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
kati45 [8]
3 years ago
5

A company decided to test the hypothesis that the average time a company’s employees are spending to check their private e-mails

at work is more than 6 minutes. A random sample of 40 employees were selected and they averaged 6.6 minutes. It is believed that the population standard deviation is 1.7 minutes. The α is set to 0.05. The p-value for this hypothesis test would be ______.
Mathematics
1 answer:
Degger [83]3 years ago
5 0

Answer:

z=\frac{6.6-6}{\frac{1.7}{\sqrt{40}}}=2.232    

Since is a one sided right tailed test the p value would be:  

p_v =P(z>2.232)=0.0128  

Step-by-step explanation:

Data given and notation  

\bar X=6.6 represent the sample mean

\sigma=1.7 represent the population standard deviation

n=40 sample size  

\mu_o =6 represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is higher than 6minutes or no, the system of hypothesis would be:  

Null hypothesis:\mu \leq 6  

Alternative hypothesis:\mu > 6  

If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{6.6-6}{\frac{1.7}{\sqrt{40}}}=2.232    

P-value

Since is a one sided right tailed test the p value would be:  

p_v =P(z>2.232)=0.0128  

You might be interested in
What should you do when you can’t sleep
zubka84 [21]

Answer:

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Given that (1, 0, 1) is a solution to a system of three linear equations, which of the following is true about the system?
Anna35 [415]
<h3>Answer:  Choice C) </h3><h3>The system can only be independent and consistent</h3>

===========================================================

Explanation:

Let's go through the answer choices

  • A) This isn't possible. Either a system is consistent or inconsistent. It cannot be both at the same time. The term "inconsistent" literally means "not consistent". It's like saying a cup is empty and full at the same time. We can rule out choice A.
  • B) This is similar to choice A and we cannot have a system be both independent and dependent. Either a system is independent or dependent, but not both. Independence means that the two equations are not tied together, while dependent equations are some multiple of each other. We can rule out choice B.
  • C) We'll get back to this later
  • D) The independence/dependence status is unknown without the actual equations present. However, we know 100% that this system is not inconsistent. This is because the system has at least one solution. Inconsistent systems do not have any solutions at all (eg: parallel lines that never cross). We can rule out choice D because of this.

Going back to choice C, again we don't have enough info to determine if the system is independent or dependent, but we at least know it's consistent. Consistent systems have one or more solutions. So part of choice C can be confirmed. It being the only thing left means that it has to be the final answer.

If it were me as the teacher, I'd cross out the "independent" part of choice C and simply say the system is consistent.

6 0
3 years ago
Read 2 more answers
A line that includes the point (2,10) has a slope of 9. What is its equation in slope-intercept form
Bumek [7]

Equation: y= 9x+ (y-intercept)

Step-by-step explanation:

equation in slope-intercept form is y=mx+b. <em>m</em> represents the slope of the line, and <em>b</em> represents the y=intercept, which is where the line crosses the y-axis.

3 0
3 years ago
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 2/7 of
Sladkaya [172]

Answer:

3 : 4 : 7

Step-by-step explanation:

apple juice - 2/7 = 4/14

orange juice - 1/2 = 7/14

AJ + OJ = 11/14

this means that 3/14 of the punch is cranberry juice.

cranberry : apple : orange

3 : 4 : 7

8 0
2 years ago
The number in each column are related. The goal is to determine how they are related, determine which numbers belongs in the bla
andre [41]

Answer:

If you cube the numbers in the left column, you get the numbers in the right column! We can figure this out by understanding that 1^3 = 1, 3^3 = 27, and 6^3 = 216. Then it all falls into place!

1 -> 1

2 -> 8

3 -> 27

5 -> 125

6 -> 216

11 -> 1331

8 -> 512

10 -> 1000

7 -> 343

14 -> 2744

p -> p^{2}

\sqrt{q} -> q

8 0
3 years ago
Read 2 more answers
Other questions:
  • Jose owes his brother $50. He promises to pay his brother back $5 each week until his debt is paid off. Represent the relationsh
    7·1 answer
  • a___ is a solid consisting of a polygon, a point not in the same plane as the polygon, and all points between them.
    8·2 answers
  • What is the y - intercept of the equation y = 8x+4?<br> x-1
    14·1 answer
  • The maximum weight allowed per car on The Wildcat carnival ride is 221 pounds. Your friend weighs 60 pounds. To be able to ride
    8·2 answers
  • The coordinate grid shows three points P, Q, and R:
    11·2 answers
  • <img src="https://tex.z-dn.net/?f=%5Csqrt123" id="TexFormula1" title="\sqrt123" alt="\sqrt123" align="absmiddle" class="latex-fo
    9·1 answer
  • Find the value of x . PLEASE ANSWER QUICK ILL MARK BRAINLIEST
    15·2 answers
  • Interior and Exterior of Triangles
    11·2 answers
  • 10. The “Titans” cricket team has a winning rate of 75%. The team is planning to play 10 matches
    8·1 answer
  • If f(x) = 3x -8, find f(6)
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!