Can someone help me with this question please show work. **** 19 points***
1 answer:
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Answer:
The p-value of the test is 0.9918 > 0.05, which means that we fail to reject , as we do not have enough evidence to say that defect rate of machine is smaller than 3%.
Step-by-step explanation:
The null and alternate hypothesis are:
H0:p≥0.03
Ha:p<0.03
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.
0.03 is tested at the null hypothesis:
This means that
28 out of 600 items produced by the machine were found defective.
This means that
Value of the test-statistic:
P-value of the test:
The p-value of the test is the probability of finding a sample proportion below 0.0467, which is the p-value of z = 2.4.
Looking at the z-table, z = 2.4 has a p-value of 0.9918.
The p-value of the test is 0.9918 > 0.05, which means that we fail to reject , as we do not have enough evidence to say that defect rate of machine is smaller than 3%.
Length of rectangle is 1 unit
<u>Solution: </u>
Given that
Length of a rectangle is width minus 8 units.
Area of rectangle = 9 square units
Need to calculate the length of rectangle.
Let us assume width of rectangle = x
As Length is width minus 8,
Length of the rectangle = x – 8
As given that area of rectangle = 9 square units
On solving above quadratic equation for x, we get
When
When
As width cannot be negative, so considering x = 9
Hence, Length of rectangle is 1 unit.