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
Verdich [7]
4 years ago
11

The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales

representatives make an average of 40 sales calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of 28 sales representatives reveals that the mean number of calls made last week was 42. The standard deviation of the sample is 2.1 calls. Using the 0.05 significance level, can we conclude that the mean number of calls per salesperson per week is more than 40?
Mathematics
1 answer:
podryga [215]4 years ago
4 0

Answer:

Yes, the mean number is more than 40

Step-by-step explanation:

The null hypothesis  

H0 = mean is 40

Let´s make the t test

t = (x – mean) / standard deviation / √sample size

t = (42 – 40) / 2.1 / √28

t = 5.039

now we find t value for one tail, using a T-distribution table

df = n – 1 = 27

α = 0.05

so, t = 1.703

since our calculated t value is greater than the t for the table, the null hypothesis can be rejected. So the mean number of calls per salesperson per week is more than 40.

 

You might be interested in
Find p(2) and p(4) for the function p(x) = 6x4 + 4x3 – 3x2 + 8x + 15.
gulaghasi [49]

Answer:

p(2) =147 and p(4) = 1791

Step-by-step explanation:

We are given p(x)= 6x^4 + 4x^3 – 3x^2 + 8x + 15.

Now we need to find value of p(2) and p(4)

Put x =2,

p(2) = 6(2)^4 + 4(2)^3 – 3(2)^2 + 8(2) + 15

p(2) = 6(16)+4(8)-3(4)+8(2)+15

p(2) = 96+32-12+16+15

p(2) = 147

Now put x = 4

p(4) = 6(4)^4 + 4(4)^3 – 3(4)^2 + 8(4) + 15

p(4) = 6(256)+4(64)-3(16)+8(4)+15

p(4) = 1536+256-48+32+15

p(4) = 1791

3 0
4 years ago
Read 2 more answers
The fifth graders are planning a pizza party. Each fifth grader will eat two slices of pizza with a favorite topping. One-half o
icang [17]
32 students choose a favorite topping for their slices.

Let x be the total number of students.

1/2 of the total students, or 1/2x, choose pepperoni.
1/4 of the total students, or 1/4x, choose extra cheese.
1/8 of the total students, or 1/8x, choose sausage.
4 students choose mushrooms.

We know that together, these equal the total number of students, x:
1/2x+1/4x+1/8x+4=x

We will use 8 as the common denominator:
4/8x+2/8x+1/8x+4=x


Combining like terms:
7/8x+4=x

Subtract 7/8x from both sides:
7/8x+4-7/8x=x-7/8x
4=1x-7/8x
4=1/8x

Divide both sides by 1/8:
4÷(1/8) = 1/8x÷(1/8)
4/1÷(1/8) = x
4/1×8/1 = x
32/1 = x
32 = x
4 0
3 years ago
!!CHECK MY ANSWERS!!
AlekseyPX
I think you're right. I'm in pre-algebra, and sucks at it. Yet, I keep a A.
4 0
3 years ago
Question 13
ArbitrLikvidat [17]

Answer:

C

Step-by-step explanation:

Here in this question , we are interested in calculating the total distance covered by the train in the 10 minutes that it ran.

From the first part of the question, we already know the distances in the first 5 minutes.

Now, to calculate the total distance in the second 5 minutes, we use the distance formula since we have the average speed and the time;

Mathematically; Total distance = average speed * time

From the question, average speed is 33km/h, while time is 5 minutes. To achieve a consistent unit, we convert 5 minutes to hours.

That would be 5/60 = 1/12 hours

So the total distance in the second 5 minutes is;

33 * 1/12 = 2.75 km

Now, to calculate the total distance traveled, let’s add up the distances in the first 5 minutes and convert to kilometers;

That would be;

68 + 127 + 208 + 312 + 535 = 1,250 m

Let’s convert this to km.

We simply divide by 1000 = 1250/1000 = 1.25 km

The total distance is thus ;

1.25 + 2.75 = 4 km

4 0
4 years ago
If 8 gallons of gas cost $40, how much does 10 gallons of gas cost
insens350 [35]
8 costs 40 so 10 costs | 40 / 8 = ( 5*2=10) So your answer is 50 Dollars. 
5 0
3 years ago
Other questions:
  • Claire's three sons, from oldest to youngest, are Evan, Joel, and Alex. The difference between the ages of Evan and Joel is the
    13·1 answer
  • 99 Points Need Help! How to reflect over y= -x+6
    15·2 answers
  • HELP PLEASE ASAP!!! Khan Academy unit test!
    9·1 answer
  • What decimal is greater 0.22 or 0.022
    5·2 answers
  • Please put your FULL explanation and make sure it's correct, PLEASE.
    12·1 answer
  • In the formula d=r*t what are the letters called?
    12·1 answer
  • Of regular movie goers, 40% watch romantic movies, 60% watch action movies, and 24% watch both types. Are watching romantic movi
    5·1 answer
  • Can somebody plz help answer all these questions correctly!! (Only if u know or remember how to do this) lol thanks!!!
    15·2 answers
  • Write a equation of a line perpendicular to the line below in point-slope from that passes through the point (-2,6)
    12·1 answer
  • A pet store has three fish tanks each holding a different volume of water in a different number of fish to a holds 4 L and five
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!