The question is incomplete. The complete question is :
The breaking strengths of cables produced by a certain manufacturer have a mean of 1900 pounds, and a standard deviation of 65 pounds. It is claimed that an improvement in the manufacturing process has increased the mean breaking strength. To evaluate this claim, 150 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1902 pounds. Assume that the population is normally distributed. Can we support, at the 0.01 level of significance, the claim that the mean breaking strength has increased?
Solution :
Given data :
Mean, μ = 1900
Standard deviation, σ = 65
Sample size, n = 150
Sample mean,
= 1902
Level of significance = 0.01
The hypothesis are :


Test statics :
We use the z test as the sample size is large and we know the population standard deviation.




Finding the p-value:
P-value = P(Z > z)
= P(Z > 0.38)
= 1 - P(Z < 0.38)
From the z table. we get
P(Z < 0.38) = 0.6480
Therefore,
P-value = 1 - P(Z < 0.38)
= 1 - 0.6480
= 0.3520
Decision :
If the p value is less than 0.01, then we reject the
, otherwise we fail to reject
.
Since the value of p = 0.3520 > 0.01, the level of significance, then we fail to reject
.
Conclusion :
At a significance level of 0.01, we have no sufficient evidence to support that the mean breaking strength has increased.
Answer:2/7
Step-by-step explanation: 14 divided by 2 equals 7 and 49/7 equals 7 which means 7 is your GCF because seven going into both numbers
The best answer for this question would be:
D. 32
In order to get this, you have to get the sum in the line,
which is the first four people. So the solution would be: 4(23) = 92
For getting the sum of the people in the last 3 would be:
3(34) = 102
Next is the sum of everyone which the solution would be:
6(27) = 162
So the initial solution that we have now would be: F + 92 -
F + 102- F = 162
- F + 194 = 162
- F = 162 - 194
- F = - 32
The (F) here or the fourth person’s age would be= -32 / - 1
or 32
Answer:
x = 
Step-by-step explanation:
First, you have to leave 2x by itself on the left side of the equation:
2x = 60/8
Then divide,
x = 15/4
Simplified fraction: x = 
Answer:

Step-by-step explanation:
we know that
The <u>distance formula</u> is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points
The formula to calculate the distance between two points is equal to

we have
A(1, 1) and B(7, −7)
Let
(x1,y1)=A(1, 1)
(x2,y2)=B(7, −7)
substitute the given values in the formula




