![sallonquarts](/avatars/20494.jpg)
sallonquarts
07.04.2020 •
Mathematics
A professor of statistics refutes the claim that the average student spends 3 hours studying for the midterm exam. She thinks they spend less time than that. Which hypotheses are used to test the claim? A. H_0: mu < = 3 vs. H_1: mu > 3 B. H_0: mu = 3 vs. H_1: mu notequalto 3 C. H_0: mu notequalto 3 vs. H_1: mu = 3 D. H_0: mu > = 3 vs. H_1: mu < 3
Solved
Show answers
More tips
Answers on questions: Mathematics
- M Mathematics You are taking a true-false test that has 10 questions. Assuming you answer every question, in how many different ways can the test be completed?...
- M Mathematics What number is less than -0.5?...
- M Mathematics Solve for x I need help for this question...
- M Mathematics Lashandra pours juice from a pitcher into glasses. The pitcher has 18 cups of juice. she pours į cup of juice into each glass. How many glasses in all can Lashandra...
- M Mathematics Add me on discord to join a server ya like jazz#2286...
- M Mathematics If point A is (-4, 5) translated 3 units right and 5 units down, what will be the coordinates of point A in the new position? Please answer....
- M Mathematics You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately 56.8 . You...
- M Mathematics as a member of the international strategic management team, you are assigned the task of exploring potential foreign market entry. to conduct initial analysis, you...
- M Mathematics Julien has 3 oranges,5 mangos and 2 pineapples. What is the ratio of oranges and pineapples...
- M Mathematics 6. Resend his sister resting de For Onmunity service project. The port represents the number or soldat we the trend continues, how many boxes y sell in the week...
Ответ:
Null hypothesis:![\mu \geq 3](/tpl/images/0585/9714/ce446.png)
Alternative hypothesis:![\mu](/tpl/images/0585/9714/e95a0.png)
And the best solution would be:
D. H_0: mu > = 3 vs. H_1: mu < 3
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
For this case we want to check if the average student spends 3 hours studying for the midterm exam. She thinks they spend less time than that, and that represent the alternative hypothesis, and the complement the null.
Null hypothesis:![\mu \geq 3](/tpl/images/0585/9714/ce446.png)
Alternative hypothesis:![\mu](/tpl/images/0585/9714/e95a0.png)
And the best solution would be:
D. H_0: mu > = 3 vs. H_1: mu < 3
Ответ:
The similar triangles are triangle DEG and triangle DFG
Segment ED = 2.83 units
Step-by-step explanation:
In the triangle DEF, note that angle D is 90°, that is, its a right angle. Therefore if triangle DEF is right angled then the sides can be calculated using the Pythagoras theorem. Also, a line is drawn from point D and is perpendicular to line EF. This means line DG divides line EF into two equal 90 degree angles (angles on a straight line equals 180°). Having been given that angle D is a 90 degree angle and the line that connects it to line EF is perpendicular, then line DG has divided angle D into two equal halves and that means each half is 45°.
Therefore we have two similar triangles and they are labelled as triangle DEG and triangle DFG.
Triangle DEG has angle G measuring 90 degrees, angle D measuring 45 degrees and angle E derived as
E = 180 - (90 + 45) [sum of angles in a triangle equals 180]
E = 180 - 135
E = 45
Also in triangle DFG, you have angle G measuring 90 degrees, angle D measuring 45 degrees and angle F derived as
F = 180 - (90 + 45)
F = 180 - 135
F = 45
Therefore triangles DEG and DFG are similar based on AAA parameters.
Part B;
To calculate the length of segment ED, we start by isolating one out of the two similar triangles and that would be triangle DEG.
Triangle DEG is a right isosceles triangle. We know this because two angles have been identified as 45 degrees each. In an isosceles triangle, two angles are equal and the two sides corresponding to the two equal angles are also equal. Line EG is opposite angle D, in the same way line DG is opposite angle E
If angle D = angle E (45 degrees)
Then line EG = line DG (2 units)
Hence, in triangle DEG, line ED is calculated using the Pythagoras theorem as follows;
ED² = EG² + DG²
Where ED is the hypotenuse and EG and DG are the two other legs/sides
ED² = 2² + 2²
ED² = 4 + 4
ED² = 8
Add the square root sign to both sides of the equation
√ED² = √8
ED = 2.8284
ED ≈ 2.83