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
Hunter-Best [27]
2 years ago
7

A manager is comparing wait times for customers in a coffee shop based on which employee is

Mathematics
1 answer:
anyanavicka [17]2 years ago
8 0

Using the t-distribution, as we have the standard deviation for the sample, it is found that there is a significant difference between the wait times for the two populations.

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

At the null hypothesis, we test if there is no difference, that is:

H_0: \mu_A - \mu_B = 0

At the alternative hypothesis, it is tested if there is difference, that is:

H_1: \mu_A - \mu_B = 0

<h3>What are the mean and the standard error of the distribution of differences?</h3>

For each sample, we have that:

\mu_A = 73, s_A = \frac{2}{\sqrt{100}} = 0.2

\mu_B = 74, s_B = \frac{4}{\sqrt{100}} = 0.4

For the distribution of differences, we have that:

\overline{x} = \mu_A - \mu_B = 73 - 74 = -1

s = \sqrt{s_A^2 + s_B^2} = \sqrt{0.2^2 + 0.4^2} = 0.447

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

It is given by:

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

In which \mu = 0 is the value tested at the null hypothesis.

Hence:

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

t = \frac{-1 - 0}{0.447}

t = -2.24

<h3>What is the p-value and the decision?</h3>

Considering a one-tailed test, as stated in the exercise, with 100 - 1 = 99 df, using a t-distribution calculator, the p-value is of 0.014.

Since the p-value is less than the significance level of 0.05, it is found that there is a significant difference between the wait times for the two populations.

More can be learned about the t-distribution at brainly.com/question/16313918

You might be interested in
Mark wants to buy 5 new video games from
vlada-n [284]
He will have to pay about $82.34 at the checkout.
4 0
2 years ago
Covert to slope intercept form : 9x - 7y = -7
denpristay [2]
Y= 9/7x + 1 ^^^^^^^^
7 0
3 years ago
Meg is packing a shipping conditier.
Bingel [31]

Step-by-step explanation:

Jesus Christ had dreads so shake em', I ain't got none but I'm planning on growing some

7 0
3 years ago
Plz answer will give brainliest
Alex73 [517]
Given quadratic equationx^2+6x+6=0
Using the usual conventions, 
a=1, b=6, c=6
Apply the quadratic formula,
x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}
substitute a,b & c with numerical values,
x=\frac{-6\pm\sqrt{6^2-4(1)(6)}}{2(1)}
simplify:
x=\frac{-6\pm\sqrt{12}}{2}
7 0
2 years ago
The price of gold is often reported per ounce. At the end of 2005, this price was $513. At the end of 2015, it was $1060. By wha
erastova [34]

Answer:

106.63%.

Step-by-step explanation:  

We have been given that at the end of 2005, this price was $513. At the end of 2015, it was $1060.

To find the percentage of the price per ounce of gold increase we will use % increase formula.

\text{Percent Increase}=\frac{\text{Final value-Initial value}}{\text{Initial value}}\times 100

Let us substitute our given values in above formula.

\text{Percent Increase}=\frac{1060-513}{513}\times 100

\text{Percent Increase}=\frac{547}{513}\times 100

\text{Percent Increase}=1.0662768031189084\times 100

\text{Percent Increase}=106.62768031189084\approx 106.63

Therefore, the price of per ounce of gold increased by 106.63%.

5 0
2 years ago
Other questions:
  • Worth 60 pts
    9·2 answers
  • (6x 2 - x - 40) ÷ (5 + 2x)
    9·1 answer
  • Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    14·2 answers
  • Otis tutors math students on sunday afternoons. he charges $35 for each of the first 10 students. he changed $40 for each additi
    11·1 answer
  • A tree is 44.55 feet tall. What is its height in meters?
    13·1 answer
  • Write the phrase as a expression the sum of 7 and 11
    7·1 answer
  • N+3/8=-4<br> What is n?<br> Plz help I don't understand this math
    14·2 answers
  • What two numbers multiply to -24 and add to -5?
    10·2 answers
  • Relationships in Figures
    10·1 answer
  • Which expression is quivalent to this one ?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!