Answer:
There is no statistical evidence at 1% level to accept that the mean net contents exceeds 12 oz.
Step-by-step explanation:
Given that a random sample of ten containers is selected, and the net contents (oz) are as follows: 12.03, 12.01, 12.04, 12.02, 12.05, 11.98, 11.96, 12.02, 12.05, and 11.99.
We find mean = 11.015
Sample std deviation = 3.157
a) 
(Right tailed test)
Mean difference /std error = test statistic
p value =0.174
Since p >0.01, our alpha, fail to reject H0
Conclusion:
There is no statistical evidence at 1% level to accept that the mean net contents exceeds 12 oz.
Answer:
13 units
Step-by-step explanation:
(-1,5) and (4, -7)
To find the distance of two points, we use the distance formula:
Let's plug in what we know.
Evaluate the double negative.
Evaluate the parentheses.
Evaluate the exponents.
Add.
Evaluate the square root.
13 units
Hope this helps!
Answer:
Step-by-step explanation:
9
Answer:
Value of y = 7
Step-by-step explanation:
By the midpoint theorem of the triangles,
"Segment joining midpoints of the two sides of a triangle is parallel to the third side and measure half the length of the third side."
Therefore, from the figure attached,
In ΔFGH,
J and K are the mid points of the two sides GH and FH.
By theorem, segment JK║GF and m(JK) = 
(5y + 3) = 2(2y + 5)
5y + 3 = 4y + 10
5y - 4y = 10 - 3
y = 7
Answer: 2 19/24 hours was spent in practising.
Step-by-step explanation:
During the first hour, they practiced for 5/8 of an hour. During the second hour, they practiced for 2/3 of an hour. This means that the total time for which they practiced in the first 2 hours would be
5/8 + 2/3 = 31/24 hours
During the last two hours, they first practiced for 3/5 of an hour, took a 1/2 hour break and then practiced the rest of the time. This means that the rest of the time for which they practiced is
2 - (3/5 + 1/2) = 2 - 11/10 = 9/10
Therefore, the time they spent practicing in total would be
31/24 + 3/5 + 9/10 = 67/24 =
2 19/24 hours
