Give the z test statistic and its P-value. What do you conclude about the authorship of the new poems? (Let a = .05.)
Use 2 decimal places for the z-score and 4 for the p-value.
a. What is z?
b.The p-value is greater than?
c.What is the conclusion? A)The sonnets were written by another poet or b) There is not enough evidence to reject the null.
Answer:
We conclude that the sonnets were written by by a certain Elizabethan poet.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 8.9
Sample mean, =10.2
Sample size, n = 6
Alpha, α = 0.05
Population standard deviation, σ = 2.5
First, we design the null and the alternate hypothesis
We use One-tailed z test to perform this hypothesis.
a) Formula:
Putting all the values, we have
Now,
b) We calculate the p value with the help of z-table.
P-value = 0.1003
The p-value is greater than the significance level which is 0.05
c) Since the p-value is greater than the significance level, there is not enough evidence to reject the null hypothesis and accept the null hypothesis.
Thus, we conclude that the sonnets were written by by a certain Elizabethan poet.
The z-score is 1.86 and the p-value is 0.0314. As the p-value is less than the level of significance α (0.05), we reject the null hypothesis and conclude that the new sonnets were likely written by another author.
In this statistical testing scenario for authorship of literary works, we need to find out the z-score or z test statistic and then determine the p-value to check if the new sonnets could be the works of the known Elizabethan poet or not.
For calculating the z score, you use the formula z = (x~ - μ) / (σ / √n) = (10.2 - 8.9) / (2.5/ √6) = 1.86 to two decimal places. The p-value is determined from the standard normal distribution table which for a z-score of 1.86 is 0.0314.
Given that α = 0.05, since the p-value is less than α, we reject the null hypothesis H0 (that the works were by the Elizabethan poet). Therefore, we accept the alternative hypothesis Ha (the sonnets were written by another author).
#SPJ3
Answer:
8.5 or 8 1/2.
Step-by-step explanation:
To find the product of 2 5/6 and 3, you can multiply the two numbers together.
2 5/6 x 3 is equal to 8.5, therefore, the product of these two numbers is 8 1/2.
Given :
Triangle RST has the vertices R(2, 3), S(-2, 1), and T(-1, 5).
To Find :
The coordinates after the two transformations:
a) Translation (x, y) --> (x - 2, y - 1) .
b) Rotation: 90 degrees counterclockwise at the origin.
Solution :
Applying transition a) , we get :
R'(2-2,3-1) , S'(-2-2,1-1) , T'(-1-2,5-1)
R'( 0, 2) , S'( -4 , 0), T'( -3, 4)
Now , When any point ( h , k ) is rotated 90° counterclockwise about the origin, the new points are (-k , h) .
So , R''( -2, 0) , S''( 0, -4 ) , T''( -4 , -3 ) .
Therefore , the coordinates after transformations are
( -2, 0) ,( 0, -4 ) , ( -4 ,-3 ) .
Hence , this is the required solution .
Answer:
your answer is 3/2x.
Step-by-step explanation:
13/2x-5/x
-multiply 5/x by 2 to get common denominators.
13/2x-10/2x
-subtract numerators and keep the denominators the same.
3/2x
hope this helped !!
Answer:
3/2x
Step-by-step explanation:
b) What is the minimum and maximum number of people that are on neither of these teams?
Let x = number of individuals both in basketball and football
c) Draw a Venn diagram to illustrate this
Answer:
a) min: 0; max: 21
b) min: 34; max: 55
Step-by-step explanation:
In the attached Venn diagrams (part c), the overlap of the two circles represents the number on both teams.
a) In the top diagram, there is no overlap, so the number on both teams is 0.
In the bottom diagram, there is complete overlap between the teams, so the maximum number that play both sports is 21 (the minimum team size of the two teams).
both teams minimum: 0; maximum: 21
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b) The number on neither team is the number outside both circles. The minimum number will correspond to the case where there is no overlap between teams. In that case, there are 66 team players, so 34 people who are on neither team.
The maximum case is that where the teams completely overlap, so the number not on either team will be those not on the football team: 55 people.
neither team minimum: 34; maximum: 55
Answer:
1.4/5+8/9
2.17/18-3/7
Step-by-step explanation:4/5+8/9 so you want the bottem two to be the same right so your ganna multapliy the 5 times 9 and 9 times 5 the 4 times 9 and 8 times 5 then you will have
36/45 and then40/45 then ad them and you will have about 2
2.is about 1 or about 0 i say about 1