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
Ede4ka [16]
2 years ago
15

Austin is a human resources executive for a technology company. He is deciding between two types of plans for vacation allowance

for the employees of the company: Unlimited and Traditional, Austin wants to deterrine, for workers in the tech Industry, if the yearly mean number of vacation days taken by workers with an Unlimited plan is greater than the yearly mean number of vacation days taken by workers with a Traditional plan Austin surveys a random sample of 17 workers who have the Unlimited plan and a random sample of 15 workers who have the Traditional plan. (These samples are chosen independently.) For each worker, he records the number of vacation days taken last year. For the workers with an Unlimited plan, the sample mean is 18.9 with a sample variance of 30.8. For the workers with a Traditional plan, the sample mean is 17.4 with a sample variance of 6.1 Assume that the two populations of vacation days taken are approximately normally distributed. Can Austin conclude, at the 0.10 level of significance, that the population mean of the yearly number of vacation days taken by workers with an Unlimited plan is greater than the population mean of the yearly number of vacation days taken by workers with a Traditional plan? Perform a one-talled test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, (If necessary, consult a list of formulas.) (*) State the null hypothesis and the alternate hypothesis (a) Determine the type of test statistic to use (a) state the null hypothesis H, and the alternate hypothesis (b) Determine the type of test statistic to use. (c) Find the value of the test statistic (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places) (e) At the 0.10 level of significance, can Austin conclude that the yearly mean number of vacation days taken by workers with an Unlimited plan is greater than the yearly mean number of vacation days taken by workers with a Traditional plan?
Mathematics
1 answer:
ElenaW [278]2 years ago
4 0

The question requires that we have to state the hypothesis:

null hypothesis;H0: u1 < u2, the alternate hypothesis;H1: u1 > u2. The one tail test is what is to be used.

<h3>A. How to state the hypothesis</h3>

H0: u1 < u2

H1: u1 > u2

The one tail test statistic is what is to be used here

<h3>B. standard error </h3>

\sqrt{\frac{30.8}{17} +\frac{6.1}{15} }

= 1.49

The df = 17 + 15 - 2

= 30

test statistic = 18.9 - 17.4 / 1.49

= 1.007

We have the critical value on excel as T.INV(0.9,30)

=  1.310

E. At 0.1, we can conclude that  t-value (1.007) does not lies in the rejection area. We fail to reject the null hypothesis. Hence we conclude that the mean vacation with the unlimited plan is greater.

Read more on statistics here brainly.com/question/7597734

#SPJ1

You might be interested in
The points (–2, 4) and (–2, –2) are vertices of a heptagon. Explain how to find the length of the segment formed by these endpoi
Scrat [10]

Answer:

The segment is 6 units long.

Step-by-step explanation:

The points (–2, 4) and (–2, –2) are vertices of a heptagon. We have to explain how to find the length of the segment formed by these endpoints.

If two points at the ends of a straight line PQ are P(x_{1},y_{1}) and Q(x_{2},y_{2}), then the length of the segment PQ will be given by the formula  

\sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2}}

Now, in our case the two points are (-2,4) and (-2,-2) and the length of the segment will be  

\sqrt{(- 2 - (- 2))^{2} + (4 - (- 2))^{2}} = 6 units. (Answer)

5 0
3 years ago
Read 2 more answers
On a model castle, 1 inch equals 83 feet. The model is 10.5 inches wide. What is the actual width of the castle?
Furkat [3]

Answer:

871 and 1/2 ft.  

8 0
3 years ago
Madeline needs to find the slope of the line that passes through the points (9, 12) and (7, 4). She sets up the following work:
Over [174]

Answer:

No

Step-by-step explanation:

She has everything correct but one thing. In order to have her answer correct, she must put the 9 in front of the 7 because the bigger number needs to go in front.

4 0
3 years ago
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
shepuryov [24]

Answer:

pretty sure it's B

Step-by-step explanation:

domain is x numbers and that has all the x numbers in it

4 0
3 years ago
Read 2 more answers
Solve −(3x − 2) = −4(x + 1) − 4.
Stella [2.4K]
-(3x-2)=-4(x+1)-4
-3x+2=-4x-4-4
-3x+4x=-4-4-2
x=-10
3 0
3 years ago
Read 2 more answers
Other questions:
  • -28/((-12+9)-(9+12/3)+1)
    12·1 answer
  • Is n=3 is a solution to the equation or 2n=6
    14·2 answers
  • 2. Which statement best describes the relationship between the two given equations?
    8·2 answers
  • Can mow his lawn at rate of 15 per hour. how many get per hour is this
    14·1 answer
  • Solve the following equation: 4x+2=18
    13·2 answers
  • What is the equation of the line that is parallel to the given
    10·1 answer
  • Pls help I need to find the missing sides?!!
    11·1 answer
  • Question 3 and 5 please ASAP!
    7·1 answer
  • The best unit of measure for the liquid in an eyedropper is the liter.<br> A. True<br> B. False
    7·2 answers
  • 55% of what number is 1100? Which of the following proportions could be used to
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!