Complete Question
The complete question is shown on the first and second uploaded image
Answer:
Part 1
The correct option is B
Part 11
The correct option is H
Step-by-step explanation:
From the question we are told that
The sample size is n = 15
Generally the sample mean for the input temperature is mathematically represented as



Generally the sample mean for the output temperature is mathematically represented as



Generally the difference between the mean of the input temperature and that of the output temperature is

=> 
=> 
Generally the standard deviation of the difference between the input temperature and the output temperature is mathematically represented as
![s_d = \sqrt {\frac{1}{n-1 } \sum [d_i - d]^2}](https://tex.z-dn.net/?f=s_d%20%20%3D%20%5Csqrt%20%7B%5Cfrac%7B1%7D%7Bn-1%20%7D%20%20%5Csum%20%5Bd_i%20-%20d%5D%5E2%7D)
=> ![s_d = \sqrt{\frac{[(57.6 - 65.1) - 6.6]^2+[(68.9 - 74.4) - 6.6]^2+ \cdots +[(68.1 - 74.7) - 6.6]^2 }{15-1} }](https://tex.z-dn.net/?f=s_d%20%3D%20%5Csqrt%7B%5Cfrac%7B%5B%2857.6%20-%2065.1%29%20-%206.6%5D%5E2%2B%5B%2868.9%20-%2074.4%29%20-%206.6%5D%5E2%2B%20%5Ccdots%20%2B%5B%2868.1%20-%2074.7%29%20-%206.6%5D%5E2%20%20%7D%7B15-1%7D%20%7D)
=> 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically represented as



Generally the p-value is mathematically represented as

From the student t distribution table( reference - danielsoper(dot)com(slash)statcalc(slash)calculator) at a degree of freedom of df = n-1 = 15-1 = 14

So


From the values obtained we see that the
hence the decision rule is fail to reject the null hypothesis
The conclusion is
The cooling system changes the temperature of the water by 6 degrees.
Answer:
7/25
Step-by-step explanation:
because its .28
Answer:
Solution (1, 4)
Step-by-step explanation:
x = y - 3
x + 3y = 13
Substitute x = y - 3 into x + 3y = 13
y - 3 + 3y = 13
4y - 3 = 3
4y =16
y = 4
Substitute y = 4 into x = y - 3
x = 4 - 3
x = 1
Solution (1, 4)
Answer:
2.5 * 10^-5
Step-by-step explanation:
2.5 * 10^-5
If the number is between 1 and -1 excluding 0. Then
count the number of zeros
add 1 more
write the notation of where you put the decimal place
The power is minus and equal to the number of zeros + 1
0.000025
zeros: the number of zeros = 4
Add 1: 4 + 1 = 5
Decimal goes between the 2 and the 5
2.5
Power: = - 5
Answer: 2.5 * 10^-5