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
Natali5045456 [20]
3 years ago
7

The mean amount purchased by a typical customer at Churchill’s Grocery Store is $23.50, with a standard deviation of $5.00. Assu

me the distribution of amounts purchased follows the normal distribution. For a sample of 50 customers, answer the following questions. What is the likelihood the sample mean is at least $25.00?
Mathematics
1 answer:
m_a_m_a [10]3 years ago
5 0

Answer: 0.0170

Step-by-step explanation:

Given : The mean amount purchased by a typical customer at Churchill’s Grocery Store is $23.50, with a standard deviation of $5.00.

i.e. \mu=23.50

\sigma=5

We assume the distribution of amounts purchased follows the normal distribution.

Sample size : n=50

Let \overline{x} be the sample mean.

Formula : z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

Then, the probability that the sample mean is at least $25.00 will be :-

P(\overline{x}\geq\25.00)=P(\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\geq\dfrac{25-23.50}{\dfrac{5}{\sqrt{50}}})\\\\=P(z\geq2.12)\\\\=1-P(z

Hence, the likelihood the sample mean is at least $25.00= 0.0170

You might be interested in
Write the Slope- Intercept equation of the line that passes through the given point and is perpendicular to the given line (0, -
damaskus [11]

Answer:

y+4=-3(x+0) or y=-3x-4

Step-by-step explanation:

so you have to make it in form y=mx+b

that would be y=1/3x-2/3

for a perpendicular line, you would need to find the opposite reciprocal of the slope

3/1 or 3 would be the reciprocal, so to make it opposite would be -3

So it would be y-y1 = m(x-x2)

fill it in with the coordinates (0,-4)

y+4=-3(x-0)

to get it to slope intercept form you have to simplify, and after that you get y=-3x-4

4 0
3 years ago
HELP PLEASE I"LL GIVE 50 POINTS. what is the ratio in simplest form between the length of a side in ΔMNO and the length of it's
weqwewe [10]

Answer:

1 : 2

Step-by-step explanation: trust

5 0
3 years ago
Read 2 more answers
40 POINTS!
lukranit [14]

Answer:

B.76 square feet

Step-by-step explanation:

SA=B+L

6 0
2 years ago
Read 2 more answers
X Y Whats the slope<br> 0 0<br> 3 1<br> 12 4<br> 21 7
Alex777 [14]

Answer:

1/3

Step-by-step explanation:

5 0
3 years ago
36 is 0.9% of what number when you are trying to find what equals 0.9/100
lions [1.4K]

Answer:

36

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Which is a characteristic of a theme A. it can be expressed in 1-3 words B. it is general and broad C. it has to do with the sto
    9·1 answer
  • bert is planning to open a savings account that earns 1.6% simple interest yearly. He wants to earn exactly 128 interest in 2 ye
    10·1 answer
  • The mixed number -4 1/5 can be written as the improper fraction -19/15 True False
    9·2 answers
  • Find the equation of a line given the point and slope below. Arrange your answer in the form y = mx + b, where b is the constant
    15·2 answers
  • In a certain city, the hourly wage of workers on temporary employment contracts is normally distributed. The mean is $15 and the
    11·1 answer
  • (10 points) 3 7/8 +5 2/3=
    12·2 answers
  • The cone has a base diameter of 17 inches and a height of 6 inches. Find the volume of the cone using 3.14/pi. Round your answer
    13·1 answer
  • PLEASE HELP ME ANSWER BESTIES !!!
    8·2 answers
  • The expression 40 is equivalent to ?
    6·2 answers
  • What number needs to be added to 4 and 9 so that the ratio of the first number to the second
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!