Answer:
a. The p-value is less than α, and the null hypothesis is rejected. There is not convincing evidence to support the claim that the proportion of books lasting at least 6 months when glued with G is different from the proportion of books lasting at least 6 months when glued with K.
Step-by-step explanation:
It is given that the library books are often glued for keeping the pages stick and intake. A glue is considered successful if it is able to make the pages of the book intake for at least six months.
It is given that the value of α is = 0.01
and the value of p is = 0.006
Thus when the p-value is less than the value of α, it results in the null hypothesis to get rejected. And there is no convincing support claim that the proportion of the books glued with G lasted for 6 months is different from the proportion of the books that lasted for 6 months when it is glued with K brand.
Answer:
4/8
Step-by-step explanation:
If you simplify it you get 1/2
Answer:
No
Step-by-step explanation:
jan-44
feb-84
mar-72
apr-96
may-52
jun-26
mean=(44+84+72+96+52+26)/6=62.3<65
The answer is no
Answer:
Though it may vary, it's going closer to 0.5 as long as we enlarge our sample.
Step-by-step explanation:
1) Since a coin has heads and tails, then a sample proportion of 40 we can simulate it using some applets.
2) Here are the most common outcomes, as long as we continue on flipping coins.

If we continue enlarging our sample (80, 120,160...) the probability goes closer to 0.5
This shows: the theoretical probability goes closer and closer to the experimental probability of heads and tails

Answer:Area of the shaded region is 73.6 cm^2
Step-by-step explanation:
The circle is divided into two sectors. The Smaller sector contains the triangle. The angle that the smaller sector subtends at the center of the circle is 80 degrees. Since the total angle at the center of the circle is 360 degrees, it means that the angle that the larger sector subtends at the center would be 360 - 80 = 280 degrees
Area of a sector is expressed as
Area of sector = #/360 × πr^2
# = 280
r = 5 cm
Area of sector = 280/360 × 3.14 × 5^2
Area of sector = 61.06 cm^2
Area of the triangle is expressed as
1/2bh = 1/2 × 5 × 5 = 12.5
Area of the shaded region = 61.06 +
12.5 = 73.6