The boxes are shaped as right rectangular prisms. The larger box has a length of 24cm a width of 10 cm, and height of 30cm. The
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Answer: The radius of the new water tower is approximately 21 ft^3
Step-by-step explanation:
So we know the volume of the Water Tower is 66840 ft^3 and the new one's volume will hold 3/5 as much. so you will multiply 66840 by 3/5 to find the volume of the new one.
66840 * 3/5 = 40104 so the new water tower will hold 40104 cubic feet of water.
Now to find the radius we will use the formula v= 4/3r^3
40104 = 4/3 * * r^3
40104= 4.1887* r^3
r= 21
Answer:
The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88
The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.
Step-by-step explanation:
Test if the proportion of times that luggage is returned within 24 hours is less than 0. 88
At the null hypothesis, we test if the proportion is of 0.88, that is:
At the alternate hypothesis, we test if this proportion is less than 0.88, that is:
The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
0.88 is tested at the null hypothesis:
This means that
A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day.
This means that
Test statistic:
P-value of the test:
The p-value of the test is the probability of finding a sample proportion below 0.8625, which is the p-value of z = -0.68.
Looking at the z-table, the p-value of z = -0.68 is of 0.2483.
The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.