A mason is forming a rectangular floor for a storage shed.
1 answer:
You might be interested in
Answer:
Hence the area of CD bought by Nathan is <em>22.2784 square inches.</em>
Step-by-step explanation:
The length and width of a CD bought by Nathan is inches.
As CD have the same length and width this means it will be of the shape of a square.
Hence, the area of CD is given by:
Area of CD=length×width
=
=
=
=
=
Hence the area of CD bought by Nathan is 22.2784 square inches.
Answer:
Test statistic t = 5.25
P-value = 0.000002 (one-tailed test)
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim is that the average amount of time that a freshman at TAMU studies is significantly higher than 7 hours.
Then, the null and alternative hypothesis are:
The significance level is 0.05.
The sample has a size n=49.
The sample mean is M=8.5.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=√s^2=√4=2.
The estimated standard error of the mean is computed using the formula:
Then, we can calculate the t-statistic as:
The degrees of freedom for this sample size are:
This test is a right-tailed test, with 48 degrees of freedom and t=5.25, so the P-value for this test is calculated as (using a t-table):
As the P-value (0.000002) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the average amount of time that a freshman at TAMU studies is significantly higher than 7 hours.