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
kykrilka [37]
3 years ago
13

Suppose a researcher is trying to understand whether people who purchase fast-food hamburgers would be willing to pay more if th

e hamburger comes with a free whistle. Prior research suggests the mean amount customers say they are willing to pay for a hamburger is μ = 3.68 and σ = 0.70. The researcher plans to conduct a study very similar to the prior research by selecting a sample of customers and asking them how much they are willing to pay for the hamburger. Before asking, however, she will tell the customer about the free whistle that will come with the hamburger. The researcher’s null hypothesis is that the mean amount the customers are willing to pay when they are told about the free whistle is no different than the amount customers are willing to pay when they are not told they will receive a free whistle. The researcher’s sample of 49 customers has a sample mean of M = 4.04. The test statistic for this sample mean is 3.60. Using a significance level of α = .05, which of the following is the most appropriate statement of the result?
a. Telling customers they will receive a free cookie with their hamburger had a significant effect on the amount they say they are willing to pay for a hamburger, z = 3.68, p < .05.
b. Telling customers they will receive a free cookie with their hamburger did not have a significant effect on the amount they say they are willing to pay for a hamburger, z = 4.04, p > .05.
c. Telling customers they will receive a free cookie with their hamburger had a significant effect on the amount they say they are willing to pay for a hamburger, z = 3.60, p < .05.
d. Telling customers they will receive a free cookie with their hamburger did not have a significant effect on the amount they say they are willing to pay for a hamburger, z = 3.60, p < .05
Mathematics
2 answers:
olga55 [171]3 years ago
8 0

Answer:

Option c. Telling customers they will receive a free cookie with their hamburger had a significant effect on the amount they say they are willing to pay for a hamburger, z = 3.60, p < .05 .

Step-by-step explanation:

We are given that Prior research suggests the mean amount customers say they are willing to pay for a hamburger is μ = 3.68 and σ = 0.70.

Here, Null Hypothesis, H_0 : \mu = 3.68 {means that the mean amount the customers are willing to pay when they are told about the free whistle is no different than the amount customers are willing to pay when they are not told they will receive a free whistle}

Alternate Hypothesis, H_1 : \mu \neq 3.68 {means that the mean amount the customers are willing to pay when they are told about the free whistle is different than the amount customers are willing to pay when they are not told they will receive a free whistle}

The test statistics that will be used here is;

           T.S. = \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, Xbar = sample mean = 4.04

              \sigma = population standard deviation = 0.70

             \mu = population mean = 3.68

             n = sample customers = 49

So, test statistics =  \frac{4.04-3.68}{\frac{0.70}{\sqrt{49} } }

                            =  3.60

P-value is given by = P(Z > 3.60) = 1 - P(Z <= 3.60)

                                                      = 1 - 0.99984 = 0.00016

Since our p-value is less than the significance level of 0.05, so we have sufficient evidence to reject null hypothesis.

Therefore, we conclude that the mean amount the customers are willing to pay when they are told about the free whistle is different than the amount customers are willing to pay when they are not told they will receive a free whistle.

Rina8888 [55]3 years ago
3 0

Answer:

Correct option (c).

Step-by-step explanation:

The experiment consists of determining whether the people who purchase fast-food hamburgers would be willing to pay more if the hamburger comes with a free whistle.

The hypothesis for this test is defined as:

<em>H</em>₀: The mean amount the customers are willing to pay when they are told about the free whistle is no different than the amount customers are willing to pay when they are not told they will receive a free whistle, i,e. <em>μ</em> = 0.

<em>Hₐ</em>: The mean amount the customers are willing to pay when they are told about the free whistle is different than the amount customers are willing to pay when they are not told they will receive a free whistle, i,e. <em>μ</em> ≠ 0.

The significance level of the test is, <em>α</em> = 0.05.

The test statistic is defined as:

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

The value of test statistic is, <em>z</em> = 3.60.

<u>Decision rule</u>:

If the <em>p</em>-value of the test statistic is less than the significance level then the null hypothesis will be rejected and vice versa.

The <em>p</em>-value of the test is,

p-value=2P(Z>3.60)\\=2[1-P(Z

*Use a <em>z</em>-table for the probability.

The <em>p</em>-value = 0.0004 < <em>α</em> = 0.05.

The null hypothesis will be rejected since the <em>p</em>-value is less than the significance level.

<u>Conclusion</u>:

Telling customers they will receive a free whistle with their hamburger had a significant effect on the amount they say they are willing to pay for a hamburger, <em>z</em> = 3.60, <em>p</em> < .05.

You might be interested in
What fraction of 2 1/3 is 5/6?
taurus [48]
I think it’s D or a I think so
5 0
3 years ago
The dot plot shows the number of pets owned by the students in jay of class
Alinara [238K]

Answer:

where is the graph ?

3 0
3 years ago
Read 2 more answers
Which of the following best describes how the y values are changing over each interval?
ziro4ka [17]

Answer:

y=ax+b

a=-0.6020457867

b=-2.256697516   <------- There is your value for b, which is the answer to the problem.

You can use these values for a and b to generate an equation in slope-intercept form, which you can then enter under Y= and view the graph.

Step-by-step explanation:

6 0
2 years ago
O is the midpoint of segment IU. If I is (-7, 2) and O is (5, -8), what are the coordinates of U?
vaieri [72.5K]

Answer:

(17 , -18)

Step-by-step explanation:

5 = (-7 + x) / 2

x = 17

-8 = (2 + y) / 2

y = -18

3 0
3 years ago
Two professional baseball teams played a four game series. Attendance for the first three games was 126,503 people, what was the
ioda

Answer: 44,815 people; 126,503 + n = 171,318; n = 171,318 − 126,503

6 0
3 years ago
Other questions:
  • The Russian ice breaker yamal can move forward through 2.3-meter-thick ice at a speed of 5.5 kilometers per hour. Write and solv
    10·1 answer
  • This was due 5 hours ago help pls?
    11·2 answers
  • Which choice explains the correct way to move the decimal point to find the quotient in the problem 265.786 ÷ 10? A. 2 places to
    11·2 answers
  • The diameter of a US penny is 3/4 inch. How many pennies would it take to make a row of 42 inches long?
    7·1 answer
  • An interior angle and an exterior angle are adjacent. The exterior angle measures 113°. What is the measure of the interior angl
    14·2 answers
  • Heyyyaaaa heyyyyy mathhhh
    10·1 answer
  • The cost, C. of producing coolers, x, is modeled by the equation C = 0.005x2 - 0.3x + 17. How many coolers are
    6·1 answer
  • Students collected 600 cans for the canned food drive.
    11·1 answer
  • It takes Shawn 4 more hours to stain a deck than Michelle. Together it takes them 4.8 hours to complete the work. How long would
    11·1 answer
  • 6 points :What is the volume of this rectangular pyramid?<br><br> ____ Cubic Meters<br> Thank You!
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!