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
Masteriza [31]
3 years ago
14

The local swim team is considering offering a new semi-private class aimed at entry-level swimmers, but needs a minimum number o

f swimmers to sign up in order to be cost effective. Last year’s data showed that during eight swim sessions the average number of entry-level swimmers attending was 15. Suppose the instructor wants to conduct a hypothesis test and the alternative hypothesis is "the population mean is greater than 15." If the sample size is five, σ is known, and α = .01, the critical value of z is _______.
Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
7 0

Answer:

The significance level is \alpha=0.01 and since we are conducting a right tailed test we need to find a critical value who accumulate 0.01 of the area in the right of the normal standard distribution and we got:

z_{\alpha/2}= 2.326

So we reject the null hypothesis is z>2.326

Step-by-step explanation:

For this case we define the random variable X as the number of entry-level swimmers and we are interested about the true population mean for this variable . On specific we want to test this:

Null hypothesis: \mu \leq 15

Alternative hypothesis: \mu > 15

And the statistic is given by:

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

The significance level is \alpha=0.01 and since we are conducting a right tailed test we need to find a critical value who accumulate 0.01 of the area in the right of the normal standard distribution and we got:

z_{\alpha/2}= 2.326

So we reject the null hypothesis is z>2.326

You might be interested in
A circular pond has a diameter of 4.5 feet.Which is closest to the circumference of the pond
Snowcat [4.5K]
Circumference = πD

Circumference of the pond = π(4.5) = 14.14 ft (nearest hundredth)

Answer: 14.14 ft
3 0
3 years ago
Read 2 more answers
ILL MARK BRAINLIEST AND RATE
motikmotik

Answer:

i think this might be right?

75p - ( p times -10) + 35 = w

Step-by-step explanation:

7 0
3 years ago
Please help.<br><br>Solve for x <br><br>​
Andreas93 [3]

Answer:

b i just dat.

Step-by-step explanation:

8 0
3 years ago
triangle ABC is isosceles, angle B is vertex angle , AB = 20x -2, AC =25x, and BC =12 x +20. Find x and the length of each side
lisov135 [29]

Length of AB = 18. 92

Length of AC = 26. 15

Length of BC = 32. 552

<h3>How to determine the sides of the triangle</h3>

Using the Pythagorean theorem, we have that

(20 x-2)^2 = (12x + 20)^2 + (25x)^2

Expand the bracket

400x^2- 4 = 144x^2 + 400 + 625x^2

Collect like terms

400x^2 - 144x^2 - 625x^2 = 400 + 4

-369x^2 = 404

Make x^2 subject

x^2 = \frac{404}{369}

x = \sqrt{1.0948}

x = 1. 046

Thus,

Length of AB = 20x -2 = 20(1. 046) - 2 = 18. 92

Length of AC = 25x = 25* 1.046 = 26. 15

Length of BC = 12x + 20 = 12(1. 046) + 20 = 32. 552

Learn more about isosceles triangles here:

brainly.com/question/1475130

#SPJ1

8 0
2 years ago
1.)What is the only solution of 2x^2 + 8x = x^2 – 16?
Greeley [361]
If you would like to solve the equation 2 * x^2 + 8 * x = x^2 - 16, you can calculate this using the following steps:

<span>2 * x^2 + 8 * x = x^2 - 16
</span><span>2 * x^2 - x^2 + 8 * x + 16 = 0
</span>x^2 + 8 * x + 16 = 0
(x + 4) * (x + 4) = 0
x = - 4

<span>The correct result would be x = - 4.</span>
8 0
3 years ago
Read 2 more answers
Other questions:
  • Melanie is making a piece of jewelry that is in the shape of a right triangle. The two shorter sides of the piece of jewelry are
    7·1 answer
  • Pls help need it real bad
    5·1 answer
  • 100 POINTS!!!!! I REALLY NEED HELP!!!!
    11·2 answers
  • Destiny works on commission as an office supply saleswoman. She sold a computer that cost $700 and received a $126 commission. W
    9·1 answer
  • What is the value of b^2 - 4ac for the following equation<br><br> 2x^2 + 3x = -1
    12·2 answers
  • A student has learned that test scores in math are determined by this quadratic function: s(t) = -(t-6)^2 + 99
    10·1 answer
  • Select ALL the correct answers.
    15·1 answer
  • What does x equal 3.25x-2.5= -9.75x+4
    11·2 answers
  • Help me, please and thank you
    15·2 answers
  • The bar chart shows the number of students with each letter grade in a certain professor's math classes. Since students need at
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!