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umka2103 [35]
3 years ago
12

The owner of Limp Pines Resort wanted to know the average age of its clients. A random sample of 25 tourists is taken. It shows

a mean age of 46 years with a standard deviation of 5 years. The width of a 98 percent confidence interval for the true mean client age is approximately:_______.
A. ± 2.492 years.
B. ± 1.711 years.
C. ± 2.326 years.
D. ± 2.797 years.
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
7 0

Answer:

C. ± 2.326 years.

Step-by-step explanation:

We have the standard deviation for the sample. So we use the t-distribution to solve this question.

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.98}{2} = 0.01

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.01 = 0.99, so z = 2.326/tex]Now, find the width of the interval[tex]W = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this question:

\sigma = 5, n = 25

So

W = z*\frac{\sigma}{\sqrt{n}}

W = 2.326*\frac{5}{\sqrt{25}}

The correct answer is:

C. ± 2.326 years.

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Which number is between 7.17 x 10^4 and 8.17 x 10^5
xxTIMURxx [149]

Answer:

71701,71702, 71703 etc

Step-by-step explanation:

Given :

7.17×10^{4} and 8.17×10^{5}

Now

7.17×10^{4}=71700 and

8.17×10^{5}=817000

There are so many numbers between 71700 and 817000

Like: 71701,71702, 71703 etc

8 0
3 years ago
The quotient of a number t and 4.2 is at most 15.​
frosja888 [35]

Answer:

t \leq 63

Step-by-step explanation:

Quotient of two numbers also means the result of the two numbers after division.

If the quotient of a number t and 4.2 is at most 15., this can be expressed using the inequality;

\dfrac{t}{4.2}\leq  15 <em>(note that at most 15 means that the highest value we can have is 15 after taking the quotient of the number hence the reason of the inequality sign.)</em>

<em></em>

On solving the inequality for the variable t

\dfrac{t}{4.2}\leq  15\\\\multiply \ both \ sides \ by \ 4.2\\\\\dfrac{t}{4.2}* 4.2\leq  15 * 4.2\\\\t \leq 63

<em>Hence t is at most 63</em>

6 0
3 years ago
The density of a fluid is given by the empirical equation rho=70.5 exp(8.27 X 10^-7 P) where rho is density (lbm/ft^3) and P is
jasenka [17]

Answer:

(a) The unit of 70.5 is lbm/ft^3 and the unit of 8.27×10^-7 is in^2/lbf

(b) density = 0.1206g/cm^3

(c) rho = 0.1206exp(8.27×10^-7P)

Step-by-step explanation:

(a) The unit of 70.5 is the same as the unit of rho which is lbm/ft^3. The unit of 8.27×10^-7 is the inverse of the unit of P (lbf/in^2) because exp is found of a constant. Therefore, the unit of 8.27×10^-7 is in^2/lbf

(b) P = 9×10^6N/m^2

rho = 70.5exp(8.27×10^-7× 9×10^6) = 70.5exp7.443 = 70.5×1.71 = 120.6kg/m^3

rho = 120.6kg/m^3 × 1000g/1kg × 1m^3/10^6cm^3 = 0.1206g/cm^3

(c) Formula for rho (g/cm^3) as a function of P (N/m^2) is

rho = 0.1206exp(8.27×10^-7P) (the unit of 0.1206 is g/cm^3)

5 0
3 years ago
Bir araç 5 saatte 80km yol almaktadır. Buna göre bu aracın hızı kaç m/dk'dır?
8090 [49]
80 km = 80000 m
5 saatte = 300 dk’dir
80000m/300 dk’dir = 266.666667 m/dk’dir
(Yazım yanlışsa kusura bakmayın türkçe bilmiyorum :) )
6 0
2 years ago
CAN SOMEONE PLEASE LOOK AT MY LAST QUESTION AND SEE IF ITS RIGHT PLEASE?!
daser333 [38]

Answer:

okay

Step-by-step explanation:

5 0
3 years ago
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