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
ELEN [110]
2 years ago
13

A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salari

es of secondary school teachers (the claim). A random sample of 30 elementary school teachers has a variance of $ 8324, and a random sample of 30 secondary school teachers has a variance of $2862. At α= 0.05, can the researcher conclude that the variation in the elementary school teachers' Salaries is greater than the variation in the secondary teachers' salaries? Use the P-value method.
Assume that all variables are normally distributed.

a. State the hypotheses and identify the claim.
b. Find the critical value.
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Mathematics
1 answer:
guajiro [1.7K]2 years ago
4 0

Answer:

a

The null hypothesis is  H_o :  \sigma^2_1 = \sigma^2 _2

The alternative hypothesis is H_a :  \sigma_1 ^2 > \sigma^2_2

b

F_{critical} = 1.8608

c

F = 2.9085

d

    The decision rule is  

Reject the null hypothesis

e

There is sufficient evidence to support the researchers claim

Step-by-step explanation:

From the question we are told that

 The first sample size is  n_1 = 30

 The sample variance for elementary school is  s^2_1 = 8324

 The second sample size is  n_2 = 30

  The sample variance for the secondary school is  s^2_2 = 2862

   The significance level is  \alpha = 0.05

The null hypothesis is  H_o :  \sigma^2_1 = \sigma^2 _2

The alternative hypothesis is H_a :  \sigma_1 ^2 > \sigma^2_2

Generally from the F statistics table  the critical value of \alpha = 0.05 at first and  second degree of freedom df_1 = n_1 - 1 = 30 - 1 = 29 and  df_2 = n_2 - 1 = 30 - 1 = 29 is  

         F_{critical} = 1.8608

Generally the test statistics is mathematically represented as

       F = \frac{s_1^2 }{s_2^2}

=>   F = \frac{8324 }{2862}

=>   F = 2.9085

Generally from the value obtained we see that  F >  F_{critical } Hence

   The decision rule is  

Reject the null hypothesis

    The conclusion is  

  There is sufficient evidence to support the researchers claim

   

You might be interested in
From 82 books to 138 books<br><br> Find the percent increase. Round to the nearest percent.
FrozenT [24]

Answer:

68%

Step-by-step explanation:

Calculate percentage change

from V1 = 82 to V2 = 138

(V2−V1)|V1|×100

=(138−82)|82|×100

=5682×100

=0.682927×100

=68.2927%change

=68.2927%increase

=68%

3 0
2 years ago
Verify that -tan2x = (2tanx) / (sec^2x - 2)
sashaice [31]

Answer:

Below.

Step-by-step explanation:

- tan 2x =   -2tanx / (1 - tan^2x)

Using the identity  tan^2x = sec^2x - 1 and substituting for tan^2x:

- tan 2x = -2 tanx / (1 - (sec^2x - 1))

=   2 tanx / ( - 1(sec^2x + 2))

= 2 tan x / (sec^2 x - 2)

8 0
3 years ago
Please help! If the m = 1/2 and the b = -2, then the linear equation is:
Vsevolod [243]

Answer:

y=1/2x-2

you write it in y=mx+b form

7 0
2 years ago
Read 2 more answers
Solve for the final amount you need to pay. Chinese foos $120 for delivery. You want to pay 15% tip. How much money total money
gogolik [260]

Answer:

<em>$150</em>

Step-by-step explanation:

Given

Delivery amount = $120

Percent tip on the delivery amount = 15%

Tip amount = 15% * 120

Tip amount = 0.15 * 120 = $30

Total money paid = Delivery amount + Tip

Total money paid  = $120 + $30

Total money paid = $150

<em>hence the total money you will give the delivery boy is $150</em>

7 0
2 years ago
12h-5+4h=43 solve this equation ASAP please
navik [9.2K]

Answer:

H = 3

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Shauna borrows $400 from her parents to buy a phone. She agrees to pay them back plus 4% simple interest over one year. Part A W
    15·1 answer
  • Please help me 10 points
    7·1 answer
  • What is the area of this trapezoid?
    15·1 answer
  • We decided that the movie night will last four hours each movie takes 1.75 hours and we want to make sure we leave a half hour f
    13·1 answer
  • Christine wants to buy a bicycle for her little brother. She receives a coupon in the mail for 5% off the bicycle. The bicycle h
    9·2 answers
  • Dakota has g gumballs. Regan has 15 fewer gumballs than Dakota. Choose the expression that shows how many gumballs Regan has.
    15·2 answers
  • HG is the perpendicular bisector of FK.<br> What is the length of GH?<br> 8<br> 9<br> 15<br> 34
    14·1 answer
  • Find the volume of a sphere that has a radius of 6 feet
    8·2 answers
  • Can someone pls help
    11·2 answers
  • Question 14 *blue bubble*
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!