1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MissTica
2 years ago
15

Using traditional methods it takes 92 hours to receive an advanced flying license. A new training technique using Computer Aided

Instruction (CAI) has been proposed. A researcher used the technique on 70 students and observed that they had a mean of 93 hours. Assume the population variance is known to be 36. Is there evidence at the 0.05 level that the technique lengthens the training time?
Find the value of the test statistic. Round your answer to two decimal places.
Mathematics
1 answer:
DanielleElmas [232]2 years ago
8 0

Answer:

The value of the test statistic is z = 1.39.

The p-value of the test is 0.0823 > 0.05, which means that there is not evidence at the 0.05 level that the technique lengthens the training time.

Step-by-step explanation:

Using traditional methods it takes 92 hours to receive an advanced flying license.

This means that at the null hypothesis, it is tested if the mean is of 92, that is:

H_0: \mu = 92

Test if there is evidence that the technique lengthens the training time

At the alternative hypothesis, it is tested if the mean is more than 92, that is:

H_1: \mu > 92

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

92 is tested at the null hypothesis:

This means that \mu = 92

A researcher used the technique on 70 students and observed that they had a mean of 93 hours. Assume the population variance is known to be 36.

This means that n = 70, X = 93, \sigma = \sqrt{36} = 6

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{93 - 92}{\frac{6}{\sqrt{70}}}

z = 1.39

The value of the test statistic is z = 1.39.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 93, which is 1 subtracted by the p-value of z = 1.39.

Looking at the z-table, z = 1.39 has a p-value of 0.9177.

1 - 0.9177 = 0.0823.

The p-value of the test is 0.0823 > 0.05, which means that there is not evidence at the 0.05 level that the technique lengthens the training time.

You might be interested in
What is the answer for b, and why?
kkurt [141]
I think it will be 125
7 0
2 years ago
Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box cos
n200080 [17]
The answer would be 15 boxes!
4 0
3 years ago
Read 2 more answers
3x^2 - 5x + 12 <br> 5x^2 + x - 11
Effectus [21]

Answer:

8x²+5x+1

Step-by-step explanation:

3x²-5x+12

5x²+ x - 11

________

3x²+5x²= 8x²

}

5x+x =5x

}

12-11 =1

=

8x²+5x+1

7 0
3 years ago
A rhombus with no right angles is a square
Virty [35]
A rhombus with no right angle is a square is impossible
a square have 4 right angle
8 0
3 years ago
For the geometric sequence 3, 6, 12..., find the 13th term and state the common ratio of the sequence​
ddd [48]

Common ratio, is r=6/3=12/6=2

Answer: common ratio 2

First term a₁ = 3

nth term  aₙ = a₁rⁿ⁻¹ = 3 (2ⁿ⁻¹)

13th term = 3(2¹²) = 12288

Answer: 13th term is 12,288

5 0
3 years ago
Other questions:
  • 144 what percent of 480?
    6·1 answer
  • What is the value of the expression? Drag and drop the answer into the box to match the expression. 0.9(1/2−2)+0.6
    12·2 answers
  • The angle of the semicircle is:<br>a) 120<br>c) 180<br>b)60<br>d)90<br>​
    11·2 answers
  • I need help with my math homework. The questions is: Find all solutions of the equation in the interval [0,2π).
    7·1 answer
  • Translate the sentence into an equation. will mark brianliest The product of 6 and a number is 108. What is the solution to the
    9·1 answer
  • For the quadrant in which the following point is located, determine which of the functions are positive.
    7·1 answer
  • A 240 in pipe is cut into two pieces. One piece is three times as long as the other. Find the length of
    12·2 answers
  • The graph shows the amount of money paid when purchasing bags of candy at the zoo:
    14·2 answers
  • 1. The total amount of what you eam during the pay period before taxes and deductions are taken out is known as what?
    5·1 answer
  • Please help :)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!