Answer:
The test statistic is z = 1.865.
Step-by-step explanation:
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.
H0: p = 0.11
This means that 0.11 is tested at the null hypothesis, and so:
The engineer weighs 94 bags and finds that 16 of them are over-filled.
This means that:
What is the test statistic?
The test statistic is z = 1.865.
Answer:
This variable that is impacted by manipulating the independent variable is known as dependent variable
Step-by-step explanation:
One of the methods to test a hypothesis is the use of independent variable. The independent variable is manipulated to know if the change will be effective or not.
The variable which will be impacted by the independent variable is called dependent variable. The researcher manipulated the values for independent variable to check if the dependent variable changes or not ..
The earth is 93 million miles away from the sun. 93 million times 10 is 930,000,000 away. Mars is currently 141.6 million miles from the sun. Assuming the planets were in a straight line you would subtract from 141.6 million miles the 93 million miles so that would put us within 48,600,000 miles of Mars. So the answer is we would be closest to Mars.
Answer: 131.37 and the volume is 341.25
Step-by-step explanation:
Answer:
<em>The answers are for option (a) 0.2070 (b)0.3798 (c) 0.3938
</em>
Step-by-step explanation:
<em>Given:</em>
<em>Here Section 1 students = 20
</em>
<em>
Section 2 students = 30
</em>
<em>
Here there are 15 graded exam papers.
</em>
<em>
(a )Here Pr(10 are from second section) = ²⁰C₅ * ³⁰C₁₀/⁵⁰C₁₅= 0.2070
</em>
<em>
(b) Here if x is the number of students copies of section 2 out of 15 exam papers.
</em>
<em> here the distribution is hyper-geometric one, where N = 50, K = 30 ; n = 15
</em>
<em>Then,
</em>
<em>
Pr( x ≥ 10 ; 15; 30 ; 50) = 0.3798
</em>
<em>
(c) Here we have to find that at least 10 are from the same section that means if x ≥ 10 (at least 10 from section B) or x ≤ 5 (at least 10 from section 1)
</em>
<em>
so,
</em>
<em>
Pr(at least 10 of these are from the same section) = Pr(x ≤ 5 or x ≥ 10 ; 15 ; 30 ; 50) = Pr(x ≤ 5 ; 15 ; 30 ; 50) + Pr(x ≥ 10 ; 15 ; 30 ; 50) = 0.0140 + 0.3798 = 0.3938
</em>
<em>
Note : Here the given distribution is Hyper-geometric distribution
</em>
<em>
where f(x) = kCₓ)(N-K)C(n-x)/ NCK in that way all these above values can be calculated.</em>
