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
monitta
2 years ago
10

A marketing consultant observed 40 consecutive shoppers to estimate the average money spent by shoppers in a supermarket store.

Assume that the money spent by the population of shoppers follow a Normal distribution with a standard deviation of $21.51. What is the probability that the average money spent by a sample of 40 shoppers is within $10 of the actual population mean.
Mathematics
1 answer:
KonstantinChe [14]2 years ago
6 0

Answer:

0.998 is the probability that the average money spent by  a sample of 40 shoppers is within $10 of the actual population mean.

Step-by-step explanation:

We are given the following information in the question:

Standard Deviation, σ = $21.51

We are given that the distribution of average money spend is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

We have to find:

P( average money spent is within $10 of the actual population mean.)

= P( z \leq \displaystyle\frac{10\times \sqrt{40}}{21.51}}) = P(z \leq 2.94)

Calculation the value from standard normal z table, we have,  

P(z \leq 2.94) = 0.998

You might be interested in
Solve the system:<br><br><br> x+4y=1<br><br><br> 3x+5y=10
never [62]

Answer:

x=6.25\\y=-1.25

Step-by-step explanation:

3x+5y=10\\x+3y=1\\\\

Second equation times 3:

3x+9y=3

1st equation minus equation above:

-4y=7\\y=-7/4

Insert to equation:

3x+\frac{-35}{4}=10\\12x-35=40\\12x=75\\x=75/12=6.25

4 0
3 years ago
20 PTS! Need help! Please explain! The amount of money a worker makes varies directly with the hourly rate of pay. Worker A earn
Anit [1.1K]
The answer to this question is "B)$126" The hourly pay is 21$
7 0
2 years ago
Read 2 more answers
Please answer at least one of them.
dsp73
Hey there find an image attached..

8 0
3 years ago
Read 2 more answers
How many ways can five cards be selected from a standard deck of 52 cards?​
elena55 [62]

Step-by-step explanation:

If the order of the cards doesn't matter:

₅₂C₅ = 52! / (5! (52−5)!)

₅₂C₅ = 2,598,960

If the order of the cards does matter:

52 × 51 × 50 × 49 × 48 = 311,875,200

6 0
2 years ago
Pat needs 14 sticks of pepperoni to make 28 pizzas. How many sticks of pepperoni are needed to make 36 pizzas?
VladimirAG [237]

Answer:

18

Step-by-step explanation:

It is 18 because 14 x 2 equal 28 so that would mean you need one stick to make 2 pizzas. Then you divide 36 by 2 and get 18

4 0
3 years ago
Other questions:
  • Solve this system of liner equations.separate the -x and y - values with a comma. 2x=96-14y 9x=40-14y
    11·1 answer
  • What are three integers that do not all have the same sign that have a sum of -20. Write three integers that do not all have the
    6·1 answer
  • Sienna published 2/3 of the poems she wrote in a book. Additionally, published 4 different poems in a newspaper. The total numbe
    9·1 answer
  • The taxiFair in Gotham city is $2.40 for the first half mile additional mileage Charged at the rate of $.20 for each additional
    5·1 answer
  • WILL MARK BRAINLIEST IF U ANSWER CORRECTLY
    5·1 answer
  • Solve this absolute value /x+2/-/x/=6
    9·1 answer
  • LMNO is a parallelogram. Solve for x and y.<br><br> ​
    5·1 answer
  • Consider the Function g(x) = 1/x+3 — 4
    11·1 answer
  • HELP QUICK PLEASE WILL MARK BRAINLIEST!!
    10·1 answer
  • Find the number whose 1/3 part exceeds its 1/4 part by 12
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!