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]
2 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]2 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
You read 15 pages of your psychology text in 90 minutes, how many pages can you read in 4 hours
AURORKA [14]

Answer: 40

Step-by-step explanation:

1 hour and 30 min is 15 pages read

If you read for three hours its 30 pages

An hour and a half is three parts of 30 so three parts of 15 is five

But you need a whole hour so its ten

Then you add 10 and 30

Its 40 pages in 4 hours.

3 0
3 years ago
Read 2 more answers
This story is told in the third person by an omniscient narrator. If it had been written in the first person, it would be — a. m
konstantin123 [22]
Because the word subjective means based or influenced by personal feelings or influences, the answer would be C. More Subjective
6 0
3 years ago
HELP!!! BRAINLIEST
ANTONII [103]
The missing measure is 26.13............
8 0
3 years ago
Read 2 more answers
Please help and leave explanation
chubhunter [2.5K]

Answer: x = 150°

Step-by-step explanation:

The tangent intersects the circle's radius at a 90° angle, so ∠OAC = ∠OBC = 90°.

AOBC is a quadrilateral and we know that sum of interior angles of quadrilateral equals to 360°.

Now,

∠OAC + ∠OBC + ∠AOB + ∠ACB = 360°

90° + 90° + x + 30° = 360°

210° + x = 360°

x = 360° - 210°

x = 150°

7 0
2 years ago
G(x) = -1x, then g(-3)=
Akimi4 [234]

Answer:

g(-3) = 3

Step-by-step explanation:

g(x)  = -1x      

g(-3) = -1(-3)

g(-3) = 3

Can I get brainliest

3 0
2 years ago
Other questions:
  • Dr. Hadden wants to conduct a study that will allow him to make claims that apply to all college students. Which of the followin
    6·1 answer
  • A bag contains some white and black balls . The probability of picking two white balls one after other without replacement from
    9·1 answer
  • Helpppppppooo meeee pleaseeeeeeeeeeeeeee help meee
    9·1 answer
  • A rectangle or table top has a length of 4 3/4 feet in an area of 11 7/8 ft.² what is the width of the table top
    14·1 answer
  • −8x−5y=0 find two ordered pair solutions
    7·1 answer
  • What is the solution to this equation?
    6·2 answers
  • In the game fortrix, a player can earn 3, 7, or 11 points on a turn. how many different scores are possible for a single player
    8·1 answer
  • I really need help with my math question if anyone is feeling nice it would be so much to help
    9·1 answer
  • Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
    10·2 answers
  • 10 The price of a second-hand car is $6975.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!