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
Luda [366]
3 years ago
8

4. As part of a promotion for a new type of cracker, free samples are offered to shoppers in a local supermarket. The probabilit

y that a shopper will buy a packet of crackers after tasting the free sample is 0.3. Different shoppers can be regarded as independent trials. Let p be the proportion of the next 60 shoppers that buy a packet of the crackers after tasting a free sample. a) What are the mean and standard deviation of the distribution of the sample proportion
Mathematics
1 answer:
RUDIKE [14]3 years ago
6 0

Answer:

For this case we need to check the conditions in order to use the normal approximation:

1) np = 60*0.3= 18>10

2) n(1-p) = 60*(1-0.3)= 42>10

Since both conditions are satisfied and the independence condition is assumed we can use the normal approximation given by:

\hat p \sim N (\hat p, \sqrt{\frac{\hat p(1-\hat p)}{n}})

The mean would be given by:

\mu_{\hat p}=0.3

And the deviation is given by:

\sigma_{\hat p}= \sqrt{\frac{0.3*(1-0.3)}{60}}= 0.0592

Step-by-step explanation:

For this case we know the following info:

n =60 represent the sample size

\hat p = 0.3 represent the estimated proportion of people that will buy a packet of crackers after tasting

For this case we need to check the conditions in order to use the normal approximation:

1) np = 60*0.3= 18>10

2) n(1-p) = 60*(1-0.3)= 42>10

Since both conditions are satisfied and the independence condition is assumed we can use the normal approximation given by:

\hat p \sim N (\hat p, \sqrt{\frac{\hat p(1-\hat p)}{n}})

The mean would be given by:

\mu_{\hat p}=0.3

And the deviation is given by:

\sigma_{\hat p}= \sqrt{\frac{0.3*(1-0.3)}{60}}= 0.0592

You might be interested in
A rope is tied to the bottom of a hot air balloon ad shown below The rope makes an angle of 35 with the ground and is 75 ft long
damaskus [11]

Answer:

The answer to your question is 43 ft

Step-by-step explanation:

Data

angle = Ф = 35°

length = 75 ft

height = ?

Process

To solve this problem, use trigonometric functions. The trigonometric function that relates the Opposite side (height) and the hypotenuse (length) is sine.

               sin Ф = Height / length

-Solve for height

                height = length x sin Ф

-Substitution

                height = 75 x sin 35

-Simplification

                height = 75 x 0.574

-Result

                 height = 43 ft

6 0
2 years ago
A model of a house has been drawn on a coordinate grid. One corner of the house has
sp2606 [1]

Answer:

Point(9,1)

Step-by-step explanation:

Given

Point: (6,3)

Required

Translate 2 units down and 3 units left

Taking the translation 1 after other

When a function is translated down, only the y axis is affected;

2 units down implies that, 2 be subtracted from the y value.

The function becomes

Point: (6, 3 - 2)

Point: (6, 1)

3 units right implies that, 3 be added tothe x value.

The function becomes

Point(3+6,1)

Point(9,1)

Hence;

Option D answers the question

7 0
3 years ago
you bought a 7 notebooks at the school supply store cost $4.76 what is the unit rate explain how you determined your answer use
Contact [7]
You paid $4.76 total for 7 notebooks. To figure out how much each individual notebook cost, you divide the total cost by the number of things you bought, so Cost of One Notebook = Total Cost of Notebooks / Number of Notebooks = $4.76 / 7 = $0.68 This is the unit rate. To buy three notebooks, you just calculate the total cost of three notebooks at this price point, so Cost of Three Notebooks = Cost of One Notebook * 3 Notebo0ks = $0.68 * 3 = $2.04
6 0
3 years ago
A mouse walks in a maze that is an orthogonal grid made of corridors that intersect at crossings one foot apart, stopping at eve
aksik [14]

Answer:

See the attached file for the answer.

Step-by-step explanation:

See the attached file for the explanation.

5 0
3 years ago
I need help with all of these ASAP thank you so much
Novosadov [1.4K]

Answer:

C

Step-by-step explanation:

Functions meet the vertical line test:

a vertical line will intersect the graph at  most at one point

C doesn't pass the vertical line test and is therefor not a function

7 0
2 years ago
Other questions:
  • Find the value of x.<br> A) 71 <br> B) 72 <br> C) 73 <br> D) 75
    10·2 answers
  • HELP ME PLEASE <br> solve the right triangle
    14·1 answer
  • What’s GD<br> Answers<br> a. 20<br> b. 3<br> c. 15<br> d. 12
    5·1 answer
  • Why does the vertical line test tell us whether the graph of a relation represents a function?
    7·1 answer
  • El perímetro de un triangulo equilatero es.25 ¿cual es la magnitud de su lado?
    6·1 answer
  • What is slime without water in it.
    12·1 answer
  • Selena is a waitress. She earns $2.50 per hour plus tips. Last weekend, Selena eamed
    14·1 answer
  • PLEASE HELP ON A TEST AND NEED HELP Martin has a larger cube made up of smaller cubes with fractional edge lengths, as shown bel
    7·1 answer
  • Brian bought a coat at 5% off of the original price of $60. Which process can Brian use to find the amount of his discount?​
    8·1 answer
  • 2x - x + 3x + 5 = 25<br>Solve for X​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!