points!<br><br> Only answer if you know the answer, Tysm!
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Using a quadratic regression equation, it is found that the prediction of volunteers in year 10 is of:

A. 47.

<h3>How to find the equation of quadratic regression using a calculator?</h3>

To find the equation, we need to insert the points (x,y) in the calculator.

In this problem, we have that the function initially increases, then it decreases, which means that it is a quadratic function. The points (x,y) to  be inserted into the calculator are given as follows:

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Inserting these points into the calculator, the prediction of y for a value of x is given as follows:

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Hence, when x = 10, the prediction is:

y = 0.702 x 10² - 4.726 x 10 + 23.857

y = 47.

Hence option A is correct.

More can be learned about a quadratic regression equation at brainly.com/question/24028025

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