The sum of two consecutive odd numbers is 208, what are the numbers?
1 answer:
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Answer:
b. The paint will not fill the tray by 5.22 in3.
Step-by-step explanation:
The computation is shown below:
First we have to determine the volume of tray by using the following equation
Now transform this from dimensions to inches
Now putting the values,
the volume would be equivalent to the
236.22 inches^3
Now 1 gallon is 231 inches^3
So, the remaining would be
= 236.22 - 231
= 5.22^3
Therefore the correct option is b.
Hence, all the other options are wrong
Answer:
The test statistic value using the VLBW babies as group 1 is z=-2.76±0.01 and the P-value for the test (±0.0001) is 0.0030.
Step-by-step explanation:
This is a hypothesis test for the difference between proportions.
The claim is that the proportion of persons with normal birth weight that graduates from high school is significantly greater than the proportion of persons with very low birth weight that graduates from high school.
Then, the null and alternative hypothesis are:
The significance level is 0.05.
The sample 1 (VLBW group), of size n1=244 has a proportion of p1=0.77049.
The sample 2 (control group), of size n2=247 has a proportion of p2=0.79757.
The difference between proportions is (p1-p2)=-0.02708.
The pooled proportion, needed to calculate the standard error, is:
The estimated standard error of the difference between means is computed using the formula:
Then, we can calculate the z-statistic as:
This test is a left-tailed test, so the P-value for this test is calculated as (using a z-table):
As the P-value (0.0030) is smaller than the significance level (0.05), the effect issignificant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the proportion of persons with normal birth weight that graduates from high school is significantly greater than the proportion of persons with very low birth weight that graduates from high school.