Answer: Test statistic = -8 and rejected region is (-∞,-1.966) and (1.966, ∞)
Step-by-step explanation:
Since we have given that
X is the length of a rod.
Sample Mean = 2 inches
Standard deviation = 0.5 inches
n = 400
Hypothesis are
Test statistics would be
Degrees of freedom = n-1 =400-1 =39
and 
Using the t-distribution table, we get that critical value z = 1.966
Since the two tail test will be applied to this,
So, the acceptance region will be (-1.966, 1.966)
Hence, the rejected region will be (-∞,-1.966) and (1.966, ∞)
Answer:
1
Step-by-step explanation:
Slope is given by
m = (y2 -y1)/(x2-x1)
= ( -2 - -8)/( 2 - -4)
=( -2+8) / (2+4)
=6/6
=1
Answer:
17 3.14
/30
Step-by-step explanation:
In the right angled triangle ACD shown with isosceles triangle ABC and ADC, AB = AC = AD
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
A triangle is a polygon that has three sides and three angles. Types of triangles are<em> isosceles, equilateral and scalene</em>.
In the diagram shown:
AB = AC = AD
In the right angled triangle ACD shown with isosceles triangle ABC and ADC, AB = AC = AD
Find out more on equation at: brainly.com/question/2972832
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Complete question :
When Hiroto is writing, there is 0.92 probability that there will be no spelling mistakes on a page. One day, Hiroto writes an essay that is 11 pages long.
Assuming that Hiroto is equally likely to have a spelling mistake on each of the 11 pages, what is the probability that he will have a spelling mistake on at least one of the pages?
Answer:
0.60
Step-by-step explanation:
The question meets the requirement for a binomial probability distribution :
Recall:
P(x = x) = nCx * p^x * q^(n-x)
Given :
Probability of making a spelling mistake = 1 - p(not making) = 1 - 0.92 = 0.08
Hence,
p = 0.08 ; q = 0.92
n = 11
P(x ≥ 1) = 1 - p(x = 0)
P(x = 0) = 11C0 * 0.08^0 * 0.92^11
P(x = 0) = 1 * 1 * 0.3996373778857415671808
P(x = 0) = 0.399
P(x ≥ 1) = 1 - p(x = 0)
P(x ≥ 1) = 1 - 0.399
P(x ≥ 1) = 0.601
P(x ≥ 1) = 0.60
