Answer:
See below
Explanation:
<u>Check One-Sample T-Interval Conditions</u>
Random Sample? √
Sample Size ≥30? √
Independent? √
Population Standard Deviation Unknown? √
<u>One-Sample T-Interval Information</u>
- Formula -->

- Sample Mean -->

- Critical Value -->
(given
degrees of freedom at a 95% confidence level) - Sample Size -->

- Sample Standard Deviation -->

<u>Problem 1</u>
The critical t-value, as mentioned previously, would be
, making the 95% confidence interval equal to 
This interval suggests that we are 95% confident that the true mean levels of lead in soil are between 381.5819 and 398.9181 parts per million (ppm), which satisfies the EPA's regulated maximum of 400 ppm.
Answer:
It is true that the sampling distribution of the proportions is approximately a normal distribution.
Explanation:
Solution
Given that:
N = 50
P= 0.8
Thus
p ^ =√p(1-p)/n
p ^=√0.8 (1-0.8)/50
p ^= 0.0566
Therefore,we conclude that the sampling distribution of the proportions is approximately a normal distribution.
Answer:
From the question, we have two variables
1. userNum1
2. userNum2
And we are to print "userNum1 is negative" if userNum1 is less than 0.
Then Assign userNum2 with 2 if userNum2 is greater than 10.
Otherwise, print "userNum2 is less or equal 10.".
// Program is written in C++ Programming Language
// Comments are used for explanatory purpose
// Program starts here
#include<iostream>
using namespace std;
int main ()
{
// Declare variables
int userNum1, userNum2;
// Accept input for these variables
cin>>userNum1, userNum2;
// Condition 1
if(userNum1 < 0)
{
cout<<"userNum1 is negative"<<'\n';
}
// Condition 2
if(userNum2 > 10)
{
userNum2 = 2;
}
// If condition is less than 10
else
{
cout<<"userNum2 is less or equal to 10"<<\n;
}
return 0;
}
// End of Program.
Answer:

Explanation:
The rate of heat transfer from the balls to the air is:
![\dot Q = \left[(800\,\frac{1}{min} )\cdot (\frac{1\,min}{60\,s} )\cdot(8085\,\frac{kg}{m^{3}})\cdot (\frac{4}{3}\pi )\cdot (6\times 10^{-3}\,m)^{3}\right]\cdot (0.480\,\frac{kJ}{kg\cdot ^{\textdegree}C} )\cdot (850\,^{\textdegree}C-900\,^{\textdegree}C)](https://tex.z-dn.net/?f=%5Cdot%20Q%20%3D%20%5Cleft%5B%28800%5C%2C%5Cfrac%7B1%7D%7Bmin%7D%20%29%5Ccdot%20%28%5Cfrac%7B1%5C%2Cmin%7D%7B60%5C%2Cs%7D%20%29%5Ccdot%288085%5C%2C%5Cfrac%7Bkg%7D%7Bm%5E%7B3%7D%7D%29%5Ccdot%20%28%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%29%5Ccdot%20%286%5Ctimes%2010%5E%7B-3%7D%5C%2Cm%29%5E%7B3%7D%5Cright%5D%5Ccdot%20%280.480%5C%2C%5Cfrac%7BkJ%7D%7Bkg%5Ccdot%20%5E%7B%5Ctextdegree%7DC%7D%20%29%5Ccdot%20%28850%5C%2C%5E%7B%5Ctextdegree%7DC-900%5C%2C%5E%7B%5Ctextdegree%7DC%29)
