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
Andreyy89
2 years ago
6

10. A manufacturer wanted to know if more coupons would be redeemed if they were mailed to the

Mathematics
1 answer:
Mandarinka [93]2 years ago
5 0

Using the t-distribution, it is found that the data does not provide convincing evidence that the mean number is greater when the coupons were addressed to a female.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if there is no difference, that is, the mean is of 0, hence:

H_0: \mu = 0

At the alternative hypothesis, it is tested if the mean number is greater for females, that is, the mean is greater than 0, hence:

H_1: \mu > 0

<h3>What is the test statistic?</h3>

The test statistic is given by:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • s is the standard deviation of the sample.
  • n is the sample size.

In this problem, the parameters are given as follows:

\overline{x} = 1.5, \mu = 0, s = 4.75, n = 50.

Hence, the test statistic is given by:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{1.5 - 0}{\frac{4.75}{\sqrt{50}}}

t = 2.23

<h3>What is the conclusion?</h3>

Considering a <em>right-tailed test</em>, as we are testing if the mean is greater than a value, with a <em>significance level of 0.01 and 50 - 1 = 49 df</em>, the critical value is given by t^{\ast} = 2.4.

Since the test statistic is less than the critical value for the right-tailed test, the data does not provide convincing evidence that the mean number is greater when the coupons were addressed to a female.

More can be learned about the t-distribution at brainly.com/question/26454209

You might be interested in
Solve the inequality 6.2n &lt; 2n + 8.4​
Degger [83]

Answer:

n<2

Step-by-step explanation:

6.2n<2n+8.4

Move variable to the left hand side and change its sign

6.2n - 2n < 8.4

Combine like terms

4.2n < 8.4

divide both side by 4.2

n < 2

6 0
2 years ago
A shade of green paint is made by mixing yellow paint and blue paint in the ratio 5:2. Mel has 30 litres of yellow paint and 9 l
vodomira [7]

Answer:

31.5 litres

Step-by-step explanation:

If Mel uses all 30 litres of yellow paint, then:

5 / 2 = 30 / x

5x = 60

x = 12

Mel would need 12 litres of blue paint, but she only has 9 litres.  So the amount of yellow paint she needs is:

5 / 2 = x / 9

2x = 45

x = 22.5

Mel will use 22.5 litres of yellow paint with 9 litres of blue paint to make a total of 31.5 litres of green paint.

4 0
3 years ago
Please help!!!!!!!!!!!
liq [111]
It should be this y=1/2x+3
5 0
2 years ago
Read 2 more answers
Which of the following values are solutions to the inequality -5 -6x &gt; -8?
kati45 [8]
The answer is :x< 1/2
6 0
1 year ago
Read 2 more answers
Let U = {5, 10, 15, 20, 25, 30, 35, 40)
Katen [24]

Answer:

auc=5,10,15,20,30,40

5 0
2 years ago
Other questions:
  • PLSSS!! HELP ME WITH THIS ASAP!!​
    10·1 answer
  • I need help my grade depends on your answer!!
    15·1 answer
  • How many 1/8 cups are in 4/5 cups
    8·1 answer
  • Solve the equation by using the Square Root Property.<br><br><br><br> 16x2 + 16x + 4 = 81
    8·1 answer
  • 9^2= 9.5^2 + 4^2 - 2 (9.5) (4) (cosR)<br><br> I'm trying to find out the angle measure of R
    15·1 answer
  • Can anyone help with this? I will mark you as brainliest!
    14·2 answers
  • Which expression could be used to find the volume of the prism below?
    11·1 answer
  • The function {(-1, 2), (-2, 1), (0, 2)} has the function rule y = x + 3. HELPPPPPP
    14·1 answer
  • How would you describe the correlation in the data? Explain your reasoning. (2 points).
    10·1 answer
  • Describe three strength training exercises that can be performed by adults at an average fitness level and then discuss at least
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!