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Nuetrik [128]
3 years ago
7

The following data represent a random sample of the ages of players in a baseball league. Assume that the population is normally

distributed with a standard deviation of 1.8 years. Find the 95% confidence interval for the true mean age of players in this league. Round your answers to two decimal places and use ascending order.
Age: 32, 24, 30,34,28, 23,31,33,27,25
Mathematics
1 answer:
BaLLatris [955]3 years ago
4 0

Answer:

Step-by-step explanation:

n = 10

Mean, m = (32 + 24 + 30 + 34 + 28 + 23 + 31 + 33 + 27 + 25)/10

= 28.7

From the information given,

Standard deviation, s = 1.8

For a confidence level of 95%, the corresponding z value is 1.96.

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

It becomes

28.7 ± 1.96 × 1.8/√10

= 28.7 ± 1.12

The lower end of the confidence interval is 28.7 - 1.12 = 27.58 years

The upper end of the confidence interval is 28.7 + 1.12 = 29.82 years

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Multiplying mixed numbers and whole numbers 1 1/2 x 2/1 =
Nezavi [6.7K]

Answer: 3

Step-by-step explanation:

1. Convert the mixed number to fraction:

- Multiply the denominator of the fraction by the whole number.

- Add the product obtained and the numerator of the fraction.

- Write the sum obtained as the numerator and rewrite the original denominator of the fraction.

Then:

1\ 1/2=\frac{(1)(2)+1}{2}=\frac{3}{2}

2. Multiply the numerators.

3. Multiply the denominator.

4. Reduce the fraction.

Then:

(\frac{3}{2})(\frac{2}{1})=\frac{6}{2}=3

5 0
3 years ago
Is 3254 times 105 plus 12 12 times greater than 1256 x 105
vladimir1956 [14]

The two quantities we want to analyze are

3254 \times 105 + 12

and

1256 \times 105

We wonder if the first if 12 times the second. Let's compute them both to begin with:

3254 \times 105 + 12 = 341682

and

1256 \times 105 = 131880

So, the question is: is 341682 twelve times 131880? The check is very simple:

131880 \times 12 = 1582560>341682

So the answer is no

6 0
4 years ago
You visit a farm and notice that white chickens lay white eggs and colored chickens lay brown eggs, so you decide that only whit
klio [65]

The correct answer is A. Inductive

Explanation:

Inductive reasoning occurs as one specific case or example is used to create broad ideas or conclusions, which means inductive reasoning involves generalization. This is the opposite of deductive reasoning in which a general statement or idea is applied to a specific case.

According to this, the example presented is part of inductive reasoning because in this a specific observation about the color of chickens and their eggs lead the individual to assume all white chickens lay white eggs and all colored chickens lay brown eggs, which means a specific case is used to get to a broad conclusion through generalization.

7 0
3 years ago
Read 2 more answers
What is the value of z in the equation 3z + 5 = 4z − 8?<br> hurry
Bad White [126]
Z=13 I had a similar problem before and I've gotten it right.
8 0
3 years ago
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Let a= x^2 +4. Rewrite the following equation in terms of a and set it equal to zero.
dusya [7]

Answer:


If:

a=x^{2}+4    (1)


And we have to rewrite the following expresion in terms of a:


{(x^{2}+4)}^{2}+32=12x^{2}+48   (2)


Firstly we have to rearrange the right side of equation (2) in terms of  x^{2}+4, factorizing by the common factor:


{(x^{2}+4)}^{2}+32=12(x^{2}+4)


Then, we can substitute x^{2}+4 by a:


a^{2}+32=12a


And set it equal to zero:

a^{2}-12a+32=0>>>>This is the resulting equation


Now, each term of an algebraic expresion (like the equation above) is composed of sign, coefficient, variable and exponent. The terms are separated from each other by the plus sign (+) or the minus sign (-).



In this case, the variable is a and the number that multiplies the variable (the coefficient) is -12, whereas the constant (which is the term with no variable) is 32





6 0
3 years ago
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