Answer:
Null hypothesis is 
Alternative hypothesis is 
Test Statistics z = 2.65
CONCLUSION:
Since test statistics is greater than critical value; we reject the null hypothesis. Thus, there is sufficient evidence to support the claim that the modified components have a longer mean time between failures.
P- value = 0.004025
Step-by-step explanation:
Given that:
Mean
= 960 hours
Sample size n = 36
Mean population
937
Standard deviation
= 52
Given that the mean time between failures is 937 hours. The objective is to determine if the mean time between failures is greater than 937 hours
Null hypothesis is 
Alternative hypothesis is 
Degree of freedom = n-1
Degree of freedom = 36-1
Degree of freedom = 35
The level of significance ∝ = 0.01
SInce the degree of freedom is 35 and the level of significance ∝ = 0.01;
from t-table t(0.99,35), the critical value = 2.438
The test statistics is :



Z = 2.65
The decision rule is to reject null hypothesis if test statistics is greater than critical value.
CONCLUSION:
Since test statistics is greater than critical value; we reject the null hypothesis. Thus, there is sufficient evidence to support the claim that the modified components have a longer mean time between failures.
The P-value can be calculated as follows:
find P(z < - 2.65) from normal distribution tables
= 1 - P (z ≤ 2.65)
= 1 - 0.995975 (using the Excel Function: =NORMDIST(z))
= 0.004025
Here are a few rules with exponents that apply here:
- Raising a power to a power:

- Dividing exponents of the same base:

- Converting negative exponents to positive ones:

Firstly, solve the outer exponent:

Next, divide:

Next, convert the negative exponents:

<u>Your final answer is n^10/16m^6 , or B.</u>
Answer:
2
Step-by-step explanation:
Solve. To do so, change the division sign into a multiplication sign, and flip the second fraction:
(2/3)/(1/3) = (2/3) x (3/1)
Multiply across:
(2 * 3)/(3 * 1) = (6)/(3)
Simplify:
6/3 = 2
2 is your answer.
~
The answer is 176 milles in 2 hours
Answer:
I believe the answer is 48 gallons.
Step-by-step explanation:
Multiply 1.6 by 30 and you get 48