Answer:
The z-statistic for this test is -1.547 and P-value of the test is 0.0618
Step-by-step explanation:
An article in the Washington Post on March 16, 1993 stated that nearly 45 percent of all Americans have brown eyes.
We are given that A random sample of n=82 C of I students found 30 with brown eyes.
n = 82
x = 30
Now to find z statistic we will use one sample proportion test
Formula of test statistic =
=
=
So, the z-statistic for this test is -1.547
Now refer the z table for p value .
p value = 0.0618
The P-value of the test is 0.0618
Hence the z-statistic for this test is -1.547 and P-value of the test is 0.0618
Complement angles are angles which when added, the sum is equal to 90 degrees. In this case, we let angle one as x while angle 2 is represented by 17x. The equation then is equal to x + 17x = 90 ; 18x = 90. x from the equation is equal to 5. Hence teh angles are 5 degrees and 85 degrees
Answer: but 8x-4
Step-by-step explanation:
Answer:
131.2 ;
12.8 ;
(118.4, 144)
Step-by-step explanation:
Given :
X = 131.2, s=55 , and n= 50
Point estimate of the mean :
Since, sample size is large (n > 30) ; the sample mean = population mean according to the center limit theorem :
Margin of Error = Zcritical * s / sqrt(n)
Zcritical at 90% = 1.645
Margin of Error : 1.645 * (55 / sqrt(50))
Margin of Error : 1.645 * 7.7781745
Margin of Error = 12.795097
Margin of Error = 12.8
The confidence interval (C.I) :
C.I = x ± margin of error
C. I = 131.2 ± 12.8
(131.2 - 12.8) ; (131.2 + 12.8)
(118.4, 144)
Answer:
31
Step-by-step explanation:
When a number has more than two factors it is known as a composite number.
