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
Answer:
C 44.59
Step-by-step explanation:
The first two shirts are full price
2*49.96 = 99.92
The third shirt is 50% off. That means it is 50% of the original price
.5*49.96 = 24.98
The total cost before tax is
99.92+24.98 =124.90
tax = cost * tax rate
tax = 124.90*.071
tax=8.87
Add this to the cost
final cost = 124.90+8.87
=133.77
We want to find the mean cost (average cost)
Take the total cost and divide by the number of shirts
133.77/3 =44.59
Answer:
1,280
The dimensions are 5 by 4
Step-by-step explanation:
You multiply 20 and 16 then, divide 0.25 then you get 1,280
You're nearly there. Just some more steps.
557 * x = 594 tells us
x = 594 / 557 (divide both sides by 557)
x ≈ 1.066427
When we've found this number we must realise the following:
the '1' in this answer is the 100% the car fixing costs (without taxes)
the '0.66427' stands for the tax rate.
To find the tax rate we multiply 0.66427 by 100, which gives us:
0.66427 * 100 = 6.6427 ≈ 7
So, rounded to the nearest %, the tax rate is 7%
Answer:
No solution
Step-by-step explanation:
In pic
<u><em>(Credits: Symbolab) </em></u>
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(Hope this helps can I pls have brainlist (crown)☺️)