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
mars1129 [50]
3 years ago
9

Based on historical data, your manager believes that 41% of the company's orders come from first-time customers. A random sample

of 72 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.35 and 0.5?
Mathematics
1 answer:
TEA [102]3 years ago
6 0

Answer:

The probability that the sample proportion is between 0.35 and 0.5 is 0.7895

Step-by-step explanation:

To calculate the probability that the sample proportion is between 0.35 and 0.5 we need to know the z-scores of the sample proportions 0.35 and 0.5.

z-score of the sample proportion is calculated as

z=\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } } where

  • p(s) is the sample proportion of first time customers
  • p is the proportion of first time customers based on historical data
  • N is the sample size

For the sample proportion 0.35:

z(0.35)=\frac{0,35-0.41}{\sqrt{\frac{0.41*0.59}{72} } } ≈ -1.035

For the sample proportion 0.5:

z(0.5)=\frac{0,5-0.41}{\sqrt{\frac{0.41*0.59}{72} } } ≈ 1.553

The probabilities for z of being smaller than these z-scores are:

P(z<z(0.35))= 0.1503

P(z<z(0.5))= 0.9398

Then the probability that the sample proportion is between 0.35 and 0.5 is

P(z(0.35)<z<z(0.5))= 0.9398 - 0.1503 =0.7895

You might be interested in
4.
vagabundo [1.1K]
So the original shoes cost 100%, but you are paying 15% less than 100%. 100-15 is 85, so 85% or .85 is your answer.
5 0
3 years ago
Oliver earns $12 per hour doing extra lawn chores for his neighbor. They also pay him $40 each month for cutting the grass,
Alex777 [14]

Answer:

3.333333333333333333

3 0
2 years ago
Read 2 more answers
On robertos shelf are:
Minchanka [31]
Total books = 6 + 5 + 4 + 3 = 18
Adventure books = 3

P(Adventure books) = 3/18 = 1/6

Answer: 1/6
7 0
3 years ago
Read 2 more answers
Ana earns 75 points and loses 30 points write and solve an expression to find anas final score
steposvetlana [31]
75-30=
ana would have 45 points
3 0
3 years ago
This question says “use the given conditions to write an equation for the line in point-slope form and in slope intercept form”.
Ipatiy [6.2K]

Answer:

Step-by-step explanation:

y = -4x + 5.....slope here is -4. A parallel line will have the same slope.

y = mx + b

slope(m) = -4

(-6,-2)....x = -6 and y = -2

now we sub and find b, the y intercept

-2 = -4(-6) + b

-2 = 24 + b

-2 - 24 = b

-26 = b

so ur equation is : y = -4x - 26 <====

4 0
3 years ago
Read 2 more answers
Other questions:
  • Please help solve 1o points ​
    8·1 answer
  • I need the equation of the line in the picture
    11·2 answers
  • The tail of the spider monkey is 64% of 55in.What is the length of its tail?
    8·1 answer
  • The graphs of y = f(x) and y = g(x) are shown on the coordinate plane below. If g(x) = k* f(x), what is the value of k?
    6·2 answers
  • Give the digits in the ones place and the hundredths place.<br> 53.19
    11·1 answer
  • Adding a 2 digit number and a 1 digit number with carring ) 21+9=
    12·1 answer
  • Whoever sees this first and answers it first get to be marked brainliest and gets 185 points​
    9·2 answers
  • om each drop-down menu. Megan's commute to work includes an 8-mile drive and a 21-mile train ride. This expression can be used t
    7·2 answers
  • Solve for x. 8x-6+11+12x=180
    11·2 answers
  • According to the manufacturer, about 14% of candy-coated milk chocolates in a package of Charlie's Chocolates are yellow. What i
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!