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
Brilliant_brown [7]
2 years ago
14

A local department store estimates that 10 percent of its customers return the merchandise they purchase. Let the random variabl

e R represent the number of returns for a random sample of 40 customers. Assume that random variable R follows a binomial distribution. What is described by the value of (408)(0.1)8(0.9)32
Mathematics
1 answer:
loris [4]2 years ago
4 0

Answer:

The probability that 8 customers in the sample will return merchandise

Step-by-step explanation:

You might be interested in
A doctor released the results of clinical trials for a vaccine to prevent a particular disease. In these clinical​ trials, 200,0
CaHeK987 [17]

Answer:

1) No, there is  not  enough evidence to support the claim that the vaccine was effective (P-value=0.104) .

The null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0

being the subindex 1 for the experimental group and subindex 2 for the control group.

2) Test statistic z=-1.26

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the vaccine was effective.

Then, the null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0

The significance level is 0.01.

The sample 1 (experimental group), of size n1=100000 has a proportion of p1=0.0002.

p_1=X_1/n_1=21/100000=0.0002

The sample 2 (control group), of size n2=100000 has a proportion of p2=0.0003.

p_2=X_2/n_2=30/100000=0.0003

The difference between proportions is (p1-p2)=-0.0001.

p_d=p_1-p_2=0.0002-0.0003=-0.0001

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{21+30}{100000+100000}=\dfrac{51}{200000}=0.00026

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.00026*0.99974}{100000}+\dfrac{0.00026*0.99974}{100000}}\\\\\\s_{p1-p2}=\sqrt{0+0.0000000025}=\sqrt{0.0000000051}=0.000071

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.00009-0}{0.000071}=\dfrac{-0.00009}{0.000071}=-1.26

This test is a left-tailed test, so the P-value for this test is calculated as (using a z-table):

P-value=P(z

As the P-value (0.104) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

There is  not  enough evidence to support the claim that the vaccine was effective.

6 0
2 years ago
5, 3, 2, 6, 7, 9, 1, 15, 4, 2, 3, 3, 9, 5, 1, ?
Shkiper50 [21]

Answer:

I have no idea thank you for the points

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Select the correct answer from the drop-down menu.
Fittoniya [83]

Answer:

control group

Step-by-step explanation:

3 0
1 year ago
Read 2 more answers
The amounts a soft drink machine is designed to dispense for each drink are normally​ distributed, with a mean of 11.711.7 fluid
dexar [7]

Answer:  0.1499

Step-by-step explanation:

Given : The amounts a soft drink machine is designed to dispense for each drink are normally​ distributed, with mean \mu=11.7\text{ fluid ounces}

Standard deviation : \sigma=0.2\text{ days}

z-score : z=\dfrac{X-\mu}{\sigma}

For X = 11.5  

z=\dfrac{11.5-11.7}{0.2}\approx-1

For X = 11.6  

z=\dfrac{11.6-11.7}{0.2}\approx-0.5

Now, the probability that the drink is between 11.511.5 and 11.611.6 fluid ounces will be :-

P(11.5

Hence, the probability that the drink is between 11.511.5 and 11.611.6 fluid ounces =0.1499

5 0
3 years ago
How many $3.50 burgers can you buy for a million dollars? Give your answers to the nearest whole numbers.
Nookie1986 [14]
\frac{1000000}{3.5}= 285714.29 = 285714Answer here Burgers
4 0
3 years ago
Read 2 more answers
Other questions:
  • Factors of 4x^3-14x^2+12x
    11·1 answer
  • Help someone <br> Work and correct = brainlist
    5·1 answer
  • Which of the following is a solution of x2 − 2x = −8? (6 points) Select one: a. negative 1 minus i square root of 28 b. 1 plus i
    13·1 answer
  • Please answer correctly !!!! Will mark brainliest !!!!!!
    15·2 answers
  • What does 8 - d stand for as in, 8 less than d, or d less than 8
    8·2 answers
  • Can someone help me out
    15·2 answers
  • Two sons shared ₦14,000 in the ratio of 4 ratio 3 what are their respective shares<br>​
    6·1 answer
  • In the song, 25 percent of the class weighed less than 6 pounds, 1 ounce at birth. 6 pounds, 1 ounce is the
    5·2 answers
  • Please help ..............
    14·1 answer
  • How would you write the equation
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!