. A textbook company states that the average time a student needs to take a quiz from its book is 30 minutes with a standard deviation of 3 minutes. A teacher using the book is not sure that this is correct for her classes and wants to check. She collects data on 10 random students and finds that the average time to take the quiz was only 25 minutes. As a result, the teacher performs a two-tailed hypothesis test with a significance level of 5%. Which conclusion is valid based on the results of the test? A. Her students, on average, do not take 30 minutes on the quiz, contrary to what the textbook company stated.B. The teacher should pick up all unfinished quizzes at 25 minutes because her students are so much faster than average.

C. The teacher does not have enough information to make a conclusion about the average time on the test.

D. Her students, on average, do take the 30 minutes as the textbook company stated.

Answers

Answer 1

Answer:

Answer:

A. Her students, on average, do not take 30 minutes on the quiz, contrary to what the textbook company stated.

Step-by-step explanation:

This is a normal distribution problem with a two-tailed hypothesis test. This characteristics helps to determine the hypothesis, which is the first step in a hypothesis test.

So, the null hypothesis would be: $H_(o) : u=30 min.$ .

The alternative hypothesis would be: $H_(a) : u\neq 30min$ .

In this problem, we don't use inequality relations because the teacher performed a two-tailed test, which only have to options, equal or not equal.

In second place, we have to determine the significance level, which is 5%, this means that the two tales rejecting zones must be equal to 5%, that is, 2.5% for each tale. This significance level is a percentage that refers to the probability of the null hypothesis to reach that zone, as you can see, it's a low probability, so if the null hypothesis reaches that zone, it means that the data has significance, it's reliable.

Now, we have to calculate the z-score, which is gonna tell us if the null hypothesis can reach the rejecting zone or not. The equation to find z-value is: $Z = (x - u)/((o)/(√(n) ) )$ ; where x is the sample mean, u is the population mean, o is the standard deviation and n is the sample.

Replacing all values:

$Z = (25-30)/((3)/(√(10) ) ) = (-5)/(0.95) =-5.26$ .

Hence, the z-value is -5.26, which is located in the left side of the population mean. Now, we have to use the z-table to know if the null hypothesis is rejected or accepted.

So, according to the table the probability value (p-value), for a 5% of significance level, is 0.0001. But, this is a two-tailed test, so the p-value is actually 0.0001(2) = 0.0002.

Therefore, the p-value is way lower than the level of significance 0.05, we must reject the null hypothesis, which means that there's no enough evidence to accept it. So, according with the test, the students don't take 30 minutes on the quiz, the correct answer is A.

Answer 2

Answer:

Answer:

A. is the correct answer

Step-by-step explanation:

Hope that this helps. Peace and Love

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Take a piece of paper and a pencil. Draw 8 little squares in a line. Those are the supports, just like it says. Now write "4 ft" in every space between the supports, just like it says. Finally, addum all up.

You should have "4 ft" written in seven spaces.
So you'll add up "4 ft" seven times, and the total will be 28 feet.

Find the product: 1 1/4×5 3/5.

Answers

The solution to the expression 1 1/4 × 5 3/5 as a fraction is 4 1/2

How to evaluate the expression as a fraction

from the question, we have the following parameters that can be used in our computation:

1 1/4 × 5 3/5

Convert the fractions to improper fraction

So, we have the following

1 1/4 × 5 3/5 = 5/4 × 18/5

Evaluate the product of the fractions

So, we have the following

1 1/4 × 5 3/5 = 1/4 × 18/1

Simplify

1 1/4 × 5 3/5 = 9/2

So, we have

1 1/4 × 5 3/5 = 4 1/2

Hence, the solution as a fraction is 4 1/2

Answers

The value of x in the expression 7x-3=5x+5 is 4

Given

7x-3=5x+5

Here,

The equation is linear in variable x .

7x-3=5x+5

7x - 5x - 3 = 5

2x-3=5

2x = 5 + 3

2x=8

x = 8/2

x=4

Thus the value of x is 4 .

Know more about linear equations,

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Answer:

x=4

Step-by-step explanation:

7x-3=5x+5

2x-3=5

2x=8

x=4

7. What is the length of the altitude CD in the figure?O A. 2.7B. 2.2C. 3.9O D. 3.3BackNext

Answers

Answer:

The length of the altitude CD is 3.3 units .

Option (D) is correct .

Step-by-step explanation:

By using the pythagorean theorem

Hypotenuse² = Perpendicular² + Base²

Now in ΔCDA

Hypotenuse = CA = 6 unit

Base = AD = 5 units

Perpendicular = CD

Put all the values in the above

6² = CD² + 5²

6² = 36

5² = 25

CD² = 6² - 5²

= 36 - 25

CD² = 11

$CD = √(11)$

CD = 3.3 unit (Approx)

Therefore the length of the altitude CD is 3.3 units .

Option (D) is correct .

We have a right triangle:
hypotenuse=6
leg₁=5
leg₂=CD

Pythagoras theorem:
hypotenuse²=leg₁²+leg₂²

6²=5²+CD²

CD=√(6²-5²)
CD=√(36-25)
CD=√11≈3.3166....≈3.3

Answer: D. 3.3

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Answers

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Suppose that an object whose is 10th weighs 50 N find the weight of an object whose is 6 kg

Answers

Weight is another term for the force from mass multiplied by acceleration due to gravity, the equation being expressed as $f = ma$ , being force, mass, and acceleration respectively.

We already have 2 parts of the equation, $50 = 10a$

Acceleration due to gravity on the planet is $5 m/s^2$

Plug it into the equation $f = ma$

$f=6kg$ x $5m/s^2$

Weight or force from gravity is 60N.

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