find the t values that form the boundaries of the critical region for a two-tailed test with a=.05 for n=6 n=12
Answers
Answer:
n=6
"=T.INV(1-0.025,5)", and we got the critical values given by:
n=12
"=T.INV(1-0.025,11)", and we got the critical values given by:
Step-by-step explanation:
Previous concepts
The t distribution (Student’s t-distribution) is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".
The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.
The degrees of freedom represent "the number of independent observations in a set of data. For example if we estimate a mean score from a single sample, the number of independent observations would be equal to the sample size minus one."
Solution to the problem
For n=6
In order to find the critical value we need to take in count that we are conducting a two tailed test, so we are looking on the t distribution with df=n-1=6-1=5 degrees of freedom, a value that accumulates of the area on each tail. We can use excel or a table to find it, for example the code in Excel is:
"=T.INV(1-0.025,5)", and we got the critical values given by:
For n=12
In order to find the critical value we need to take in count that we are conducting a two tailed test, so we are looking on the t distribution with df=n-1=12-1=11 degrees of freedom, a value that accumulates of the area on each tail. We can use excel or a table to find it, for example the code in Excel is:
"=T.INV(1-0.025,11)", and we got the critical values given by:
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Specialty Manufacturing gets 29% of its O-rings from Little Rock Plastics and the rest of its O-rings from Galshus and Sons. Historically 4% of the O-rings it gets from Little Rock Plastics are defective and 10% of the O-rings it gets from Galshus and Sons are defective. An O-ring is found to be defective, what is the probability the O-ring came from Galshus and Sons?
Answers
Answer:
where is the question
Step-by-step explanation:
If you are asking for area, the answer is 35inches squared.
Area is length times width, so multiply 5 and 7,
Which gives you 35 inches squared
(b) cos (pi/5)
(c) sin (6pi/5)
(d) cos (6pi/5)
(e) sin (9pi/5)
Answers
The x - coordinate of the Point A is -
We have a Point A(x, y) on the graph.
We have to find out the x-coordinate of Point A(x, y).
Explain the resolution of Position vector of any point on the Cartesian coordinate.
For any position vector (say OA), having magnitude of 'M' Units, making an angle with the x - axis, can be resolved along the x and y axes as -
OA = (M cos )
+ (M sin
)
According to the question, we have -
We have to find the x - component of the position vector OA.
The circle has a radius of 1 units. Therefore, |OA| = 1
Assume that the x - coordinate of Point A is x.
Now -
x = |OA| cos ()
x = 1 x
x =
Hence, the x - coordinate of the PointA is -
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b
Step-by-step explanation:
5°, before they draw closer. They measure the angle of elevation a second time from
point B at some later time to be 21°. Find the distance from point A to point B.
Round your answer to the nearest tenth of a foot if necessary.
Answers
Answer:
Step-by-step explanation:
Assuming a flat earth
initial measurement
tan5 = 131 / d₁
d₁ = 131/tan5 = 1,497.3368... ft
d₂ = 131/tan21 = 341.2666674...ft
distance from A to B
1497.3368 - 341.26666 = 1,156.1 ft
Rather daring to specify to the answer to the nearest tenth of a foot when no given measurement accuracy is even close to that same precision.
Final answer:
This is a trigonometry problem that can be solved by using the tangent function to find the distances from the boat to the lighthouse at two different angles of elevation, and then subtracting to find the distance travelled by the boat.
Explanation:
This question involves the concept of trigonometry, specifically inverse trigonometric functions. We can solve it by creating two right triangles and using the trigonometric function known as tangent. Due to the nature of the problem, we will consider the lighthouse as the opposite side while the distance from the boat to the lighthouse will serve as the adjacent side.
When the boat is at point A, we can write the following equation using the tangent of 5° - tan(5°) = 131/DistanceA. Solve this equation to find DistanceA.
Next, do the same when the boat is at point B. The equation for this scenario is - tan(21°) = 131/DistanceB. Resolve this equation to find DistanceB.
The distance from point A to B (which is what the question asks for) is just the difference between DistanceA and DistanceB. Make sure to take the absolute value to avoid a negative distance, and round the result to the nearest tenth of a foot if necessary.
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Answers
Answers
Answer:
Step-by-step explanation:
The method applied in this scenario is called simple random sampling. A sample of 100 customers is chosen from a larger population of customers and each customer has the same chance of being selected for the survey at any given time. Also, the chance of selecting 100 customers from each store is the same during the sampling process. The order of sampling at each store does not follow a certain order, thus, It is different from systematic random sampling.
A. 7/2
B. -7/2
C. 10/7
D. -10/7
Answers
Steps:
y-intercept is y value when x=0.
y = 7/2 (0) - 10/7 =-10/7